<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In term of the global random attractors theory, global dynamics of nonlinear stochastic heat conduction driven by multiplicative white noise with a variable...

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

Publié en ligne: 03 oct. 2018

Pages: 175 - 186

Reçu: 09 mars 2018

Accepté: 17 mai 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00014

Mots clés
nonlinear stochastic heat conduction, global dynamics, random invariant measure, Hausdorff dimension, global Lyapunov exponent

© 2018 H. Chen et al., published by Sciendo.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Publié en ligne: 03 oct. 2018

Pages: 175 - 186

Reçu: 09 mars 2018

Accepté: 17 mai 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00014

Mots clésnonlinear stochastic heat conduction, global dynamics, random invariant measure, Hausdorff dimension, global Lyapunov exponent

© 2018 H. Chen et al., published by Sciendo.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
nonlinear stochastic heat conduction, global dynamics, random invariant measure, Hausdorff dimension, global Lyapunov exponent