On the influence of numerical preservation of invariants when simulating Hamiltonian relative periodic orbits
[摘要] We study the structure of the error when simulating relative periodic solutions of Hamiltonian systems with symmetries. We identify the mechanisms for which the preservation, in the numerical integration, of the Hamiltonian and the invariants associated to the symmetry group, implies a better time behavior of the error. A second consequence is a more correct simulation of the parameters that characterize the relative periodic orbit. (C) 2011 Elsevier B.V. All rights reserved.
[发布日期] 2012-06-01 [发布机构]
[效力级别] Proceedings Paper [学科分类]
[关键词] Hamiltonian relative periodic orbits;Symmetry groups;Geometric numerical integration;Invariant preserving numerical methods [时效性]
