Computation of error effects in nonlinear Hamiltonian systems using Lie algebraic methods

DOI10.1063/1.529670zbMath0760.58014OpenAlexW2069234007MaRDI QIDQ4027868

A. J. Dragt, Liam M. Healy, Ivan Gjaja

Publication date: 9 March 1993

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

Full work available at URL: http://hdl.handle.net/1903/2283

zbMATH Keywords

trajectorieserrorsalgorithmsseries expansionLie groupscharged particlesnonlinear Hamiltonian systemsclassical mechanicsbeam dynamicsbeam opticscharged-particle transportaccelerationsbeam focusing magnets

Mathematics Subject Classification ID

Hamilton's equations (70H05) Applications of global analysis to the sciences (58Z05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Motion of charged particles (78A35)

Related Items (1)

Decomposition of time-ordered products and path-ordered exponentials

Cites Work

• Computation of nonlinear behavior of Hamiltonian systems using Lie algebraic methods
• Lie series and invariant functions for analytic symplectic maps

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