Universal behavior in the parametric evolution of chaotic saddles

Ying-Cheng Lai, Karol Zyczkowski, Celso Grebogi

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


Chaotic saddles are nonattracting dynamical invariant sets that physically lead to transient chaos. As a system parameter changes, chaotic saddles can evolve via an infinite number of homoclinic or heteroclinic tangencies of their stable and unstable manifolds. Based on previous numerical evidence and a rigorous analysis of a class of representative models, we show that dynamical invariants such as the topological entropy and the fractal dimension of chaotic saddles obey a universal behavior: they exhibit a devil-staircase characteristic as a function of the system parameter. [S1063-651X(99)01605-0].

Original languageEnglish
Pages (from-to)5261-5265
Number of pages5
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5
Publication statusPublished - 1 May 1999


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