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Adaptive Finite-Time Synchronization for Complex Dynamical Network with Different Dimensions of Nodes and Time-Varying Outer Coupling Structures
2018
Mathematical Problems in Engineering
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In this paper, we investigate finite-time synchronization problems of complex dynamical networks with different dimensions of nodes, which contain unknown periodically coupling structures and bounded time-varying ...
Based on finite-time stability theory, the inequality techniques, and the properties of Kronecker production of matrices, some useful finite-time synchronization criteria for complex dynamical network ...
The authors declare that they have no conflicts of interest.
Mathematical Problems in Engineering
Acknowledgments The work is supported by the National Natural Science ...
doi:10.1155/2018/2474150
fatcat:wxqxsgie6rhubk7ckwmtk2hl3e
Fixed-Time Synchronization for Hybrid Coupled Dynamical Networks with Multilinks and Time-Varying Delays
2017
Mathematical Problems in Engineering
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This paper concerns the problem of fixed/finite-time synchronization of hybrid coupled dynamical networks. ...
The considered dynamical networks with multilinks contain only one transmittal time-varying delay for each subnetwork, which makes us get hold of more interesting and practical points. ...
Acknowledgments The work is supported by the National Key Research and Development Program (Grant no. 2016YFB0800602) and the National Natural Science Foundation of China (Grant nos. 61472045 and 61573067 ...
doi:10.1155/2017/8435349
fatcat:ck7kyfkzrjaj7nx64v5dvnkj6u
Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling Delay
2018
Advances in Mathematical Physics
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This paper is concerned with two-layer complex networks with unidirectional interlayer couplings, where the drive and response layer have time-varying coupling delay and different topological structures ...
An adaptive control scheme is proposed to investigate finite-time mixed interlayer synchronization (FMIS) of two-layer networks. ...
Acknowledgments This research was funded by the National Natural Science Foundation of China (no. 11401595). ...
doi:10.1155/2018/7025404
fatcat:raagv2bypnaipcd5oeduix77t4
Adaptive Modified Function Projective Synchronization of Uncertain Complex Dynamical Networks with Multiple Time-Delay Couplings and Disturbances
2018
Mathematical Problems in Engineering
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This paper studies the modified function projective synchronization of uncertain complex dynamic network model with multiple time-delay couplings and external disturbances. ...
Based on Lyapunov stability theory, the positive definite function is designed and the sufficient conditions of synchronization are given. ...
The single time-delay coupling network is just a special case of multiple time-delay couplings complex networks. ...
doi:10.1155/2018/6384757
fatcat:gwttwz425fee3gsmjd2ne7liii
Complex transitions to synchronization in delay-coupled networks of logistic maps
2011
European Physical Journal D : Atomic, Molecular and Optical Physics
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A network of delay-coupled logistic maps exhibits two different synchronization regimes, depending on the distribution of the coupling delay times. ...
When the delays are homogeneous throughout the network, the network synchronizes to a time-dependent state [Atay et al., Phys. Rev. ...
The authors acknowledge the hospitality of The Max Planck Institute for Physics of Complex Systems, Dresden, where the initial steps of the research were taken. ...
doi:10.1140/epjd/e2011-10370-7
fatcat:ifmbbhpatze5bda2yfe6anzhvu
Finite-Time Pinning Synchronization Control for Coupled Complex Networks with Time-Varying Delays
2022
Discrete Dynamics in Nature and Society
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The finite-time pinning synchronization control problem is studied for coupled complex networks with time-varying delays. ...
The effectiveness of the proposed controller is verified by numerical simulation. This approach can be applied to large-scale complex networks with time-varying delays. ...
LQ20E050011 and the Science and Technology Plan of Taizhou City under grant no. 2003gy10. ...
doi:10.1155/2022/7119370
fatcat:2z3r3xsutjb6fkuu5c7spvsgvi
Finite-time synchronization of uncertain complex dynamic networks with time-varying delay
2020
Advances in Difference Equations
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This study investigates the finite-time synchronization of uncertain nonlinear complex dynamic networks with time-varying delay. ...
A new criterion for the finite-time synchronization of a class of complex dynamical networks with variable delay is obtained, and the upper bound of the time for the system to achieve synchronization is ...
Availability of data and materials The data used to support the findings of this study are available from the corresponding author upon request. ...
doi:10.1186/s13662-020-2508-3
fatcat:slc5rnn27bfz5njad4kvzpm3ui
Taming desynchronized bursting with delays in the Macaque cortical network
2011
Chinese Physics B
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This paper shows that the introduction of finite delays can lead to the synchronization of bursting and thus to the emergence of coherent propagating fronts of excitation in the space-time domain. ...
Moreover, it shows that the type of synchronous bursting is uniquely determined by the delay length, with the transitions from one type to the other occurring in a step-like manner depending on the delay ...
We have shown that finite, i.e. non-zero, delays induce synchronized bursts of activity, with the bursting type depending intricately on the delay length. ...
doi:10.1088/1674-1056/20/4/040504
fatcat:halwcrzykbdnvbqawv27yghxwi
Finite time Synchronization of Inertial Memristive Neural Networks with Time Varying Delay
2021
International Journal of Computers Communications & Control
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Finite time synchronization control of inertial memristor-based neural networks with varying delay is considered. ...
Based on Lyapunov finite time asymptotic theory, a kind of feedback controllers is designed for inertial memristorbased neural networks to realize the finite time synchronization. ...
[5] believed that a controller based on Markov scheduling protocol was designed to solve the mean-square inverse synchronization problem of periodic BAM neural network (NN) with time-varying delay. ...
doi:10.15837/ijccc.2021.3.4215
fatcat:kym7q4c25rdbvc2ofqm67537vi
Effects of Time-Varying Impulses on the Synchronization of Delayed Dynamical Networks
2013
Abstract and Applied Analysis
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The effects of time-varying impulses on the synchronization of a class of general complex delayed dynamical networks are investigated. ...
Different from the existing works, the impulses discussed here are time-varying, and both synchronizing and desynchronizing impulses are considered in the network model simultaneously. ...
Conflict of Interests The authors declare that there is no conflict of interests regarding the publication of this paper. ...
doi:10.1155/2013/212753
fatcat:dil62retvrgoxaefrlds2bbtty
Fixed-Time and Finite-Time Synchronization for a Class of Output-Coupling Complex Networks via Continuous Control
2019
International Journal of Communications, Network and System Sciences
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Synchronization of an array of linearly coupled memristor-based recurrent neural networks with impulses and time-varying delays was investigated in [6]. ...
stochastic memristor-based neural networks with time-varying probabilistic delay coupling and impulsive delay [13]. ...
In recent years, most of researches focus on state-coupling complex networks while output-coupling complex networks attracts relatively less attention let alone research on fixed-time and finite-time synchronization ...
doi:10.4236/ijcns.2019.1210011
fatcat:mhqzy23ymbd5hc7czhnxds4puu
Extreme events in FitzHugh-Nagumo oscillators coupled with two time delays
2017
Physical review. E
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2017 pre-print arXiv:1703.08300v1 fatcat:qf4upvos7rf3pbv4mxtqjbagheOther Versions
We study two identical FitzHugh-Nagumo oscillators which are coupled with one or two different time delays. ...
If only a single delay coupling is used, the length of the delay determines whether the synchronization manifold is transversally stable or unstable, exhibiting mixed mode or chaotic oscillations in which ...
and the Ministry of Science and Culture (MWK) of the Lower Saxony State. ...
doi:10.1103/physreve.95.062219
pmid:28709240
fatcat:p5schfyutbf5fhtqftmwp4piii
Exponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology
2010
IEEE Transactions on Circuits and Systems Part 1: Regular Papers
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This paper studies the local and global exponential synchronization of a complex dynamical network with switching topology and time-varying coupling delays. ...
For the latter case, in addition to average dwell time, an extra condition on the ratio of the total activation time of self-synchronizing and nonsynchronizing subnetworks is needed to achieve synchronization ...
In addition, another problem that deserves attention is the synchronization of networks with time-varying coupling delays. ...
doi:10.1109/tcsi.2010.2052508
fatcat:at5zaf3pnrf5zhaaqwpldqymoe
Finite-time synchronization of delayed complex dynamical network via pinning control
2017
Advances in Difference Equations
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We investigate a finite-time synchronization problem of hybrid-coupled delayed dynamical network via pinning control. ...
Some sufficient conditions are given for finite-time synchronization of undirected and directed complex network by applying finite-time stability lemma. ...
Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. ...
doi:10.1186/s13662-017-1402-0
fatcat:qvpybrcyybafrfiiwj3usyla74
Symbolic dynamics and synchronization of coupled map networks with multiple delays
2010
Physics Letters A
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2008 pre-print arXiv:0805.1837v1 fatcat:ylxhdqlgmvg4hgqoi2iiischpqOther Versions
We present two applications to coupled map lattices, namely (1) detecting synchronization and (2) determining unknown values of the transmission delays in networks with possibly directed and weighted connections ...
The method is applicable to multi-dimensional as well as set-valued maps, and to networks with time-varying delays and connection structure. ...
Conversely, a knowledge of the delays enables one to detect network synchronization using measurements from a single node. ...
doi:10.1016/j.physleta.2010.10.044
fatcat:evvddmxtlvdnpaduxttbnpcmwm
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