Generation of countless embedded trumpet-shaped chaotic attractors in two opposite directions from a new three-dimensional system with no equilibrium point

doi:10.1088/1674-1056/23/9/090502

›› 2014, Vol. 23 ›› Issue (9): 90502-090502.doi: 10.1088/1674-1056/23/9/090502

Generation of countless embedded trumpet-shaped chaotic attractors in two opposite directions from a new three-dimensional system with no equilibrium point

孙常春

School of Science, Shenyang Jianzhu University, Shenyang 110168, China

收稿日期:2013-12-18 修回日期:2014-02-27 出版日期:2014-09-15 发布日期:2014-09-15
基金资助:
Project supported by the Science Research Foundation of Liaoning Provincial Education Department, China (Grant No. L2013229).

Generation of countless embedded trumpet-shaped chaotic attractors in two opposite directions from a new three-dimensional system with no equilibrium point

Sun Chang-Chun

School of Science, Shenyang Jianzhu University, Shenyang 110168, China

Received:2013-12-18 Revised:2014-02-27 Online:2014-09-15 Published:2014-09-15
Contact: Sun Chang-Chun E-mail:changchunsun@sina.com
Supported by:
Project supported by the Science Research Foundation of Liaoning Provincial Education Department, China (Grant No. L2013229).

摘要/Abstract

摘要： A new three-dimensional (3D) continuous autonomous system with one parameter and three quadratic terms is presented firstly in this paper. Countless embedded trumpet-shaped chaotic attractors in two opposite directions are generated from the system as time goes on. The basic dynamical behaviors of the strange chaotic system are investigated. Another more complex 3D system with the same capability of generating countless embedded trumpet-shaped chaotic attractors is also put forward.

关键词: three-dimensional system, trumpet-shaped chaotic attractor, equilibrium point

Abstract: A new three-dimensional (3D) continuous autonomous system with one parameter and three quadratic terms is presented firstly in this paper. Countless embedded trumpet-shaped chaotic attractors in two opposite directions are generated from the system as time goes on. The basic dynamical behaviors of the strange chaotic system are investigated. Another more complex 3D system with the same capability of generating countless embedded trumpet-shaped chaotic attractors is also put forward.

Key words: three-dimensional system, trumpet-shaped chaotic attractor, equilibrium point

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)

孙常春. Generation of countless embedded trumpet-shaped chaotic attractors in two opposite directions from a new three-dimensional system with no equilibrium point[J]. , 2014, 23(9): 90502-090502.

Sun Chang-Chun (孙常春). Generation of countless embedded trumpet-shaped chaotic attractors in two opposite directions from a new three-dimensional system with no equilibrium point[J]. Chin. Phys. B, 2014, 23(9): 90502-090502.

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Generation of countless embedded trumpet-shaped chaotic attractors in two opposite directions from a new three-dimensional system with no equilibrium point

Generation of countless embedded trumpet-shaped chaotic attractors in two opposite directions from a new three-dimensional system with no equilibrium point

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