Stochastic pitchfork bifurcation: numerical simulations and symbolic calculations using MAPLE

Kedai Xu

Mathematics and Computers in Simulation (MATCOM), 1995, vol. 38, issue 1, 199-209

Abstract: 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.

Keywords: Random dynamical system; Lyapunov exponent; Equivariant measure; Stochastic pitchfork bifurcation; Stochastic normal form; MAPLE (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:38:y:1995:i:1:p:199-209

DOI: 10.1016/0378-4754(93)E0083-H

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