Bistability in a hyperchaotic system with a line equilibrium

被引:0
|
作者
Chunbiao Li
J. C. Sprott
Wesley Thio
机构
[1] Southeast University,School of Information Science and Engineering
[2] University of Wisconsin-Madison,Department of Physics
[3] The Ohio State University,Department of Electrical and Computer Engineering
[4] Jiangsu Institute of Commerce,Engineering Technology Research and Development Center of Jiangsu Circulation Modernization Sensor Network
来源
Journal of Experimental and Theoretical Physics | 2014年 / 118卷
关键词
Equilibrium Point; Lyapunov Exponent; Strange Attractor; Line Equilibrium; Symmetric Pair;
D O I
暂无
中图分类号
学科分类号
摘要
A hyperchaotic system with an infinite line of equilibrium points is described. A criterion is proposed for quantifying the hyperchaos, and the position in the three-dimensional parameter space where the hyperchaos is largest is determined. In the vicinity of this point, different dynamics are observed including periodicity, quasi-periodicity, chaos, and hyperchaos. Under some conditions, the system has a unique bistable behavior, characterized by a symmetric pair of coexisting limit cycles that undergo period doubling, forming a symmetric pair of strange attractors that merge into a single symmetric chaotic attractor that then becomes hyperchaotic. The system was implemented as an electronic circuit whose behavior confirms the numerical predictions.
引用
收藏
页码:494 / 500
页数:6
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