Recent developments in dynamical systems: three perspectives

F Balibrea, T Caraballo, PE Kloeden… - International Journal of …, 2010 - World Scientific
RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES | International
Journal of Bifurcation and Chaos World Scientific Search This Journal Anywhere Quick …

Random attractors for non-autonomous stochasticwave equations with multiplicative noise

B Wang - Discrete and continuous dynamical systems, 2013 - aimsciences.org
This paper is concerned with the asymptotic behavior of solutions of the damped non-
autonomous stochastic wave equations driven by multiplicative white noise. We prove the …

[HTML][HTML] Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise

B Wang - Journal of Differential Equations, 2019 - Elsevier
This paper is concerned with the asymptotic behavior of the solutions of the fractional
reaction-diffusion equations with polynomial drift terms of arbitrary order driven by locally …

[HTML][HTML] Random dynamics of p-Laplacian lattice systems driven by infinite-dimensional nonlinear noise

R Wang, B Wang - Stochastic Processes and their Applications, 2020 - Elsevier
This article is concerned with the global existence and random dynamics of the non-
autonomous p-Laplacian lattice system defined on the entire integer set driven by infinite …

Attractors of non-autonomous stochastic lattice systems in weighted spaces

PW Bates, K Lu, B Wang - Physica D: Nonlinear Phenomena, 2014 - Elsevier
We study the asymptotic behavior of solutions to a class of non-autonomous stochastic
lattice systems driven by multiplicative white noise. We prove the existence and uniqueness …

Weak pullback attractors for mean random dynamical systems in Bochner spaces

B Wang - Journal of Dynamics and Differential Equations, 2019 - Springer
This paper is concerned with weak pullback mean random attractors for mean random
dynamical systems defined in Bochner spaces. We first introduce the concept of weak …

[HTML][HTML] Regularity of random attractors for fractional stochastic reaction–diffusion equations on Rn

A Gu, D Li, B Wang, H Yang - Journal of Differential Equations, 2018 - Elsevier
We investigate the regularity of random attractors for the non-autonomous non-local
fractional stochastic reaction–diffusion equations in H s (R n) with s∈(0, 1). We prove the …

Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms

B Wang - Stochastics and Dynamics, 2014 - World Scientific
We prove the existence and uniqueness of tempered random attractors for stochastic
Reaction–Diffusion equations on unbounded domains with multiplicative noise and …

Well-posedness and long term behavior of supercritical wave equations driven by nonlinear colored noise on Rn

B Wang - Journal of Functional Analysis, 2022 - Elsevier
This paper is concerned with the well-posedness and long term behavior of the non-
autonomous random wave equations driven by nonlinear colored noise on R n with n≤ 5 …

Multivalued random dynamics of Benjamin-Bona-Mahony equations driven by nonlinear colored noise on unbounded domains

P Chen, B Wang, R Wang, X Zhang - Mathematische Annalen, 2023 - Springer
This paper is concerned with the long term behavior of the solutions of the non-autonomous
Benjamin-Bona-Mahony equation driven by nonlinear colored noise with continuous …