Existence of heteroclinic orbits in a novel three-order dynamical system

doi:10.1088/1674-1056/22/11/110502

Abstract In this paper, we design a novel three-order autonomous system. Numerical simulations reveal the complex chaotic behaviors of the system. By applying the undetermined coefficient method, we find a heteroclinic orbit in the system. As a result, the Ši’lnikov criterion along with some other given conditions guarantees that the system has both Smale horseshoes and chaos of horseshoe type.

Keywords: novel chaotic system heteroclinic orbit Ši’lnikov criterion undetermined coefficient method

Received: 06 February 2013
Revised: 16 April 2013
Accepted manuscript online:

PACS:	05.45.Jn	(High-dimensional chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61170037 and 61074192).

Corresponding Authors: Min Le-Quan
E-mail: 0605m@sina.com

Cite this article:

Hu Yu (胡瑀), Min Le-Quan (闵乐泉), Zhen Ping (甄平) Existence of heteroclinic orbits in a novel three-order dynamical system 2013 Chin. Phys. B 22 110502

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Existence of heteroclinic orbits in a novel three-order dynamical system

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