Bifurcation and chaotic dynamics of homoclinic systems in ℝ3

DOI10.1007/BF02274055zbMath0827.34038MaRDI QIDQ4843114

Jian-Hua Sun

Publication date: 9 August 1995

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

zbMATH Keywords

bifurcationhomoclinic orbitperturbed systems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Melnikov vector function for high-dimensional maps ⋮ Three dimensional nilpotent singularity and Sil'nikov bifurcation

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Local and global bifurcations with nonhyperbolic equilibria
• Homoclinic Orbits in Slowly Varying Oscillators

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