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16+ results
Field: Nonlinear Dynamics and Pattern Formation

Exponential Synchronization of Linearly Coupled Neural Networks With Impulsive Disturbances

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Jianquan Lu, Daniel W. C. Ho, Jinde Cao, Jürgen Kurths

Journal: IEEE Transactions on Neural Networks
Year: 2011
Citations: 391

This brief investigates globally exponential synchronization for linearly coupled neural networks (NNs) with time-varying delay and impulsive disturbances. Since the impulsive effects discussed in this brief are regarded as disturbances, the impulses should not happen too frequently. The concept of ...

Physical SciencesComputer ScienceComputer Networks and Communications
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Consensus of second-order multi-agent systems with delayed nonlinear dynamics and intermittent communications

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Guanghui Wen, Zhisheng Duan, Wenwu Yu, Guanrong Chen

Journal: International Journal of ControlYear: 2013Citations: 193

This article investigates the second-order consensus problem of multi-agent systems with inherent delayed nonlinear dynamics and intermittent communications. Each agent is assumed to obtain the measurements of relative states between its own and the neighbours' only at a sequence of disconn...

Physical SciencesComputer ScienceComputer Networks and CommunicationsOpen Access
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Diversity of the Madden-Julian Oscillation

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Bin Wang, Guosen Chen, Fei Liu

Journal: Science AdvancesYear: 2019Citations: 167

Madden-Julian Oscillation (MJO) is the dominant mode of atmospheric intraseasonal variability and the cornerstone for subseasonal prediction of extreme weather events. Climate modeling and prediction of MJO remain a big challenge, partially due to lack of understanding the MJO diversity. Here, we de...

Physical SciencesEnvironmental ScienceGlobal and Planetary ChangeOpen Access
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Quasi-projective and complete synchronization of fractional-order complex-valued neural networks with time delays

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Hongli Li, Cheng Hu, Jinde Cao, Haijun Jiang et al.

Journal: Neural NetworksYear: 2019Citations: 150

This paper studies quasi-projective synchronization (QPS) and complete synchronization (CS) for a class of fractional-order complex-valued neural networks with time delays by designing suitable controllers. To realize QPS and CS, linear feedback controller and adaptive controller are designed, and a...

Physical SciencesComputer ScienceComputer Networks and Communications
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Bipartite synchronization in coupled delayed neural networks under pinning control

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Fang Liu, Qiang Song, Guanghui Wen, Jinde Cao et al.

Journal: Neural NetworksYear: 2018Citations: 125

This paper considers the bipartite leader-following synchronization in a signed network composed by an array of coupled delayed neural networks by utilizing the pinning control strategy and M-matrix theory, where the communication links between neighboring nodes of the network can be either positive...

Physical SciencesComputer ScienceComputer Networks and Communications
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Parameter identification of dynamical systems from time series

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Wenwu Yu, Guanrong Chen, Jinde Cao, Jinhu Lü et al.

Journal: Physical Review EYear: 2007Citations: 123

In this paper, synchronization based parameter identification of dynamical systems from time series is carefully revisited. It is shown, based on rigorous theoretical analysis and concrete counterexamples, that some recent research reports on this issue are incomplete or even incorrect. A linear ind...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear PhysicsOpen Access
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Unified synchronization criteria in an array of coupled neural networks with hybrid impulses

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Nan Wang, Xuechen Li, Jianquan Lu, Fuad E. Alsaadi

Journal: Neural NetworksYear: 2018Citations: 112

This paper investigates the problem of globally exponential synchronization of coupled neural networks with hybrid impulses. Two new concepts on average impulsive interval and average impulsive gain are proposed to deal with the difficulties coming from hybrid impulses. By employing the Lyapunov met...

Physical SciencesComputer ScienceComputer Networks and Communications
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Stability and synchronization of fractional-order memristive neural networks with multiple delays

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Liping Chen, Jinde Cao, Ranchao Wu, J. A. Tenreiro Machado et al.

Journal: Neural NetworksYear: 2017Citations: 109

The paper presents theoretical results on the global asymptotic stability and synchronization of a class of fractional-order memristor-based neural networks (FMNN) with multiple delays. First, the asymptotic stability of fractional-order (FO) linear systems with single or multiple delays is discusse...

Physical SciencesComputer ScienceComputer Networks and Communications
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Synchronization of discrete-time neural networks with delays and Markov jump topologies based on tracker information

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Xinsong Yang, Zhiguo Feng, Jianwen Feng, Jinde Cao

Journal: Neural NetworksYear: 2016Citations: 101

In this paper, synchronization in an array of discrete-time neural networks (DTNNs) with time-varying delays coupled by Markov jump topologies is considered. It is assumed that the switching information can be collected by a tracker with a certain probability and transmitted from the tracker to cont...

Physical SciencesComputer ScienceComputer Networks and Communications
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Finite-time and fixed-time synchronization analysis of inertial memristive neural networks with time-varying delays

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Ruoyu Wei, Jinde Cao, Ahmed Alsaedi

Journal: Cognitive NeurodynamicsYear: 2017Citations: 97

This paper investigates the finite-time synchronization and fixed-time synchronization problems of inertial memristive neural networks with time-varying delays. By utilizing the Filippov discontinuous theory and Lyapunov stability theory, several sufficient conditions are derived to ensure finite-ti...

Physical SciencesComputer ScienceComputer Networks and CommunicationsOpen Access
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Global exponential stability and lag synchronization for delayed memristive fuzzy Cohen–Grossberg BAM neural networks with impulses

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Wengui Yang, Wenwu Yu, Jinde Cao, Fuad E. Alsaadi et al.

Journal: Neural NetworksYear: 2017Citations: 95

This paper investigates the stability and lag synchronization for memristor-based fuzzy Cohen-Grossberg bidirectional associative memory (BAM) neural networks with mixed delays (asynchronous time delays and continuously distributed delays) and impulses. By applying the inequality analysis technique,...

Physical SciencesComputer ScienceComputer Networks and Communications
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Synchronization of coupled neural networks under mixed impulsive effects: A novel delay inequality approach

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Yaqi Wang, Jianquan Lu, Xiaodi Li, Jinling Liang

Journal: Neural NetworksYear: 2020Citations: 89

In this paper, the synchronization problems of an array of coupled neural networks with mixed impulses are considered. Here mixed impulses contain desynchronizing delay-free impulses, synchronizing delay-free impulses, desynchronizing delayed impulses and synchronizing delayed impulses. A novel conc...

Physical SciencesComputer ScienceComputer Networks and Communications
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Finite‐time multi‐switching sliding mode synchronisation for multiple uncertain complex chaotic systems with network transmission mode

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Xiangyong Chen, Tingwen Huang, Jinde Cao, Ju H. Park et al.

Journal: IET Control Theory and ApplicationsYear: 2019Citations: 68

This study mainly investigates finite‐time multi‐switching synchronisation of multiple uncertain complex chaotic systems with network transmission mode. Both the unknown parameters and disturbances are considered. By establishing the desired multi‐switching rules, the definition of finite‐time hybri...

Physical SciencesPhysics and AstronomyStatistical and Nonlinear Physics
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New kinds of analytical solitary wave solutions for ionic currents on microtubules equation via two different techniques

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Mostafa M. A. Khater, Adil Jhangeer, Hadi Rezazadeh, Lanre Akinyemi et al.

Journal: Optical and Quantum ElectronicsYear: 2021Citations: 67
Physical SciencesPhysics and AstronomyAtomic and Molecular Physics, and Optics
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Stability and Hopf bifurcation for a prey–predator model with prey-stage structure and diffusion

Verified

Mingxin Wang

Journal: Mathematical BiosciencesYear: 2007Citations: 52

In this paper, we first propose a prey-predator model with prey-stage structure and diffusion. Then we discuss the following three problems: (1) stability of non-negative constant steady states for the reduced ODE system and the corresponding reaction diffusion system with homogeneous Neumann bounda...

Health SciencesMedicinePublic Health, Environmental and Occupational Health
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