Hamiltonian perturbation theory (and transition to chaos)

DOI10.1007/978-1-0716-2621-4_267zbMATH Open1548.37005MaRDI QIDQ6599383

Henk W. Broer, Heinz Hanßmann

Publication date: 6 September 2024

zbMATH Keywords

resonancesHamiltonian perturbationsseparatrices

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) General perturbation schemes for nonlinear problems in mechanics (70K60) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonlinear resonances for nonlinear problems in mechanics (70K30) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Averaging of perturbations for nonlinear problems in mechanics (70K65) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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