Catastrophic bifurcation from riddled to fractal basins

Ying-Cheng Lai, Victor Andrade

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

The effect of symmetry breaking in riddling was systematically analyzed. In particular, symmetry breaking that destroys the essential dynamical element required for riddling was considered. The principal result is that, while riddling is robust against perturbations that preserve the symmetry and invariance of the system, it is structurally unstable under perturbations that destroy the symmetry.

Original languageEnglish (US)
Article number056228
Pages (from-to)056228/1-056228/16
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume64
Issue number5 II
DOIs
StatePublished - Nov 2001

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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