NONLINEAR RESONANCE AND CHAOS IN THE RELATIVISTIC PHASE-SPACE FOR DRIVEN NONLINEAR-SYSTEMS - COMMENT

Authors
LUCHINSKY DG MCCLINTOCK PVE SOSKIN SM STEIN ND NEIMAN AB
Citation
Dg. Luchinsky et al., NONLINEAR RESONANCE AND CHAOS IN THE RELATIVISTIC PHASE-SPACE FOR DRIVEN NONLINEAR-SYSTEMS - COMMENT, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(4), 1996, pp. 4240-4241
Citations number
8
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
4
Year of publication
1996
Part
B
Pages
4240 - 4241
Database
ISI
SICI code
1063-651X(1996)53:4<4240:NRACIT>2.0.ZU;2-A
Abstract
Rim and Lee [Phys. Rev. E 52, 473 (1995)] report relativity-induced re sonances in periodically driven oscillators. We comment that zero-disp ersion nonlinear resonance (ZDNR) will occur in some of the systems co nsidered, outline the physical origins of the ZDNR, and propose an exp lanation of a discrepancy noted by Rim and Lee between their theoretic al and numerical values of the energy at the stationary stable points of Poincare sections.