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Cluster Computing
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14-03-2017

The invariant measure and stationary probability density computing model based analysis of the governor system

Authors: Jiangang Zhang, Yandong Chu, Wenju Du, Jiarong Lu, Hongwei Luo

Published in: Cluster Computing | Issue 2/2017

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Abstract

In this paper, the stochastic stability and bifurcation of a stochastic differential equation modeling a hexagonal governor system are investigated. More precisely, we introduced the stochasticity into the model based on the parameter perturbation, and simplified the stochastic hexagonal governor system by using the stochastic center manifold theory and stochastic average theory. Besides, we investigated the local stochastic stability and global stochastic stability of the stochastic hexagonal governor system through the use of the Lyapunov exponent and singular boundary theory. And based on the invariant measure and stationary probability density, we studied the stochastic bifurcation of the stochastic hexagonal governor system. Finally, we obtained some new criteria to ensure the stochastic pitchfork bifurcation and P-bifurcation of the stochastic hexagonal governor system.
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Metadata
Title
The invariant measure and stationary probability density computing model based analysis of the governor system
Authors
Jiangang Zhang
Yandong Chu
Wenju Du
Jiarong Lu
Hongwei Luo
Publication date
14-03-2017
Publisher
Springer US
Published in
Cluster Computing / Issue 2/2017
Print ISSN: 1386-7857
Electronic ISSN: 1573-7543
DOI
https://doi.org/10.1007/s10586-017-0817-4

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