Breakdown mechanisms of normally hyperbolic invariant manifolds in terms of unstable periodic orbits and homoclinic/heteroclinic orbits in Hamiltonian systems

DOI10.1088/0951-7715/28/8/2677zbMath1352.37079OpenAlexW2286243605MaRDI QIDQ3196536

Tamiki Komatsuzaki, Hiroshi Teramoto, Mikito Toda

Publication date: 29 October 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/28/8/2677

zbMATH Keywords

Hamiltonian systemhomoclinic orbitsunstable periodic orbitsnormally hyperbolic invariant manifold

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10)

Related Items (3)

Transition state theory with quasi-periodic forcing ⋮ Persistence of normally hyperbolic invariant manifolds in the absence of rate conditions ⋮ Dynamics and bifurcations on the normally hyperbolic invariant manifold of a periodically driven system with rank-1 saddle

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