Crisis-induced unstable dimension variability in a dynamical system

Geraldo T. Kubo, Ricardo L. Viana, Sergio R. Lopes, Celso Grebogi

Research output: Contribution to journalArticle

12 Citations (Scopus)


Unstable dimension variability is an extreme form of non-hyperbolic behavior in chaotic systems whose attractors have periodic orbits with a different number of unstable directions. We propose a new mechanism for the onset of unstable dimension variability based on an interior crisis, or a collision between a chaotic attractor and an unstable periodic orbit. We give a physical example by considering a high-dimensional dissipative physical system driven by impulsive periodic forcing. (C) 2008 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)5569-5574
Number of pages6
JournalPhysics Letters A
Issue number34
Early online date28 Jun 2008
Publication statusPublished - 18 Aug 2008


  • deterministic chaotic systems
  • bifurcation
  • exponent


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