PROOF OF LYAPUNOV EXPONENT PAIRING FOR SYSTEMS AT CONSTANT KINETIC-ENERGY

Authors
DETTMANN CP MORRISS GP
Citation
Cp. Dettmann et Gp. Morriss, PROOF OF LYAPUNOV EXPONENT PAIRING FOR SYSTEMS AT CONSTANT KINETIC-ENERGY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(6), 1996, pp. 5545-5548
Citations number
16
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
53
Issue
6
Year of publication
1996
Part
A
Pages
5545 - 5548
Database
ISI
SICI code
1063-651X(1996)53:6<5545:POLEPF>2.0.ZU;2-I
Abstract
We present a proof that a system consisting of any finite number of pa rticles that move under the action of a scalar potential at constant k inetic energy exhibits conjugate pairing of Lyapunov exponents; that i s, the Lyapunov exponents come in pairs, which sum to the same constan t. This result generalizes previous results, because it is independent of the size of the system.