Poincaré sections of Hamiltonian systems

DOI10.1016/0010-4655(96)00032-XzbMath0921.65049arXivgr-qc/9512042MaRDI QIDQ1282945

H. P. de Oliveira, E. S. Cheb-Terrab

Publication date: 29 September 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9512042

zbMATH Keywords

dynamical systemsnumerical experimentsHamiltonian systemsRunge-Kutta methodsymbolic computingsurface-of-section method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical systems and ergodic theory (37-XX)

Related Items (2)

Hamiltonian dynamical systems: symbolical, numerical and graphical study ⋮ Chaotic photon orbits and shadows of a non-Kerr object described by the Hartle–Thorne spacetime

Cites Work

• A computational approach for the analytical solving of partial differential equations
• Regular and stochastic motion
• The Toda lattice. II. Existence of integrals

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