Analytical invariant manifolds near unstable points and the structure of chaos

DOI10.1007/s10569-014-9546-7zbMath1298.70033arXiv1404.7679OpenAlexW2065981734MaRDI QIDQ468643

George Contopoulos, Christos Efthymiopoulos, Matthaios Katsanikas

Publication date: 7 November 2014

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7679

zbMATH Keywords

invariant manifoldshomoclinic chaosHamiltonian modelshyperbolic normal formsymplectic mappings

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Normal forms for nonlinear problems in mechanics (70K45)

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