Chaos synchronization of identical Sprott systems by active control

In a recent paper [Chaos, Solitons Fractals21, 915 (2004)], both real and complex Van der Pol oscillators were introduced and shown to exhibit chaotic limit cycles. In the present work these oscillators are synchronized by applying an active control technique. Based on Lyapunov function, the control input vectors are chosen and activated to achieve synchronization. The feasibility and effectiveness of the proposed technique are verified through numerical simulations.

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Chaos Synchronization of the Modified Autonomous Van der Pol-Duffing Circuits via Active Control

Understanding Complex Systems - Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 ◽

10.1007/978-3-642-34017-8_7 ◽

2013 ◽

pp. 185-202 ◽

Cited By ~ 7

Author(s):

Ahmed Sadek Hegazi ◽

Ahmed Ezzat Matouk

Keyword(s):

Active Control ◽

Chaos Synchronization ◽

Van Der Pol

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Noncommutative Sprott systems, their jerk dynamics, and their chaos synchronization by active control

Journal of Physics Conference Series ◽

10.1088/1742-6596/1194/1/012024 ◽

2019 ◽

Vol 1194 ◽

pp. 012024

Author(s):

Marcin Daszkiewicz

Keyword(s):

Active Control ◽

Chaos Synchronization ◽

Jerk Dynamics

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Chaos synchronization in RCL-shunted Josephson junction via active control

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2005.09.035 ◽

2007 ◽

Vol 31 (1) ◽

pp. 105-111 ◽

Cited By ~ 52

Author(s):

Ahmet Uçar ◽

Karl E. Lonngren ◽

Er-Wei Bai

Keyword(s):

Josephson Junction ◽

Active Control ◽

Chaos Synchronization

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A TYPE OF SINGLE SCROLL ATTRACTOR CHAOS SYNCHRONIZATION

International Journal of Modern Physics B ◽

10.1142/s0217979210055500 ◽

2010 ◽

Vol 24 (27) ◽

pp. 5269-5283

Author(s):

TIANSHU WANG ◽

XINGYUAN WANG

Keyword(s):

Numerical Simulations ◽

Active Control ◽

Chaos Synchronization ◽

Chaotic Systems ◽

Control Function ◽

Function Parameter ◽

Nonlinear Feedback ◽

Global Synchronization ◽

Linear And Nonlinear ◽

Different Chaotic Systems

This paper studies a type of single scroll attractor chaos system. Based on the research of Jiang et al. the global synchronization method is designed, and moreover, the author uses a combined synchronization of linear and nonlinear feedback, active control, single vector and unidirectional coupling synchronization three methods else, the problem of synchronization between same and different chaotic systems are realized by the four methods, respectively. The range of control function parameter is discussed according to the Routh–Hurwitz criterion and numerical simulations show the effectiveness of them.

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