Classification of Collisions of Chaotic Attractors with Unstable Periodic Orbits in Terms of the q-Phase Transitions

1 January 1989

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics

Vol. 81 (1) , 1-6
https://doi.org/10.1143/ptp.81.1

Abstract

Collisions of chaotic attractors with unstable periodic orbits are classified into three types in terms of the q-phase transition just before the collisions; (1) the type with transition point q_β ≪ 1/2, (2) the type which causes no q-phase transition, (3) the type with transition point 2 > q_β > 1.

Keywords

PHASE TRANSITION
CHAOTIC ATTRACTORS
UNSTABLE PERIODIC
COLLISIONS OF CHAOTIC
TYPE WITH TRANSITION
ATTRACTORS WITH UNSTABLE
CLASSIFICATION
PERIODIC ORBITS

This publication has 1 reference indexed in Scilit:

Scaling laws for invariant measures on hyperbolic and nonhyperbolic atractors
Journal of Statistical Physics, 1988