Bifurcations of fine 3-point-loop in higher dimensional space

DOI10.1007/s10114-004-0400-9zbMath1124.37012OpenAlexW2081783524MaRDI QIDQ2577862

Yin Lai Jin, De-Ming Zhu

Publication date: 9 January 2006

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

Full work available at URL: https://doi.org/10.1007/s10114-004-0400-9

zbMATH Keywords

Poincaré map1-periodic orbitbifurcation surface1-homoclinic orbitLocal coordinates

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 (2)

Homoclinic and periodic orbits arising near the heteroclinic cycle connecting saddle-focus and saddle under reversible condition ⋮ BIFURCATIONS OF 2-2-1 HETERODIMENSIONAL CYCLES UNDER TRANSVERSALITY CONDITION

Cites Work

• Bifurcations of rough heteroclinic loop with two saddle points
• Global bifurcations and chaos. Analytical methods
• Bifurcations of heteroclinic loops
• Homoclinic bifurcation with codimension 3
• Local and global bifurcations with nonhyperbolic equilibria
• Degenerate and non-trivial hyperbolic polycycles with two vertices
• Degenerated homoclinic bifurcations with higher dimensions
• Bifurcations of nontwisted heteroclinic loop.
• Bifurcations of rough heteroclinic loops with three saddle points
• Problems in homoclinic bifurcation with higher dimensions
• Bifurcation Theory and Methods of Dynamical Systems
• Exponential trichotomy and heteroclinic bifurcations
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