POLYNOMIAL MAP FACTORIZATION OF SYMPLECTIC MAPS

DOI10.1142/S0129183103004991zbMath1079.65553OpenAlexW2032594801MaRDI QIDQ5699335

Govindan Rangarajan

Publication date: 26 October 2005

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129183103004991

zbMATH Keywords

algorithmssymplectic integrationnonlinear Hamiltonian systemspolynomial mapsLie perturbation theory

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

• Unnamed Item
• Fourth-order symplectic integration
• Canonical Runge-Kutta methods
• Symplectic integration of Hamiltonian systems
• Lie series and invariant functions for analytic symplectic maps
• Jolt factorization of pendulum map
• Symplectic integration using solvable maps
• Symplectic completion of symplectic jets
• Symplectic integration of Hamiltonian systems using polynomial maps

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