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
相关论文
共 50 条
  • [41] A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation
    Vaidyanathan, Sundarapandian
    Moroz, Irene M.
    Sambas, Aceng
    ARCHIVES OF CONTROL SCIENCES, 2020, 30 (03): : 575 - 597
  • [42] A Novel Four-Dimensional Hyperchaotic Four-Wing System With a Saddle-Focus Equilibrium
    Volos, Christos
    Maaita, Jamal-Odysseas
    Vaidyanathan, Sundarapandian
    Viet-Thanh Pham
    Stouboulos, Ioannis
    Kyprianidis, Ioannis
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2017, 64 (03) : 339 - 343
  • [43] Generating variable number of wings from a novel four-dimensional hyperchaotic system with one equilibrium
    Wan, Zhao
    Wang, Chunhua
    Luo, Xiaowen
    Lin, Yuan
    Huang, Tanlong
    OPTIK, 2014, 125 (03): : 1371 - 1376
  • [44] Synchronization of coupled hyperchaotic system
    Cai, Guo-Liang
    Huang, Juan-Juan
    Jiangsu Daxue Xuebao (Ziran Kexue Ban) / Journal of Jiangsu University (Natural Science Edition), 2007, 28 (03): : 269 - 272
  • [45] On the hyperchaotic complex Lu system
    Mahmoud, Gamal M.
    Mahmoud, Emad E.
    Ahmed, Mansour E.
    NONLINEAR DYNAMICS, 2009, 58 (04) : 725 - 738
  • [46] Control of a hyperchaotic discrete system
    Chen Li-qun
    Liu Zeng-rong
    Applied Mathematics and Mechanics, 2001, 22 (7) : 741 - 746
  • [47] Control of a Hyperchaotic Discrete System
    Li-qun Chen
    Zeng-rong Liu
    Applied Mathematics and Mechanics, 2001, 22 : 741 - 746
  • [48] Dynamics of a hyperchaotic Lorenz system
    Barboza, Ruy
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (12): : 4285 - 4294
  • [49] CONTROL OF A HYPERCHAOTIC DISCRETE SYSTEM
    陈立群
    刘曾荣
    Applied Mathematics and Mechanics(English Edition), 2001, (07) : 741 - 746
  • [50] Controlling a chaotic system to hyperchaotic
    Wang, Guangyi
    Liu, Xinzhi
    Zhang, Xun
    Li, Caifen
    Zheng, Yan
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 (06): : 705 - 714