The Effect of Random and Periodic Fluctuations on Nonlinear Systems View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1984

AUTHORS

C. R. Doering

ABSTRACT

It has become well established that a fluctuating environment can cause transitions in otherwise stable nonlinear systems. See the report of HORSTHEMKE in this volume for a theoretical analysis, and the report of MOSS for numerical and experimental studies of such phenomena. In both of these reports, the noise considered is random and the state of the system is characterized by its stationary probability density. Maxima and minima of this distribution are identified with stable and unstable steady states respectively. Transitions are recognized as qualitative changes, i.e., changes in the number and location of extrema of the system’s probability density due to changes in the noise parameters while the average value of the environment remains constant. More... »

PAGES

253-256

Book

TITLE

Fluctuations and Sensitivity in Nonequilibrium Systems

ISBN

978-3-642-46510-9
978-3-642-46508-6

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-46508-6_31

DOI

http://dx.doi.org/10.1007/978-3-642-46508-6_31

DIMENSIONS

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