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Chaotic oscillator in wavelength: a new setup for investigating differential difference equations describing nonlinear dynamics

L. Larger, J.-P. Goedgebuer, J.-M. Merolla
1998 IEEE Journal of Quantum Electronics  
Experimental results are compared with numerical simulations and with previous theoretical and experimental results.  ...  A generator of chaos in wavelength is reported. It is formed by a wavelength-tunable laser diode with a time delayed feedback loop in which a wavelength nonlinearlinear device is introduced.  ...  Delorme from CNET Bagneux for the DBR multielectrode tunable laser diode used in the experiments.  ... 
doi:10.1109/3.663432 fatcat:usoysmrpjvgyzheuif2c7klka4

Resource Letter: ND-1: Nonlinear Dynamics

Robert C. Hilborn, Nicholas B. Tufillaro
1997 American Journal of Physics  
Journal articles and books are cited for the following topics: general aspects of nonlinear dynamics and applications of nonlinear dynamics to various fields of physics, other sciences, and a few areas  ...  Software and Internet resources are given also.  ...  ''Experimental Verification of a Universal Scaling Law for the Lyapunov Exponent of a Chaotic System,'' S. C. Johnston and R. C. Hilborn, Phys. Rev. A 37, 2680-2182 ͑1988͒. ͑I͒ 168.  ... 
doi:10.1119/1.18544 fatcat:c4vke6hf3vgm3k5llvukuqdheq

Application of nonlinear dynamic techniques to high pressure plasma jets

S Ghorui, A K Das
2010 Journal of Physics, Conference Series  
Arcs and arc plasmas have been known and used for welding, cutting, chemical synthesis and multitude of other industrial applications for more than hundred years.  ...  and possible control methods for the observed instabilities in arcs are reviewed.  ...  Gantayet, Associate Director, BTDG, BARC, for his kind permission to carry out this work, constant support and encouragement.  ... 
doi:10.1088/1742-6596/208/1/012057 fatcat:i22s4hptbve2znrgmypofvxigi

Investigation on the Formation of Laser Transverse Pattern Possessing Optical Lattices

Xin Wang, Zilong Zhang, Yuan Gao, Suyi Zhao, Yuchen Jie, Changming Zhao
2022 Frontiers in Physics  
However, in our research, it is found that some high-order complex symmetric OL patterns can hardly be analyzed by TML model.  ...  , quantum entanglement, and optical communication.  ...  Experimental Setup and Results In order to verify the above theory and simulation analysis, we carried out experimental verification based on microchip solid-state laser with large Fresnel number.  ... 
doi:10.3389/fphy.2021.801916 fatcat:xh5dro74hncjhcnwywgyzsl65m

Experimental mathematics

Michiel Hazewinkel
1985 Mathematical Modelling  
analysis, operations research, and statistics. . . .  ...  and universality for iterated maps", and "integrable systems and the soliton revolution".  ...  It resulted finally in the synthesis of a potent bicyclic inhibitor molecule, and a patent was applied for a few weeks ago." 1982) .  ... 
doi:10.1016/0270-0255(85)90044-2 fatcat:76yrkr3bdjahfmkp5p5kpmvo34

Entropy

Constantino Tsallis
2022 Encyclopedia  
Along such lines, theoretical, experimental, observational and computational efforts, and their connections to nonlinear dynamical systems and the theory of probabilities, are currently under progress.  ...  The most popular among them are the additive Renyi one introduced in 1961, and the nonadditive one introduced in 1988 as a basis for the generalization of the Boltzmann–Gibbs and related equilibrium and  ...  Acknowledgments: I have benefited from useful remarks from Ernesto Pinheiro Borges, Evaldo Mendonça Fleury Curado and Ugur Tirnakli.  ... 
doi:10.3390/encyclopedia2010018 fatcat:ejrkuljixvhglae37nhmu2bdea

Enthusiasm and Skepticism: Two Pillars of Science—A Nonextensive Statistics Case

Constantino Tsallis
2022 Physics  
Our friend and colleague Jean Willy André Cleymans (1944–2021), with his open personality, high and longstanding interest for innovation, and recognized leadership in high-energy physics, constitutes a  ...  Science and its evolution are based on complex epistemological structures.  ...  Acknowledgments: I am grateful for useful remarks from A. Deppman, E. Megias, A.R. Plastino, D. Rocha and R.S. Wedemann.  ... 
doi:10.3390/physics4020041 fatcat:7nauaxhb2nawhkb4xgyh4zb7ly

Page 1463 of Mathematical Reviews Vol. 24, Issue Index [page]

Mathematical Reviews  
Generalized spectral laws for the energy and enstrophy cascades in a two-dimensional turbulence. 92i:76049 Sirovich, Lawrence Empirical eigenfunctions and low-dimensional systems.  ...  Experimental verification of the hypothesis of fine-scale isotropy of turbulence. (Russian) Kraichnan, Robert H. Turbulent cascade and intermittency growth. 92f:76062 Kuznetsov, V.R. see Karyakin, M.  ... 

Pattern formation in spatially forced thermal convection

S Weiss, G Seiden, E Bodenschatz
2012 New Journal of Physics  
For an experimental verification, rolls with a specific wave number were forced via a 500 W incandescent lamp [38, 36, 35] .  ...  In both cases, simulation were done in the past, but the experimental verification is still missing.  ...  and ε = 0.17 LB.avi: Longitudinal Bursts at γ = 85°and ε = 0.185 STChaos.avi: Spatio-temporal chaos at γ = 0°and ε = 2.65).  ... 
doi:10.1088/1367-2630/14/5/053010 fatcat:zrejhl3febftjpsqgxwc4i2i6i

Patterns and collective behavior in granular media: Theoretical concepts

Igor S. Aranson, Lev S. Tsimring
2006 Reviews of Modern Physics  
Their aim is two-fold: to identify general principles common for granular systems and other complex non-equilibrium systems, and to elucidate important distinctions between collective behavior in granular  ...  and continuum pattern-forming systems.  ...  many others, for the most part of the last century it has been a domain of applied engineering research.  ... 
doi:10.1103/revmodphys.78.641 fatcat:d3nlqgmavfc6porcthojgus5ry

Adaptive Optics and Optical Vortices [chapter]

S. G., F. A., Yu. I.
2012 Adaptive Optics Progress  
The experimental set-up consists of a system for forming the collimated laser beam = . μ , a Mach-Zehnder interferometer and a registration system of the far field beam intensity and interference pattern  ...  The experimental setup for registration of an optical vortex wavefront consists of a system for formation of collimated laser beam, the Mach-Zehnder interferometer as in the scheme in Figure , and the  ... 
doi:10.5772/53328 fatcat:3mmcx5bvyngclafjle3bs7vmru

Topology, Vorticity and Limit Cycle in a Stabilized Kuramoto-Sivashinsky Equation [article]

Yong-Cong Chen, Chunxiao Shi, J. M. Kosterlitz, Xiaomei Zhu, Ping Ao
2022 arXiv   pre-print
For values of control parameter for which periodic stationary patterns exist, the dynamics can be decomposed into diffusive and transverse parts which act on a stochastic potential.  ...  Our findings might be relevant in studies of other nonlinear systems such as deep learning neural networks.  ...  E 49(1):166–183. [25] Brunet P (2007) Stabilized Kuramoto-Sivashinsky equation: A useful model for secondary instabilities and related dynamics of experimental one-dimensional cellular flows.  ... 
arXiv:2207.02530v1 fatcat:w7hidsnmmndzzoargt2ogkfg3q

Mathematical Aspects of Extreme Water Waves [article]

Natanael Karjanto
2020 arXiv   pre-print
The experimental results conducted at the high-speed wave basin of Maritime Research Institute Netherlands show a remarkable qualitative agreement with the predicted theoretical model, including an amplitude  ...  for these is the unboundedness of the Chu-Mei quotient.  ...  More details about this theory, including an experimental verification can be found in . For the history of wave generation theory, see also references in this paper.  ... 
arXiv:2006.00766v1 fatcat:sfkscsrjafbyvgv5uofps2etai