Chaotic Attractors in Crisis

Celso Grebogi; Edward Ott; James A. Yorke

doi:10.1103/PhysRevLett.48.1507

Chaotic Attractors in Crisis

Celso Grebogi, Edward Ott, and James A. Yorke

Phys. Rev. Lett. 48, 1507 – Published 31 May 1982

Abstract

The occurrence of sudden qualitative changes of chaotic (or "turbulent") dynamics is discussed and illustrated within the context of the one-dimensional quadratic map. For this case, the chaotic region can suddenly widen or disappear, and the cause and properties of these phenomena are investigated.

Received 16 April 1982

DOI:https://doi.org/10.1103/PhysRevLett.48.1507

Authors & Affiliations

Celso Grebogi

Laboratory for Plasma and Fusion Energy Studies, University of Maryland, College Park, Maryland 20742

Edward Ott

Laboratory for Plasma and Fusion Energy Studies, Department of Electrical Engineering, and Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

James A. Yorke