Numerical investigation on global dynamics for nonlinear stochastic heat conduction via global random attractors theory-Reference-Cited by-同舟云学术

Numerical investigation on global dynamics for nonlinear stochastic heat conduction via global random attractors theory

Published:2018-06-01 Issue:1 Volume:3 Page:175-186
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Chen H.¹,Jiang Jingfei²,Cao Dengqing¹,Fan Xiaoming³

Affiliation:

1. Division of Dynamics and Control , School of Astronautics, Harbin Institute of Technology P.O. Box 137 150001 , Harbin , China

2. Division of Dynamics and Control , School of Mathematics and Statistics , Shandong University of Technology 255049 , Zibo , China

3. School of Mathematics , Southwest Jiaotong University , 610031 , Chengdu , China

Abstract

Abstract In term of the global random attractors theory, global dynamics of nonlinear stochastic heat conduction driven by multiplicative white noise with a variable coefficient are investigated numerically. It is shown that global 𝒟-bifurcation, secondary global 𝒟-bifurcation and complex dynamical behavior occur in motion of the system with increasing the intensity of linear component in the heat source. Furthermore, the results obtained here indicate that Hasudorff dimension which is relevant to global Lyapunov exponent can be used to describe global dynamics of the associated system qualitatively.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.21042/AMNS.2018.1.00014

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