Combined projective synchronization for a class of time-delayed hyperchaotic systems via active control

Feng, Chun; Yang, Huali; Zhou, Chenglong

doi:10.1088/1402-4896/ab1af0

Cited by 4 publications

(2 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Integrating of combine synchronization and projection synchronization can realize more complex synchronization and meet higher synchronization requirements. At present, the combination projection synchronization is mostly applied in synchronization between chaotic systems [29][30][31][32][33], and there are few studies on fractional-order complex networks. The research on combination projective synchronization of fractional-order complex networks can describe network synchronization more broadly in practical engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Fang¹,

Wei²,

Yin³

et al. 2022

Commun. Theor. Phys.

View full text Add to dashboard Cite

In this paper, the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied. Firstly, the definition of combination projection synchronization of fractional-order complex dynamic networks is given, and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system. In addition, time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal. Then, based on Lyapunov stability theory and fractional inequality theory, the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors. The controller is easier to realize because there is no time-delay term in the controller. At last, the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.

show abstract

Section: Introductionmentioning

confidence: 99%

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Fang¹,

Wei²,

Yin³

et al. 2022

Commun. Theor. Phys.

View full text Add to dashboard Cite

show abstract

“…Basically, chaos synchronization is a process of coupled systems (identical or nonidentical) following the same trajectory asymptotically with the time by designing suitable controllers. Over the past few decades, chaos synchronization has attracted increasing attention in different fields of physics and engineering systems, especially in secure communications [1][2][3][4][5][6][7][8][9]. However, the most works mainly focused on continuous-time chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

Difference synchronization in nonidentical discrete-time chaotic systems with different dimensions using three scaling matrices

Feng¹,

Yang²,

Zhou³

2021

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

In this paper, we consider the difference synchronization for different chaotic maps with different dimensions using three scaling matrices. The proposed method allows us to study difference synchronization of two master discrete-time chaotic systems with dimension n and one response discrete-time chaotic system with dimension m . Based on the Lyapunov stability theory and stability property of linear discrete-time systems, controllers are derived to achieve the difference synchronization among three nonidentical discrete-time chaotic systems with different dimensions in two cases: n < m and n > m . For the case n < m , 2D Fold map and 2D Hénon map are used as the master systems, and the 3D Hitzl-Zele map is chosen as the slave system to simulate the difference synchronization. For the case n > m , 3D Stefanski map and 3D Baier-Klein map are adopted as the master systems, and 2D Lorenz discrete-time chaotic system is used as the slave system during the simulation. The numerical simulations illustrate the effectiveness and feasibility of the proposed method.

show abstract

Passivity based sliding mode control and synchronization of a perturbed uncertain unified chaotic system

Takhi

Kemih

Moysis

et al. 2021

Mathematics and Computers in Simulation

View full text Add to dashboard Cite

Combined projective synchronization for a class of time-delayed hyperchaotic systems via active control

Cited by 4 publications

References 38 publications

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Difference synchronization in nonidentical discrete-time chaotic systems with different dimensions using three scaling matrices

Passivity based sliding mode control and synchronization of a perturbed uncertain unified chaotic system

Contact Info

Product

Resources

About