LIE SYMMETRIES AND INFINITE-DIMENSIONAL LIE-ALGEBRAS OF CERTAIN NONLINEAR DISSIPATIVE SYSTEMS

Authors
VELAN MS LAKSHMANAN M
Citation
Ms. Velan et M. Lakshmanan, LIE SYMMETRIES AND INFINITE-DIMENSIONAL LIE-ALGEBRAS OF CERTAIN NONLINEAR DISSIPATIVE SYSTEMS, Journal of physics. A, mathematical and general, 28(7), 1995, pp. 1929-1942
Citations number
18
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
7
Year of publication
1995
Pages
1929 - 1942
Database
ISI
SICI code
0305-4470(1995)28:7<1929:LSAILO>2.0.ZU;2-M
Abstract
We point out that the dissipative force-free Duffing oscillator and Ho lmes-Rand nonlinear oscillator admit infinite dimensional symmetry alg ebras for certain parametric choices for which the systems become inte grable. From the nature of the symmetry vector fields one can also wri te down the integrals of motion for the above systems. In addition we point out that the other dissipative systems discussed in the literatu re also admit infinite dimensional Lie algebras.