Normal forms and stability of Hamiltonian systems

DOI10.1007/978-3-031-33046-9OpenAlexW4385756637MaRDI QIDQ6137480

Hildeberto Cabral, Lúcia Brandão Dias

Publication date: 4 September 2023

Published in: Applied Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-33046-9

zbMATH Keywords

Hamiltonian dynamicsstability problems

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Stability for nonlinear problems in mechanics (70K20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Canonical transformations in symplectic and contact geometry (53D22) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Symplectic and canonical mappings (37J11) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items (3)

Title not available (Why is that?) ⋮ Normal form for families of Hamiltonian systems ⋮ Normal forms, stability and splitting of invariant manifolds. II: Finitely differentiable Hamiltonians

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