Preference of attractors in noisy multistable systems

Suso Kraut; Ulrike Feudel; Celso Grebogi

doi:10.1103/PhysRevE.59.5253

Preference of attractors in noisy multistable systems

Suso Kraut, Ulrike Feudel, and Celso Grebogi

Phys. Rev. E 59, 5253 – Published 1 May 1999

Abstract

A model system exhibiting a large number of attractors is investigated under the influence of noise. Several methods for discriminating two qualitatively different regions of the noise intensity are presented, and the phenomenon of noise-induced preference of attractors is reported. Finally, the relevance of our findings for detection of multiple stable states of systems occurring in nature or in the laboratory is pointed out.

Received 24 September 1998

DOI:https://doi.org/10.1103/PhysRevE.59.5253

Authors & Affiliations

Suso Kraut¹, Ulrike Feudel^1,2, and Celso Grebogi^1,2,3,4

¹Institut für Physik, Universität Potsdam, Postfach 601553, D-14415 Potsdam, Germany
²Institute for Plasma Research, University of Maryland, College Park, Maryland 20742
³Department of Mathematics, University of Maryland, College Park, Maryland 20742
⁴Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742

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Vol. 59, Iss. 5 — May 1999

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics