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Kick synchronization versus diffusive synchronization [article]

Alexandre Mauroy, Pierre Sacré, Rodolphe Sepulchre
<span title="2013-01-24">2013</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The paper provides an introductory discussion about two fundamental models of oscillator synchronization: the (continuous-time) diffusive model, that dominates the mathematical literature on synchronization  ...  , and the (hybrid) kick model, that accounts for most popular examples of synchronization, but for which only few theoretical results exist.  ...  Section 3 focuses on (possibly strong) diffusive synchronization while Section 4 focuses (possibly strong) kick synchronization.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1209.4970v3">arXiv:1209.4970v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lj2hla3iqjgrzkhkufecljvnu4">fatcat:lj2hla3iqjgrzkhkufecljvnu4</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-1209.4970/1209.4970.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1209.4970v3" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Kick synchronization versus diffusive synchronization

Alexandre Mauroy, Pierre Sacre, Rodolphe Sepulchre
<span title="">2012</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wjd7b2sxyfahnaei4xvi46vwsu" style="color: black;">2012 IEEE 51st IEEE Conference on Decision and Control (CDC)</a> </i> &nbsp;
The paper provides an introductory discussion about two fundamental models of oscillator synchronization: the (continuous-time) diffusive model, that dominates the mathematical literature on synchronization  ...  , and the (hybrid) kick model, that accounts for most popular examples of synchronization, but for which only few theoretical results exist.  ...  Sections III and IV focus on (possibly strong) diffusive and kick synchronization, respectively.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/cdc.2012.6425821">doi:10.1109/cdc.2012.6425821</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/cdc/MauroySS12.html">dblp:conf/cdc/MauroySS12</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rbwgvlbllbf4nlumzddp5m67we">fatcat:rbwgvlbllbf4nlumzddp5m67we</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170818012306/http://orbi.ulg.ac.be/bitstream/2268/145353/1/mss-CDC2012-tutorial.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5b/f1/5bf1289f55f0bb1f0072b2c63845f81163284a62.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/cdc.2012.6425821"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Localization in frequency for periodically kicked light propagation in a dispersive single-mode fiber

Baruch Fischer, Amir Rosen, Shmuel Fishman
<span title="1999-11-01">1999</span> <i title="The Optical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tjz57sbghnbv7oxjartzii6rwu" style="color: black;">Optics Letters</a> </i> &nbsp;
The wave behavior eliminates the diffusive spread of sidebands (harmonics).  ...  The effect is analogous to the dynamical localization that occurs for the quantum kicked rotor, which is similar to Anderson localization in disordered solids.  ...  We emphasize the need for synchronization of the modulation of the phases of the kicks.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/ol.24.001463">doi:10.1364/ol.24.001463</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/18079833">pmid:18079833</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/orxdst3wfnhxdkvlnmizfkwoua">fatcat:orxdst3wfnhxdkvlnmizfkwoua</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809045455/http://webee.technion.ac.il/people/fischer/Papers/1999%20OL%2024%201463%20Localization%20in%20frequency....pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/50/f8/50f85ba2be1c32426f6f5ab778a742e63d35e70b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/ol.24.001463"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

EXPERIMENTAL OBSERVATION OF LAG SYNCHRONIZATION IN COUPLED CHAOTIC SYSTEMS

SAEED TAHERION, YING-CHENG LAI
<span title="">2000</span> <i title="World Scientific Pub Co Pte Lt"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/fdwi2lzrxzbppibh65sn47xgna" style="color: black;">International Journal of Bifurcation and Chaos in Applied Sciences and Engineering</a> </i> &nbsp;
We investigate to what extent lag synchronization can be observed in laboratory experiments.  ...  Our measurements indicate that due to the influence of noise, lag synchronization appears to occur intermittently in time.  ...  But since the synchronization manifold is transversely stable, a deviated trajectory will eventually come back to the neighborhood of the synchronization manifold and stays there until it is kicked off  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1142/s021812740000164x">doi:10.1142/s021812740000164x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/itd6dt6wwneujouce6amc25xpu">fatcat:itd6dt6wwneujouce6amc25xpu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190302195310/http://pdfs.semanticscholar.org/a8b0/a18b468b6aeea01758ad63d88b3d0fdef466.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a8/b0/a8b0a18b468b6aeea01758ad63d88b3d0fdef466.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1142/s021812740000164x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> worldscientific.com </button> </a>

Many-Body Synchronization in a Classical Hamiltonian System

Reyhaneh Khasseh, Rosario Fazio, Stefano Ruffo, Angelo Russomanno
<span title="2019-10-31">2019</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pkmpevvs3bgkhal5dvrmsu5mvq" style="color: black;">Physical Review Letters</a> </i> &nbsp;
In the thermodynamic limit there is a transition between a regime where all the spins oscillate synchronously for an infinite time with a period twice as the driving period (synchronized regime) and a  ...  In the thermodynamic limit there is a transition between a regime where all the spins oscillate synchronously for an infinite time with a period twice as the driving period (synchronized regime) and a  ...  Even if the KAM theorem guarantees that only a part of the phase space is chaotic, if there are three or more degrees of freedom, Diffusion in phase space makes the dynamics chaotic and thermalising (at  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.123.184301">doi:10.1103/physrevlett.123.184301</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kgnxw34npjgkhp4dbkzc265cim">fatcat:kgnxw34npjgkhp4dbkzc265cim</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200928100841/https://arxiv.org/pdf/1906.11262v1.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/8e/be/8ebe034a957f44572c5f63a9a9b2c60b1c3df53d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.123.184301"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Behavior During Tethered Kicking in Infants With Periventricular Brain Injury

Suzann K. Campbell, Whitney Cole, Kara Boynewicz, Laura A. Zawacki, April Clark, Deborah Gaebler-Spira, Raye-Ann deRegnier, Maxine M. Kuroda, Dipti Kale, Michele Bulanda, Sangeetha Madhavan
<span title="">2015</span> <i title="Ovid Technologies (Wolters Kluwer Health)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xerycvcyvngehhcertjdo7q2su" style="color: black;">Pediatric Physical Therapy</a> </i> &nbsp;
These differences in findings may result from differences in the task: spontaneous kicking versus movements in a rewarding functional activity.  ...  Proportions of right hip flexion movements that were synchronous (versus ipsilateral or alternate) were also compared among the 3 developmental outcomes and between 2 months and 4 months CA using repeated  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1097/pep.0000000000000173">doi:10.1097/pep.0000000000000173</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/26397087">pmid:26397087</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC4703037/">pmcid:PMC4703037</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/uvs43egp4fcotmbgvyge2ez6e4">fatcat:uvs43egp4fcotmbgvyge2ez6e4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200208132101/http://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC4703037&amp;blobtype=pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ac/3e/ac3e963abb9bb605a67a2b3c8e1775b9426e77a9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1097/pep.0000000000000173"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4703037" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Spatial correlations and synchronization in coupled map lattices with long-range interactions

D.B. Vasconcelos, R.L. Viana, S.R. Lopes, A.M. Batista, S.E. de S. Pinto
<span title="">2004</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dlb6tmf5cve7dphk62d6tkyuvy" style="color: black;">Physica A: Statistical Mechanics and its Applications</a> </i> &nbsp;
The main tool is spatial return plots, whose properties are used to obtain information about the chaotic synchronized states of the system.  ...  ARTICLE IN PRESS The boundary between synchronized ð R ¼ 1Þ and non-synchronized ð Ra1Þ regions will be represented in the coupling parameter plane ( versus a) by a curve c ðaÞ.  ...  chemical substance [14] ; and systems of diffusion coupling in nucleation kinetics, with elimination of the rapidly diffusing components [15] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2004.06.063">doi:10.1016/j.physa.2004.06.063</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tr7ly2d6enhb7l6p3qg6jyhaia">fatcat:tr7ly2d6enhb7l6p3qg6jyhaia</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808193705/http://fisica.ufpr.br/viana/artigos/2004/correlations.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/8b/3c/8b3cc372e5c6a03d107976dbab20c429b4d74212.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2004.06.063"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Spatial correlations and synchronization in coupled map lattices with long-range interactions

D VASCONCELOS, R VIANA, S LOPES, A BATISTA, S PINTO
<span title="2004-11-15">2004</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dlb6tmf5cve7dphk62d6tkyuvy" style="color: black;">Physica A: Statistical Mechanics and its Applications</a> </i> &nbsp;
The main tool is spatial return plots, whose properties are used to obtain information about the chaotic synchronized states of the system.  ...  ARTICLE IN PRESS The boundary between synchronized ð R ¼ 1Þ and non-synchronized ð Ra1Þ regions will be represented in the coupling parameter plane ( versus a) by a curve c ðaÞ.  ...  chemical substance [14] ; and systems of diffusion coupling in nucleation kinetics, with elimination of the rapidly diffusing components [15] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0378-4371(04)00856-8">doi:10.1016/s0378-4371(04)00856-8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dke3styhnbgnpehpmog7ls2ug4">fatcat:dke3styhnbgnpehpmog7ls2ug4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808193705/http://fisica.ufpr.br/viana/artigos/2004/correlations.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/8b/3c/8b3cc372e5c6a03d107976dbab20c429b4d74212.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0378-4371(04)00856-8"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Experimental study of imperfect phase synchronization in the forced Lorenz system

Antonio Pujol-Peré, Oscar Calvo, Manuel A. Matı́as, Jürgen Kurths
<span title="">2003</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jh7idzebgzcuffjreetqux4374" style="color: black;">Chaos</a> </i> &nbsp;
Instead, imperfect phase synchronization is characterized by the occurrence of phase slips, associated to epochs of time during which the chaotic oscillator exhibits a slower time scale.  ...  In this work we demonstrate for an experimental system, that exhibits the Lorenz butterfly attractor behavior, that perfect chaotic phase synchronization cannot be achieved in systems with an unbounded  ...  synchronization plateau, and, again, a diffuse cloud when increasing the forcing frequency outside the pla-teau ͓see Figs. 5͑a͒-5͑f͔͒.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.1525126">doi:10.1063/1.1525126</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xwcbnz5wyjek7aazk5aoffo4ce">fatcat:xwcbnz5wyjek7aazk5aoffo4ce</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171129052509/https://core.ac.uk/download/pdf/36026124.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c5/62/c562929325f2cde2f6c3c16e599c02c181a53090.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.1525126"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Evolution of localization in frequency for modulated light pulses in a recirculating fiber loop

Shimie Atkins, Amir Rosen, Alexander Bekker, Baruch Fischer
<span title="2003-11-15">2003</span> <i title="The Optical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tjz57sbghnbv7oxjartzii6rwu" style="color: black;">Optics Letters</a> </i> &nbsp;
We present an experimental demonstration of the evolution of localization in frequency of light pulses that are repeatedly kicked by phase modulation and then propagated along equally spaced lengths of  ...  The experimental results versus numerical simulation of the localization buildup can be observed for f 4.5 GHz and f 7 GHz (where g ഠ 0.0048, and g ഠ 0.011 respectively), where there is diffusive broadening  ...  For each g, the spectrum was measured for every kick as long as measurement was possible (until lasing of the system or loss of synchronization).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/ol.28.002228">doi:10.1364/ol.28.002228</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/14649950">pmid:14649950</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/igjdava2xbdxvjbpknf2pjopya">fatcat:igjdava2xbdxvjbpknf2pjopya</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810051211/http://webee.technion.ac.il/people/fischer/Papers/2003%20OL%2028%202228%20Evolution%20of%20Localization.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3f/17/3f17263d3ca78429a3edebe9c4d85aa629ac7bfc.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/ol.28.002228"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Lyapunov spectrum and synchronization of piecewise linear map lattices with power-law coupling

Antônio M. Batista, Sandro E. de S. Pinto, Ricardo L. Viana, Sergio R. Lopes
<span title="2002-05-02">2002</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hphsuvsjtvgjvnloxbomufglhe" style="color: black;">Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics</a> </i> &nbsp;
We study the synchronization properties of a lattice of chaotic piecewise linear maps. The coupling strength decreases with the lattice distance in a power-law fashion.  ...  We obtain the Lyapunov spectrum of the coupled map lattice and investigate the relation between spatiotemporal chaos and synchronization of amplitudes and phases, using suitable numerical diagnostics.  ...  of diffusion coupling in nucleation kinetics, with elimination of the rapidly diffusing components ͓13͔.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.65.056209">doi:10.1103/physreve.65.056209</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/12059682">pmid:12059682</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rwkppvy335fmfn32wtybmdn3xe">fatcat:rwkppvy335fmfn32wtybmdn3xe</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809101046/http://fisica.ufpr.br/viana/artigos/2002/PhysRevE_65_056209.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/cb/b3/cbb3bd748018c4f83ef270b4d87e49e61060f417.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.65.056209"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Noise scaling of phase synchronization of chaos

Victor Andrade, Ruslan L. Davidchack, Ying-Cheng Lai
<span title="2000-03-01">2000</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hphsuvsjtvgjvnloxbomufglhe" style="color: black;">Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics</a> </i> &nbsp;
In such a case, it is highly desirable to suppress phase diffusions between chaotic communication channels to ensure proper timing for decoding.  ...  This is the phase synchronization of chaotic oscillators which occurs at smaller coupling strength than that required for complete synchronization.  ...  Phase synchronization occurs when C is increased through the critical value C p Ϸ0.029, in which we have ⌬(t)р2. Fig. 1 shows such a situation for Cϭ0.03, where ⌬(t) versus t is plotted.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.61.3230">doi:10.1103/physreve.61.3230</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5ll2shl5s5goxgqpuotrlhxtja">fatcat:5ll2shl5s5goxgqpuotrlhxtja</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808210800/http://chaos1.la.asu.edu/~yclai/papers/PRE_00_ADL.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/52/9e/529e15da5602586d4389a9a9aaf08ed25505b646.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.61.3230"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Collective stochastic coherence and synchronizability in weighted scale-free networks

Pablo Balenzuela, Pau Rué, Stefano Boccaletti, Jordi Garcia-Ojalvo
<span title="2014-01-21">2014</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/bt7vbjky6zbevclechrlkkahae" style="color: black;">New Journal of Physics</a> </i> &nbsp;
Therefore one can expect systems that synchronize well to have a poor collective response to noise.  ...  Specifically, our results reveal that weighted scale-free networks of diffusively coupled excitable elements exhibit both high synchronizability of their subthreshold dynamics and a good collective response  ...  For larger noise levels disorder kicks in, degrading that optimally coherent response.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/1367-2630/16/1/013036">doi:10.1088/1367-2630/16/1/013036</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6ughtdy6hbbd3hhiohqd66c3qm">fatcat:6ughtdy6hbbd3hhiohqd66c3qm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190305132136/http://pdfs.semanticscholar.org/ead3/645bfd231f19800dd81840e6e852cb09457e.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ea/d3/ead3645bfd231f19800dd81840e6e852cb09457e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/1367-2630/16/1/013036"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> iop.org </button> </a>

Clustering and diffusion in a symplectic map lattice with non-local coupling

C.F. Woellner, S.R. Lopes, R.L. Viana, I.L. Caldas
<span title="">2009</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/m277ldcfivaenohvc5kjxuddvi" style="color: black;">Chaos, Solitons &amp; Fractals</a> </i> &nbsp;
Such clusters are found to be related to stickiness of chaotic phase-space trajectories near periodic island remnants, and also to the behavior of the diffusion coefficient.  ...  A physically interesting example would be a chain of coupled driven rotators, for which the coupling is modulated through a sequence of delta-pulsed kicks.  ...  The quantum periodically kicked rotator, the classical limit of which is described by the SM, is one of the most intensively investigated models of quantum chaos [8] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.chaos.2008.08.026">doi:10.1016/j.chaos.2008.08.026</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jmb3ned3zbbrjc3mtm7w4jaxje">fatcat:jmb3ned3zbbrjc3mtm7w4jaxje</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808082234/http://fisica.ufpr.br/viana/artigos/2009/cristiano_2009.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3c/2f/3c2f90500d90a3bc2f47abd210112b47a7f6f996.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.chaos.2008.08.026"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Classical dynamics and particle transport in kicked billiards

D.U. Matrasulov, U.R. Salomov, G.M. Milibaeva, N.E. Iskandarov
<span title="">2011</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jsigantcpjamteymlcjp25zyvq" style="color: black;">Physica D : Non-linear phenomena</a> </i> &nbsp;
It is found that ensemble averaged energy of the particle diffusively grows as a function of time. This growth is much more extensive than that of kicked rotor energy.  ...  It is shown that momentum transfer distribution in kicked billiard is considerably different than that for kicked free particle.  ...  (Color online) Kicked square billiard with three holes FIG . 16 . Transmission (T ) and reflection (R) coefficients versus kicking force α. σ = 0.001 × a, N0 = 10 6 , p0 = 1.0  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physd.2010.10.013">doi:10.1016/j.physd.2010.10.013</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mi2jl2pbwjektiyrkhd7edkz6i">fatcat:mi2jl2pbwjektiyrkhd7edkz6i</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-1106.6236/1106.6236.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physd.2010.10.013"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>
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