Tiecheng Li, Guoting Chen, Guanrong Chen
Abstract
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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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.
Key concepts: Homoclinic orbit, Heteroclinic orbit, Heteroclinic cycle, Heteroclinic bifurcation, Orbit (dynamics), Mathematics, Homoclinic bifurcation, Chen