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.
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References
K. Kitahara, W. Horsthemke, R. Lefever and Y. Inaba, Prog.Theor.Phys, 64,1233 (1980)
C.R.Doering and W.Horsthemke, submitted to J.Stat.Phys.
W.Horsthemke, CoRoDoering, R.Lefever and A.S.Chi, submitted to Phys.Rev.
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© 1984 Springer-Verlag Berlin Heidelberg
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Doering, C.R. (1984). The Effect of Random and Periodic Fluctuations on Nonlinear Systems. In: Horsthemke, W., Kondepudi, D.K. (eds) Fluctuations and Sensitivity in Nonequilibrium Systems. Springer Proceedings in Physics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46508-6_31
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DOI: https://doi.org/10.1007/978-3-642-46508-6_31
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