Research on the Stochastic Hopf Bifurcation of the Shallow Lake Ecosystem with Stochastic Excitation

DOI

10.2991/ifeesm-15.2015.84How to use a DOI?

Keywords

Stochastic averaging method. The multiplicative stochastic excitation. Stochastic Hopf bifurcation. Regime shift.

Abstract

Establishing the model of the shallow lake ecosystem with stochastic excitation, with the stochastic averaging method and nonlinear dynamic theory, the model of the shallow lake ecosystem with stochastic excitation was simplified. Based on the Stratonovich-Khasminiskii stochastic average principle and Oseledec multiplicative ergodic theory. We studied the stochastic Hopf bifurcation behavior with the FPK method. The results showed that the bifurcation behavior of the stochastic system is different from the bifurcation behavior of the deterministic system. The effect of stochastic factors can make the stability of the system appear change. A pseudo-random noise can make the system appear regime shift. The bifurcation value of the system shifts.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Ruichao Li
AU  - Bo Wang
PY  - 2015/09
DA  - 2015/09
TI  - Research on the Stochastic Hopf Bifurcation of the Shallow Lake Ecosystem with Stochastic Excitation
BT  - Proceedings of the 2015 International Forum on Energy, Environment Science and Materials
PB  - Atlantis Press
SP  - 441
EP  - 444
SN  - 2352-5401
UR  - https://doi.org/10.2991/ifeesm-15.2015.84
DO  - 10.2991/ifeesm-15.2015.84
ID  - Li2015/09
ER  -