ON HOMOCLINIC AND HETEROCLINIC ORBITS OF CHEN'S SYSTEM

Tiecheng Li; Guoting Chen; Guanrong Chen

doi:10.1142/s021812740601663x

ON HOMOCLINIC AND HETEROCLINIC ORBITS OF CHEN'S SYSTEM

International Journal of Bifurcation and Chaos 16(10): 3035-3041

Article 2006 English

Abstract

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We study the problem of existence of homoclinic and heteroclinic orbits of Chen's system. For the case of 2c > a > c > 0 and b ≥ 2a, we prove that the system has no homoclinic orbit but has two and only two heteroclinic orbits.

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