\(SB^{3}A\) splitting for approximation of invariants in time-dependent Hamiltonian systems

DOI10.1016/j.amc.2010.08.014zbMath1202.65165OpenAlexW2083406851MaRDI QIDQ606856

Carmela Marangi, Stefania Ragni, Fasma Diele

Publication date: 18 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.014

zbMATH Keywords

invariantsnumerical examplestime-dependent Hamiltonian systemssplitting and composition methods

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)

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Exponential Lawson integration for nearly Hamiltonian systems arising in optimal control ⋮ Optimal Control of Invasive Species with Budget Constraint: Qualitative Analysis and Numerical Approximation

Cites Work

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• Splitting and composition methods for explicit time dependence in separable dynamical systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Coexisting chaotic attractors, their basin of attractions and synchronization of chaos in two coupled Duffing oscillators
• Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods
• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
• Splitting methods for non-autonomous separable dynamical systems

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