DIFFERENTIABILITY OF INVARIANTS AND LIAPUNOV EQUATIONS IN HAMILTONIAN-SYSTEMS

Authors
SITARAM BR
Citation
Br. Sitaram, DIFFERENTIABILITY OF INVARIANTS AND LIAPUNOV EQUATIONS IN HAMILTONIAN-SYSTEMS, Pramana, 49(2), 1997, pp. 193-197
Citations number
4
Categorie Soggetti
Physics
Journal title
Pramana → ACNP
ISSN journal
03044289
Volume
49
Issue
2
Year of publication
1997
Pages
193 - 197
Database
ISI
SICI code
0304-4289(1997)49:2<193:DOIALE>2.0.ZU;2-M
Abstract
In this communication, we investigate the behavior of the derivatives of invariants for Hamiltonian systems, using information derived from an analysis of the Liapunov exponents of the system. We show that unde r certain conditions on the analyticity properties of the solutions of the equations of motion, it is possible to construct 2n invariants of motion which are guaranteed to be C-infinity as functions of phase sp ace and time in a suitably defined domain D.