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Adaptive Finite-Time Synchronization for Complex Dynamical Network with Different Dimensions of Nodes and Time-Varying Outer Coupling Structures

Lihong Yan, Junmin Li
2018 Mathematical Problems in Engineering  
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

Baolin Qiu, Lixiang Li, Haipeng Peng, Yixian Yang
2017 Mathematical Problems in Engineering  
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

Xiaoyun Tang, Zhanying Yang, Jie Zhang
2018 Advances in Mathematical Physics  
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

Jie Fang, Na Liu, Junwei Sun
2018 Mathematical Problems in Engineering  
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

C. Masoller, F.M. Atay
2011 European Physical Journal D : Atomic, Molecular and Optical Physics  
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

Hebing Zhang, Xiaojing Zheng, Ning Li, Giulio E. Cantarella
2022 Discrete Dynamics in Nature and Society  
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

Yiping Luo, Yuejie Yao
2020 Advances in Difference Equations  
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

Qing-Yun Wang, Qi-Shao Lu
2011 Chinese Physics B  
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

Yajing Pang, Shengmei Dong
2021 International Journal of Computers Communications & Control  
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

Shuiming Cai, Peipei Zhou, Zengrong Liu
2013 Abstract and Applied Analysis  
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

Zhiwei Li
2019 International Journal of Communications, Network and System Sciences  
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

Arindam Saha, Ulrike Feudel
2017 Physical review. E  
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

Tao Liu, Jun Zhao, David J. Hill
2010 IEEE Transactions on Circuits and Systems Part 1: Regular Papers  
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

Feng Xiao, Qintao Gan
2017 Advances in Difference Equations  
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

Fatihcan M. Atay, Sarika Jalan, Jürgen Jost
2010 Physics Letters A  
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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