A Universal Procedure for Normalizingn-Degree-of-Freedom Polynomial Hamiltonian Systems
DOI10.1137/S0036139903434390zbMath1074.37030MaRDI QIDQ5317442
Patricia Yanguas, Susana Gutiérrez-Romero, Jesús F. Palacián
Publication date: 16 September 2005
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
invariantsmonodromyHopf bifurcationnormalizationformal integralspolynomial Hamiltoniansgeneralized normal formsreduction and simplification
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Normal forms on manifolds (58K50) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Monodromy on manifolds (58K10) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)
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