Symmetry and Resonance in Hamiltonian Systems

DOI10.1137/S0036139900365323zbMath1004.70015OpenAlexW1990477359MaRDI QIDQ2706084

J. M. Tuwankotta, Ferdinand Verhulst

Publication date: 19 March 2001

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139900365323

zbMATH Keywords

small parameterequilibriumnormal forms2:1 resonance4:1 resonancephase spaceasymptotic analysishomogeneous polynomialsHamiltonian flowelastic pendulumdiscrete symmetryHénon-Heiles family of Hamiltonianshierarchy of resonancestwo-degree-of-freedom Hamiltonian

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonlinear resonances for nonlinear problems in mechanics (70K30) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Normal forms for nonlinear problems in mechanics (70K45)

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