COMPOSITE INTEGRATORS FOR BI-HAMILTONIAN SYSTEMS

Authors
Citation
B. Karasozen, COMPOSITE INTEGRATORS FOR BI-HAMILTONIAN SYSTEMS, Computers & mathematics with applications, 32(7), 1996, pp. 79-86
Citations number
14
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
ISSN journal
08981221
Volume
32
Issue
7
Year of publication
1996
Pages
79 - 86
Database
ISI
SICI code
0898-1221(1996)32:7<79:CIFBS>2.0.ZU;2-Q
Abstract
Symmetric composition methods are applied to dynamical systems in bi-H amiltonian form; to Lotka-Volterra equations, to the completely integr able Lorenz equation and to the periodic Toda lattice. The numerical r esults obtained show that the Hamiltonians are preserved with high acc uracy and the periodicity of the solutions are retained.