Area-preserving Poincar� mappings of the unit disk

DOI10.1007/BF01234565zbMath0672.70027OpenAlexW3129141241MaRDI QIDQ3826152

Wolfram Neutsch, Josef Kallrath

Publication date: 1988

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234565

zbMATH Keywords

phase spacedissipative systemsHénon-Heiles systemLiouville's theoremPoincaré mappinglong-time behaviour of dynamical systems

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

• A two-dimensional mapping with a strange attractor
• On the concept of attractor
• The analytic invariants of an area-preserving mapping near a hyperbolic fixed point

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