Melnikov vector function for high-dimensional maps

DOI10.1016/0375-9601(96)00263-0zbMath0972.37503OpenAlexW2011599914MaRDI QIDQ1967886

Yanyan Li

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00263-0

Mathematics Subject Classification ID

Topological dynamics (37B99) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items

Non-integrability and continuation of fixed points on \(2n\)-dimensional perturbed twist maps ⋮ Homoclinic bifurcations in symmetric unfoldings of a singularity with three-fold zero eigenvalue

Cites Work

• An example of bifurcation to homoclinic orbits
• Local and global bifurcations with nonhyperbolic equilibria
• A Mel'nikov vector for \(N\)-dimensional mappings
• Diffeomorphisms with infinitely many sinks
• Computing the dependence on a parameter of a family of unstable manifolds: generalized Melnikov formulas
• Mel’nikov’s Function for Two-Dimensional Mappings
• Bifurcation and chaotic dynamics of homoclinic systems in ℝ3
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