期刊文献+

Local bifurcation analysis of a four-dimensional hyperchaotic system 被引量:11

Local bifurcation analysis of a four-dimensional hyperchaotic system
原文传递
导出
摘要 Local bifurcation phenomena in a four-dlmensional continuous hyperchaotic system, which has rich and complex dynamical behaviours, are analysed. The local bifurcations of the system are investigated by utilizing the bifurcation theory and the centre manifold theorem, and thus the conditions of the existence of pitchfork bifurcation and Hopf bifurcation are derived in detail. Numerical simulations are presented to verify the theoretical analysis, and they show some interesting dynamics, including stable periodic orbits emerging from the new fixed points generated by pitchfork bifurcation, coexistence of a stable limit cycle and a chaotic attractor, as well as chaos within quite a wide parameter region. Local bifurcation phenomena in a four-dlmensional continuous hyperchaotic system, which has rich and complex dynamical behaviours, are analysed. The local bifurcations of the system are investigated by utilizing the bifurcation theory and the centre manifold theorem, and thus the conditions of the existence of pitchfork bifurcation and Hopf bifurcation are derived in detail. Numerical simulations are presented to verify the theoretical analysis, and they show some interesting dynamics, including stable periodic orbits emerging from the new fixed points generated by pitchfork bifurcation, coexistence of a stable limit cycle and a chaotic attractor, as well as chaos within quite a wide parameter region.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第7期2420-2432,共13页 中国物理B(英文版)
基金 supported by the National Natural Science Foundation of China (Grant Nos 60774088,10772135 and 60574036) the Research Foundation from the Ministry of Education of China (Grant Nos 107024 and 207005) the Program for New Century Excellent Talents in University of China (NCET) the Application Base and Frontier Technology Project of Tianjin,China(Grant No 08JCZDJC21900)
关键词 HYPERCHAOS pitchfork bifurcation Hopf bifurcation centre manifold theorem hyperchaos, pitchfork bifurcation, Hopf bifurcation, centre manifold theorem
  • 相关文献

参考文献30

  • 1Lorenz E N 1963 J. Atmos. Sci. 20 130.
  • 2Chua L, Komuro M and Matsumoto T 1986 IEEE Trans. Circuit Syst. I 33 1072.
  • 3Chen G R and Ueta T 1999 Int. J. Bifur. Chaos 9 1465.
  • 4Lu J H and Chen G R 2002 Int. J. Bifur. Chaos 12 659.
  • 5Lu J H, Chen G R, Cheng D Z and Celikovsky S 2002 Int. J. Bifur. Chaos. 12 2917.
  • 6Qi G Y, Chen G R, Du S Z, Chen Z Q and Yuan Z Z 2005 Physica A 352 295.
  • 7Qi G Y and Chen G R 2006 Phys. Lett. A 352 386.
  • 8Qi G Y, Du S Z, Chen G R, Chen Z Q and Yuan Z Z 2005 Chaos, Solitons and Fractals 23 1671.
  • 9Wang F Z, Qi G Y, Chen Z Q and Yuan Z Z 2007 Acta Phys. Sin. 56 3137 (in Chinese).
  • 10Wang F Z, Qi G Y, Chen Z Q, Zhang Y H and Yuan Z Z 2006 Acta Phys. Sin. 55 4005 (in Chinese).

同被引文献45

引证文献11

二级引证文献81

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部