Computation of nonlinear behavior of Hamiltonian systems using Lie algebraic methods

DOI10.1063/1.525671zbMath0543.70028OpenAlexW2078766555MaRDI QIDQ3332320

Etienne Forest, A. J. Dragt

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525671

zbMATH Keywords

Lie algebraic methodsnonlinear effectsaccelerators, changed particle beam and light opticsbehaviour of trajectories near a given trajectory

Mathematics Subject Classification ID

Hamilton's equations (70H05) Axiomatic quantum field theory; operator algebras (81T05) Nonlinear dynamics in mechanics (70Kxx)

Related Items

A note on the Baker-Campbell-Hausdorff series in terms of right-nested commutators ⋮ A Hamiltonian-free description of single particle dynamics for hopelessly complex periodic systems ⋮ Computation of error effects in nonlinear Hamiltonian systems using Lie algebraic methods ⋮ Sixth-order Lie group integrators ⋮ Moment invariants for nonlinear Hamiltonian systems ⋮ A Hamiltonian perturbation theory for the nonlinear Vlasov equation ⋮ Lie algebraic factorization of multivariable evolution operators: Definition and the solution of the canonical problem ⋮ Fourth-order symplectic integration ⋮ Group theoretical perturbative treatment of nonlinear Hamiltonians on the dual of a Lie algebra

Cites Work

• Note on the Algebraic Aspect of the Integration of a System of Ordinary Linear Differential Equations
• Lie series and invariant functions for analytic symplectic maps