Complex transient dynamics of hidden attractors in a simple4D system

doi:10.1088/1674-1056/24/5/050503

Abstract

A simple four-dimensional system with only one control parameter is proposed in this paper. The novel system has a line or no equilibrium for the global control parameter and exhibits complex transient transition behaviors of hyperchaotic attractors, periodic orbits, and unstable sinks. Especially, for the nonzero-valued control parameter, there exists no equilibrium in the proposed system, leading to the formation of various hidden attractors with complex transient dynamics. The research results indicate that the dynamics of the system shows weak chaotic robustness and depends greatly on the initial states.

Keywords: transient dynamics hidden attractor equilibrium

Received: 10 October 2014
Revised: 21 December 2014
Accepted manuscript online:

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

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 51277017), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2012583), and the Fundamental Research Funds for the Central Universities of China (Grant No. NS2014038).

Corresponding Authors: Bao Bo-Cheng
E-mail: mervinbao@126.com

About author: 05.45.-a; 05.45.Ac; 05.45.Pq

Cite this article:

Dang Xiao-Yu (党小宇), Li Chun-Biao (李春彪), Bao Bo-Cheng (包伯成), Wu Hua-Gan (武花干) Complex transient dynamics of hidden attractors in a simple4D system 2015 Chin. Phys. B 24 050503

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Complex transient dynamics of hidden attractors in a simple4D system

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