An asymptotic method for constructing the Poincaré mapping in describing the transition of dynamical chaos in Hamiltonian systems.

zbMATH Open1033.65114MaRDI QIDQ1417745

D. Massart

Publication date: 6 January 2004

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceCauchy problemHamilton-Jacobi equationsparametric methodPoincaré mapping

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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