Splitting of separatrices for the Hamiltonian-Hopf bifurcation with the Swift–Hohenberg equation as an example

DOI10.1088/0951-7715/24/3/002zbMath1380.37134arXiv1004.2054OpenAlexW2109790133MaRDI QIDQ3083537

José Pedro Gaivão, Vassili Gelfreich

Publication date: 22 March 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2054

zbMATH Keywords

homoclinic orbitsasymptotic expansion for homoclinic invariant

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

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