Co-dimension two bifurcations in the presence of noise

N. Sri Namachchivaya

doi:10.1115/1.2897161

Co-dimension two bifurcations in the presence of noise

N. Sri Namachchivaya

Aerospace Engineering

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Abstract

Some results pertaining to co-dimension two stochastic bifurcations are presented. The normal form associated with non-semi-simple double-zero eigenvalues is considered. The method of stochastic averaging applicable for singularly perturbed stochastic differential equations is used to further reduce the problem to a one-dimensional diffusion process. Probability density, most probable values, stability conditions in probability, and mean exit times are obtained for the reduced system.

Original language	English (US)
Pages (from-to)	259-265
Number of pages	7
Journal	Journal of Applied Mechanics, Transactions ASME
Volume	58
Issue number	1
DOIs	https://doi.org/10.1115/1.2897161
State	Published - Mar 1991

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ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Cite this

Sri Namachchivaya, N. (1991). Co-dimension two bifurcations in the presence of noise. Journal of Applied Mechanics, Transactions ASME, 58(1), 259-265. https://doi.org/10.1115/1.2897161

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10.1115/1.2897161