A novel stochastic bifurcation and its discrimination

Chen Jin, Zhongkui Sun, Wei Xu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

This paper is concerned with a novel stochastic bifurcation and its discrimination of stochastic dynamical system. A new kind of stochastic response—called extremely possible response and a novel stochastic bifurcation—called stochastic extremum bifurcation is defined for the first time. An entirely new method for discriminating stochastic bifurcation is proposed based on the new definition mentioned above. In addition, the classical Van der Pol oscillator is used as the illustrative example to demonstrate the validity of the proposed method. Worthy of note is that the new stochastic extremum bifurcation defined in this paper is mathematically equivalent to the stochastic P-bifurcation defined by Arnold and the new proposed method for discriminating stochastic bifurcation is more convenient than the “traditional” method.

Original languageEnglish
Article number106364
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume110
DOIs
StatePublished - Jul 2022

Keywords

  • Bifurcation discrimination
  • Stochastic bifurcation
  • Stochastic dynamic system
  • Stochastic extremum bifurcation

Fingerprint

Dive into the research topics of 'A novel stochastic bifurcation and its discrimination'. Together they form a unique fingerprint.

Cite this