Stochastic pitchfork bifurcation: numerical simulations and symbolic calculations using MAPLE

In this paper we study, mainly numerically, stochastic pitchfork bifurcation. By stochastic bifurcation we mean that new invariant measures appear as parameters contained in random dynamical systems are varied. We also show, by example, that using computer algebra MAPLE one can calculate stochastic normal forms which can be used to study stochastic bifurcations.

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Year of publication:	1995
Authors:	Xu, Kedai
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 38.1995, 1, p. 199-209
Publisher:	Elsevier
Subject:	Random dynamical system \| Lyapunov exponent \| Equivariant measure \| Stochastic pitchfork bifurcation \| Stochastic normal form \| MAPLE

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010870035