中国物理B ›› 2010, Vol. 19 ›› Issue (4): 40509-040509.doi: 10.1088/1674-1056/19/4/040509
陈增强1, 吴文娟1, 陈鹏飞2
收稿日期:
2009-07-14
修回日期:
2009-07-24
出版日期:
2010-04-15
发布日期:
2010-04-15
基金资助:
Chen Peng-Fei(陈鹏飞)a)b)†, Chen Zeng-Qiang(陈增强)a)‡, and Wu Wen-Juan(吴文娟)a)
Received:
2009-07-14
Revised:
2009-07-24
Online:
2010-04-15
Published:
2010-04-15
Supported by:
摘要: This paper presents the finding of a novel chaotic system with one source and two saddle-foci in a simple three-dimensional (3D) autonomous continuous time Hopfield neural network. In particular, the system with one source and two saddle-foci has a chaotic attractor and a periodic attractor with different initial points, which has rarely been reported in 3D autonomous systems. The complex dynamical behaviours of the system are further investigated by means of a Lyapunov exponent spectrum, phase portraits and bifurcation analysis. By virtue of a result of horseshoe theory in dynamical systems, this paper presents rigorous computer-assisted verifications for the existence of a horseshoe in the system for a certain parameter.
中图分类号: (Nonlinear dynamics and chaos)
陈鹏飞, 陈增强, 吴文娟. A novel chaotic system with one source and two saddle-foci in Hopfield neural networks[J]. 中国物理B, 2010, 19(4): 40509-040509.
Chen Peng-Fei(陈鹏飞), Chen Zeng-Qiang(陈增强), and Wu Wen-Juan(吴文娟). A novel chaotic system with one source and two saddle-foci in Hopfield neural networks[J]. Chin. Phys. B, 2010, 19(4): 40509-040509.
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