Anti-Synchronization of a Class of Chaotic Systems with Application to Lorenz System: A Unified Analysis of the Integer Order and Fractional Order

Chen, Liang; Huang, Chengdai; Liu, Haidong; Xia, Yonghui

doi:10.3390/math7060559

Cited by 10 publications

(4 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In fact, there are numerous investigations on antiphase synchronization [54,[84][85][86][87] and antisynchronization [88][89][90][91][92][93][94][95][96][97][98][99]. However, our goal is to look at the interlayer antisynchronization of attractive-repulsively coupled amplitude oscillators in a multilayer network.…”

Section: Discussionmentioning

confidence: 99%

Interlayer antisynchronization in degree-biased duplex networks

et al. 2023

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 99%

Interlayer antisynchronization in degree-biased duplex networks

et al. 2023

View full text Add to dashboard Cite

“…During neuron transmission, synchronous resonance is a very important biological phenomenon. In recent years, a lot of systems have been investigated to realize synchronization such as time-varying switched systems, MNNs, and BAM neural networks [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. In [8], a new switching pinning controller was designed to finite-time synchronization in nonlinear coupled neural networks by regulating a parameter.…”

Section: Introductionmentioning

confidence: 99%

Synchronization Analysis for Stochastic Inertial Memristor-Based Neural Networks with Linear Coupling

Xia

Yan

et al. 2020

Complexity

Self Cite

View full text Add to dashboard Cite

This paper concerns the synchronization problem for a class of stochastic memristive neural networks with inertial term, linear coupling, and time-varying delay. Based on the interval parametric uncertainty theory, the stochastic inertial memristor-based neural networks (IMNNs for short) with linear coupling are transformed to a stochastic interval parametric uncertain system. Furthermore, by applying the Lyapunov stability theorem, the stochastic analysis approach, and the Halanay inequality, some sufficient conditions are obtained to realize synchronization in mean square. The established criteria show that stochastic perturbation is designed to ensure that the coupled IMNNs can be synchronized better by changing the state coefficients of stochastic perturbation. Finally, an illustrative example is presented to demonstrate the efficiency of the theoretical results.

show abstract

“…Still the chaos synchronization is a nontrivial task interesting impact on chaos based engineering applications such as secure communications etc. In last two decades many researchers presented the chaos synchronization using master -slave methodology (11)(12)(13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27)(28)(29) . In this methodology, particular chaotic system is considered as master system and another or same chaotic system can be considered as the slave system.…”

Section: Introductionmentioning

confidence: 99%

Design of adaptive feedback control for new 3D chaotic system and its digital implementation on FPGA

Rameshbabu¹

2020

IJST

View full text Add to dashboard Cite

Background/Objectives : In this research work, digital circuit implementation on FPGA of an adaptive feedback control methodology for a new 3-D chaotic system is proposed Methods/Statistical analysis: The chaos synchronization is achieved using adaptive feedback control method. The new adaptive controllers are designed to achieve the chaos synchronization for the identical new chaotic system. The FPGA implementation of chaos synchronization using numerical methods induces artificial suppression in the chaotic system or chaotic behavior can be dead in very short-time. In this research work, the FPGA implementation of chaos synchronization is achieved with the help of automatic code generator like System generator in Matlab simulink. The adaptive feedback control for identical new chaotic system is coded with VHDL with 32 bit fixed point number, 12 for the entire and 20 for the fraction. Findings: In this paper, we designed a new 3D chaotic system and its chaotic behavior is verified using Lyapunov exponents, stability analysis and Poincare map. The complete synchronization for proposed chaotic system is achieved using adaptive feedback control methodology. The digital circuit realization of adaptive feedback control for the synchronization of identical chaotic system based on FPGA is achieved for the various applications of digital information systems. Simulation results and FPGA outputs illustrate the effectiveness of our proposed method. Novelty/Applications: The digital implementation of adaptive feedback control has many engineering applications such as digital data transmission, digital modulation, video encryption, digital cryptosystem etc.

show abstract

Anti-Synchronization of a Class of Chaotic Systems with Application to Lorenz System: A Unified Analysis of the Integer Order and Fractional Order

Cited by 10 publications

References 43 publications

Interlayer antisynchronization in degree-biased duplex networks

Interlayer antisynchronization in degree-biased duplex networks

Synchronization Analysis for Stochastic Inertial Memristor-Based Neural Networks with Linear Coupling

Design of adaptive feedback control for new 3D chaotic system and its digital implementation on FPGA

Contact Info

Product

Resources

About