Resonant Homoclinic Bifurcations with Orbit Flips and Inclination Flips
نویسنده
چکیده
Homoclinic bifurcation with one orbit flip, two inclination flips and resonance in the tangent directions of homoclinic orbit is considered. By studying the associated successor functions constructed from a local active coordinate system, we prove the existence of double 1-periodic orbit, 1-homoclinic orbit, and also some coexistence conditions of 1-periodic orbit and 1-homoclinic orbit.
منابع مشابه
Bifurcation Analysis of Homoclinic Flips at Principal Eigenvalues Resonance
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تاریخ انتشار 2013