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Time-reversible and equivariant pitchfork bifurcation

✍ Scribed by Chjan C. Lim; I-Heng McComb

Book ID
104297327
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
320 KB
Volume
112
Category
Article
ISSN
0167-2789

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✦ Synopsis

In this note we describe a new phenomenon in steady-state bifurcations of time-reversible and equivariant vector fields. When the eigenspace associated with a pair of imaginary eigenvalues that passes through zero onto the real line is separable fi'om the nullspace associated with the fixed zeros of the spectrum, we wove that a pitchfork bifurcation occurs.

πŸ“œ SIMILAR VOLUMES

Stochastic pitchfork bifurcation: numeri
Stochastic pitchfork bifurcation: numerical simulations and symbolic calculations using MAPLE
✍ Kedai Xu πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 467 KB

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