Homoclinic bifurcation of orbit flip with resonant principal eigenvalues

DOI10.1007/s10114-005-0581-xzbMath1106.37013OpenAlexW2072009444MaRDI QIDQ2508609

Tian-Si Zhang, De-Ming Zhu

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0581-x

zbMATH Keywords

homoclinic bifurcations4D systemresonant principal eigenvalues

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)

Related Items (5)

Bifurcations of double homoclinic flip orbits with resonant eigenvalues ⋮ Bifurcation analysis of the multiple flips homoclinic orbit ⋮ Resonant homoclinic flips bifurcation in principal eigendirections ⋮ Codimension-4 resonant homoclinic bifurcations with orbit flips and inclination flips ⋮ NONRESONANT BIFURCATIONS OF HETEROCLINIC LOOPS WITH ONE INCLINATION FLIP

Cites Work

• Bifurcations of rough heteroclinic loop with two saddle points
• Saddle values and integrability conditions of quadratic differential systems
• Bifurcations of heteroclinic loops
• Homoclinic bifurcation with codimension 3
• Constructing dynamical systems having homoclinic bifurcation points of codimension two
• Degenerated homoclinic bifurcations with higher dimensions
• Bifurcations of nontwisted heteroclinic loop.
• Bifurcations of rough heteroclinic loops with three saddle points
• Numerical unfoldings of codimension-three resonant homoclinic flip bifurcations
• Problems in homoclinic bifurcation with higher dimensions
• Resonant homoclinic flip bifurcations

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