TWO-STEP TRANSITION IN NONAUTONOMOUS BIFURCATIONS: AN EXPLANATION-Reference-Cited by-同舟云学术

TWO-STEP TRANSITION IN NONAUTONOMOUS BIFURCATIONS: AN EXPLANATION

Published:2002-03 Issue:01 Volume:02 Page:67-92
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

JOHNSON R. A.¹,KLOEDEN P. E.²,PAVANI R.³

Affiliation:

1. Dipartimento di Sistemi e Informatica, Università di Firenze, I-50139 Firenze, Italy

2. Fachbereich Mathematik, Johann Wolfgang Goethe Universität, D-60054 Frankfurt am Main, Germany

3. Dipartimento di Matematica, Politecnico di Milano, I-20133 Milano, Italy

Abstract

We consider the two-step bifurcation scenario which has been studied by L. Arnold and his co-workers. We formulate a "continuous case" and a "measurable case" of the scenario, and present results and conjectures regarding sufficient conditions that it take place.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493702000297

Reference22 articles.

1. TOWARD AN UNDERSTANDING OF STOCHASTIC HOPF BIFURCATION

2. How to construct stochastic center manifolds on the level of vector fields

3. Random perturbations of bifurcation diagrams

4. Attractors for random dynamical systems

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