Dynamical behaviors of a system with switches between the Rössler oscillator and Chua circuits

doi:10.1088/1674-1056/21/10/100501

Abstract The behaviors of a system that alternates between the Rössler oscillator and Chua's circuit is investigated to explore the influence of the switches on the dynamical evolution. Switches related to the state variables are introduced, upon which a typical switching dynamical model is established. Bifurcation sets of the subsystems are derived via analysis of the related equilibrium points, which divide the parameters into several regions corresponding to different types of attractors. The dynamics behave typically in period orbits with the variation of the parameters. The focus/cycle periodic switching phenomenon is explored in detail to present the mechanism of the movement. The period-doubling bifurcation to chaos can be observed via the doubling increase of the turning points related to the switches. Furthermore, period-decreasing sequences have been obtained, which can be explained by the variation of the eigenvalues associated with the equilibrium points of the subsystems.

Keywords: switching dynamical system bifurcation mechanism focus/cycle switching chaotic oscillation

Received: 21 March 2012
Revised: 18 April 2012
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 20976075).

Corresponding Authors: Bi Qin-Sheng
E-mail: qbi@ujs.edu.cn

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Zhang Chun (张春), Yu Yue (余跃), Han Xiu-Jing (韩修静), Bi Qin-Sheng (毕勤胜) Dynamical behaviors of a system with switches between the Rössler oscillator and Chua circuits 2012 Chin. Phys. B 21 100501

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Dynamical behaviors of a system with switches between the Rössler oscillator and Chua circuits

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