期刊
OPTIK
卷 145, 期 -, 页码 209-217出版社
ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2017.07.042
关键词
Curve of equilibria; Many equilibria; New chaotic system; Hidden attractors; Coexistence of asymmetric attractors
类别
This paper reports a new 4-D dissipative chaotic system. When compared with the available 4-D chaoticihyperchaotic systems, the unique properties of the proposed system are (i) the system exhibits coexistence of different kind of asymmetric hidden attractors, (ii) the system has a curve of equilibria and (ii) the system is simple. This system does not satisfy Shilnikov criterion for the existence of chaos. The system has a total of eight terms including only one nonlinear term. The coexistence of rich chaotic dynamics in the system is investigated through Lyapunov spectrum, bifurcation diagram, Poincare map, frequency spectrum and attractors plot. The coexistence of the asymmetric hidden dynamics is shown using chaotic attractors, 3-torus and 2-torus plots. The system is developed from the type-IV 3-D Rossler chaotic system. (C) 2017 Elsevier GmbH. All rights reserved.
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