Stochastic pitchfork bifurcation: numerical simulations and symbolic calculations using MAPLE

by: Kedai Xu

Mathematics and Computers in Simulation, Vol. 38, No. 1-3. (May 1995), pp. 199-209.

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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.

@article{citeulike:381930, 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.}, author = {Xu, Kedai }, citeulike-article-id = {381930}, doi = {10.1016/0378-4754(93)E0083-H}, journal = {Mathematics and Computers in Simulation}, keywords = {bifurcation, pitchfork, random, simulation, stochastic}, month = {May}, number = {1-3}, pages = {199--209}, posted-at = {2005-11-05 21:07:16}, priority = {5}, title = {Stochastic pitchfork bifurcation: numerical simulations and symbolic calculations using MAPLE}, url = {http://dx.doi.org/10.1016/0378-4754(93)E0083-H}, volume = {38}, year = {1995} }

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TY - JOUR ID - citeulike:381930 L3 - citeulike-article-id:381930 TI - Stochastic pitchfork bifurcation: numerical simulations and symbolic calculations using MAPLE JF - Mathematics and Computers in Simulation VL - 38 IS - 1-3 SP - 199 EP - 209 N2 - 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. KW - bifurcation KW - pitchfork KW - random KW - simulation KW - stochastic AU - Xu, Kedai PY - 1995/05// UR - http://dx.doi.org/10.1016/0378-4754(93)E0083-H ER -

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