中国物理B ›› 2014, Vol. 23 ›› Issue (5): 50505-050505.doi: 10.1088/1674-1056/23/5/050505

• GENERAL • 上一篇    下一篇

Generation of a novel spherical chaotic attractor from a new three-dimensional system

孙常春, 赵恩良, 徐启程   

  1. School of Science, Shenyang Jianzhu University, Shenyang 110168, China
  • 收稿日期:2013-09-06 修回日期:2013-11-05 出版日期:2014-05-15 发布日期:2014-05-15
  • 基金资助:
    Project supported by the Science Research Foundation of Liaoning Provincial Education Department, China (Grant No. L2013229).

Generation of a novel spherical chaotic attractor from a new three-dimensional system

Sun Chang-Chun (孙常春), Zhao En-Liang (赵恩良), Xu Qi-Cheng (徐启程)   

  1. School of Science, Shenyang Jianzhu University, Shenyang 110168, China
  • Received:2013-09-06 Revised:2013-11-05 Online:2014-05-15 Published:2014-05-15
  • Contact: Sun Chang-Chun E-mail:changchunsun@sina.com
  • About author:05.45.Gg; 05.45.-a; 05.45.Pq
  • Supported by:
    Project supported by the Science Research Foundation of Liaoning Provincial Education Department, China (Grant No. L2013229).

摘要: A new three-dimensional (3D) system is constructed and a novel spherical chaotic attractor is generated from the system. Basic dynamical behaviors of the chaotic system are investigated respectively. Novel spherical chaotic attractors can be generated from the system within a wide range of parameter values. The shapes of spherical chaotic attractors can be impacted by the variation of parameters. Finally, a simpler 3D system and a more complex 3D system with the same capability of generating spherical chaotic attractors are put forward respectively.

关键词: three-dimensional system, spherical chaotic attractor, chaos generation

Abstract: A new three-dimensional (3D) system is constructed and a novel spherical chaotic attractor is generated from the system. Basic dynamical behaviors of the chaotic system are investigated respectively. Novel spherical chaotic attractors can be generated from the system within a wide range of parameter values. The shapes of spherical chaotic attractors can be impacted by the variation of parameters. Finally, a simpler 3D system and a more complex 3D system with the same capability of generating spherical chaotic attractors are put forward respectively.

Key words: three-dimensional system, spherical chaotic attractor, chaos generation

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.-a (Nonlinear dynamics and chaos) 05.45.Pq (Numerical simulations of chaotic systems)