SMALL-ANGLE KREIN COLLISIONS IN A FAMILY OF 4-DIMENSIONAL REVERSIBLE MAPS

Authors
BHOWAL A ROY TK LAHIRI A
Citation
A. Bhowal et al., SMALL-ANGLE KREIN COLLISIONS IN A FAMILY OF 4-DIMENSIONAL REVERSIBLE MAPS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(6), 1993, pp. 3932-3940
Citations number
12
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
47
Issue
6
Year of publication
1993
Pages
3932 - 3940
Database
ISI
SICI code
1063-651X(1993)47:6<3932:SKCIAF>2.0.ZU;2-2
Abstract
The small-angle Krein collision (SAKC) in four-dimensional reversible maps refers to the codimension-2 bifurcation, where the eigenvalues of the Jacobian of the map at a symmetric fixed point collide close to 1 as some relevant parameters are varied. SAKC is always associated wi th the bifurcation of nearby fixed points. We investigate the existenc e and stability of invariant curves around these fixed points for a pa rticular family of reversible maps, and find a rich structure of the p hase space.