Critical Exponent of Chaotic Transients in Nonlinear Dynamical Systems

Celso Grebogi, Edward Ott, James A. Yorke

Research output: Contribution to journalArticlepeer-review

252 Citations (Scopus)


The average lifetime of a chaotic transient versus a system parameter is studied for the case wherein a chaotic attractor is converted into a chaotic transient upon collision with its basin boundary (a crisis). Typically the average lifetime T depends upon the system parameter p via T∼|p−pc|−γ, where pc denotes the value of p at the crisis and we call γ the critical exponent of the chaotic transient. A theory determining γ for two-dimensional maps is developed and compared with numerical experiments. The theory also applies to critical behavior at interior crises.
Original languageEnglish
Pages (from-to)1284-1287
Number of pages4
JournalPhysical Review Letters
Issue number11
Publication statusPublished - 15 Sept 1986


Dive into the research topics of 'Critical Exponent of Chaotic Transients in Nonlinear Dynamical Systems'. Together they form a unique fingerprint.

Cite this