Codimension 3 bifurcations of homoclinic orbits with flips and inclination flips

DOI10.1142/S0252959904000494zbMath1066.37012OpenAlexW2400537671MaRDI QIDQ1770010

Shuliang Shui, De-Ming Zhu

Publication date: 5 April 2005

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0252959904000494

zbMATH Keywords

bifurcationperiodic orbithomoclinic orbitinclination fliporbit flip

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (3)

Codimension 3 non-resonant bifurcations of rough heteroclinic loops with one orbit flip ⋮ Bifurcations of double homoclinic flip orbits with resonant eigenvalues ⋮ NONRESONANT BIFURCATIONS OF HETEROCLINIC LOOPS WITH ONE INCLINATION FLIP

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