Poincaré sections of Hamiltonian systems
Copyright policy )Poincaré sections of Hamiltonian systems
A set of Maplev R.3 software routines, for plotting 2D/3D projections of Poincar�� surfaces-of-section of Hamiltonian dynamical systems, is presented. The package consists of a plotting-command plus a set of facility-commands for a quick setup of the Hamilton equations of motion, initial conditions for numerical experiments, and for the zooming of plots.
15 pages, LaTeX, 21 figures, submitted to Computer Physics Communications. Soft-package (On-Line Help) and sample MapleV session available at: ftp://dft.if.uerj.br/poincare or http://dft.if.uerj.br/symbcomp.htm
surface-of-section method, Astrophysics (astro-ph), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), dynamical systems, Symbolic computation and algebraic computation, Astrophysics, Numerical methods for initial value problems involving ordinary differential equations, General Relativity and Quantum Cosmology, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Dynamical systems and ergodic theory, symbolic computing, Runge-Kutta method, Hamiltonian systems, numerical experiments
surface-of-section method, Astrophysics (astro-ph), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), dynamical systems, Symbolic computation and algebraic computation, Astrophysics, Numerical methods for initial value problems involving ordinary differential equations, General Relativity and Quantum Cosmology, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Dynamical systems and ergodic theory, symbolic computing, Runge-Kutta method, Hamiltonian systems, numerical experiments
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