English

Most Probable Phase Portraits of Stochastic Differential Equations and its Numerical Simulation

Probability 2017-03-21 v1

Abstract

A practical and accessible introduction to most probable phase portraits is given. The reader is assumed to be familiar with stochastic differential equations and Euler-Maruyama method in numerical simulation. The article first introduce the method to obtain most probable phase portraits and then give its numerical simulation which is based on Euler-Maruyama method. All of these are given by examples and easy to understand.

Keywords

Cite

@article{arxiv.1703.06789,
  title  = {Most Probable Phase Portraits of Stochastic Differential Equations and its Numerical Simulation},
  author = {Bing Yang and Zhu Zeng and Ling Wang},
  journal= {arXiv preprint arXiv:1703.06789},
  year   = {2017}
}