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Phys. Rev. Lett. 48, 1507–1510 (1982)

Chaotic Attractors in Crisis

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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
Institute for Physical Science and Technology, and Department of Mathematics, University of Maryland, College Park, Maryland 20742

Received 16 April 1982; published in the issue dated 31 May 1982

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.

© 1982 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.48.1507
DOI:
10.1103/PhysRevLett.48.1507
PACS:
02.50.+s, 05.20.-y