Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems

Ding, Ke; Volos, Christos; Xu, Xing; Du, Bin

doi:10.1155/2018/6520474

Cited by 5 publications

(2 citation statements)

References 30 publications

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“…and α 3 � ac. Consequently, the criteria for E 0 to be stable are (12) otherwise, it is unstable. 18), as a mathematical equation,…”

Section: Stability Of Ementioning

confidence: 99%

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An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control

Abualnaja

2020

Complexity

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We are implementing a new Rabinovich hyperchaotic structure with complex variables in this research. This modern system is a real, autonomous hyperchaotic, and 8-dimensional continuous structure. Some of the characteristics of this system, as well as for invariance, dissipation, balance, and stability, are technically analyzed. Some other properties are also studied numerically, such as Lyapunov exponents, Lyapunov dimension, bifurcation diagrams, and chaotic actions. Hamiltonian energy is being studied and applying by using the innovative method. Via active control method, we inhibit our system’s hyperchaotic behavior. The new system’s hyperchaotic solutions are transformed into its unstable, trivial fixed point. The validity of the findings obtained is illustrated by an example of numerics and reenactment. Numerical results are plotted to display the variables of the state after and before the control to demonstrate that the control is being achieved.

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“…and α 3 � ac. Consequently, the criteria for E 0 to be stable are (12) otherwise, it is unstable. 18), as a mathematical equation,…”

Section: Stability Of Ementioning

confidence: 99%

“…e regulation of the hyperchaotic Rabinovich system was contemplated by [8] in 2017. Any global synchronization parameters for 4D hyperchaotic Rabinovich frameworks have been inferred from [12]:…”

Section: Introductionmentioning

confidence: 99%

An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control

Abualnaja

2020

Complexity

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Synchronization of Memristive Electronic Circuits

Tahir

Muneam

2019

Memristive Nonlinear Electronic Circuits

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Hidden hyperchaotic attractors in a new 4D fractional order system and its synchronization

Cao

2020

Chaos: An Interdisciplinary Journal of Nonlinear Science

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The research of finding hidden attractors in nonlinear dynamical systems has attracted much consideration because of its practical and theoretical importance. A new fractional order four-dimensional system, which can exhibit some hidden hyperchaotic attractors, is proposed in this paper. The predictor–corrector method of the Adams–Bashforth–Moulton algorithm and the parameter switching algorithm are used to numerically study this system. It is interesting that three different kinds of hidden hyperchaotic attractors with two positive Lyapunov exponents are found, and the fractional order system can have a line of equilibria, no equilibrium point, or only one stable equilibrium point. Moreover, a self-excited attractor is also recognized with the change of its parameters. Finally, the synchronization behavior is studied by using a linear feedback control method.

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Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems

Cited by 5 publications

References 30 publications

An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control

An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control

Synchronization of Memristive Electronic Circuits

Hidden hyperchaotic attractors in a new 4D fractional order system and its synchronization

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