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ON HOMOCLINIC AND HETEROCLINIC ORBITS OF CHEN'S SYSTEM
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2006We 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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