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Resonant Homoclinic Bifurcations with Orbit Flips and Inclination Flips
College of Science, University of Shanghai for Science and Technology, Shanghai, China
- 1 College of Science, University of Shanghai for Science and Technology, Shanghai, China
Applied Mathematics·Volume 04 (2013)·Pages 279–284·Published 22 February 2013·DOI10.4236/am.2013.42042
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Abstract
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.
KeywordsOrbit FlipInclination FlipResonance
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