Synchronization of a stochastic reaction-diffusion system on a thin two-layer domain

T Caraballo, ID Chueshov, PE Kloeden - SIAM Journal on Mathematical …, 2007 - SIAM
A system of semilinear parabolic stochastic partial differential equations with additive space-
time noise is considered on the union of thin bounded tubular domains D_1,\eps:=Γ*(0,\eps) …

On the invariance principle: Generalizations and applications to synchronization

HM Rodrigues, LFC Alberto… - IEEE Transactions on …, 2000 - ieeexplore.ieee.org
In many engineering and physics problems it is very hard to find a Lyapunov function
satisfying the classical version of the LaSalle's invariance principle. In this work, an …

The persistence of synchronization under environmental noise

T Caraballo, PE Kloeden - Proceedings of the Royal …, 2005 - royalsocietypublishing.org
The persistence of synchronization under environmental noise | Proceedings of the Royal
Society A: Mathematical, Physical and Engineering Sciences logo logo Skip main navigationJournal …

Uniform invariance principle and synchronization. Robustness with respect to parameter variation

HM Rodrigues, LFC Alberto, NG Bretas - Journal of Differential Equations, 2001 - Elsevier
The objective of this work is to obtain uniform estimates, with respect to parameters, of the
attractor and of the basin of attraction of a dynamical system and to apply these results to …

Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness

T Caraballo, M Herrera-Cobos, P Marín-Rubio - Nonlinear Dynamics, 2016 - Springer
In this paper, we consider a nonautonomous nonlocal reaction–diffusion equation with a
small perturbation in the nonlocal diffusion term and the nonautonomous force. Under the …

Global attractors and synchronization of coupled critical Lamé systems with nonlinear damping

R Wang, MM Freitas, B Feng, AJA Ramos - Journal of Differential Equations, 2023 - Elsevier
We investigate the global attractors and synchronization phenomenon of a coupled critical
Lamé system defined on a smooth bounded domain Ω⊂ R 3 with nonlinear damping and …

[PDF][PDF] Synchronization of nonautonomous dynamical systems.

PE Kloeden - Electronic Journal of Differential Equations (EJDE) …, 2003 - eudml.org
The synchronization of two nonautonomous dynamical systems is considered, where the
systems are described in terms of a skew-product formalism, ie, in which an inputed …

Synchronization, multistability and basin crisis in coupled pendula

OI Olusola, UE Vincent, AN Njah - Journal of sound and vibration, 2010 - Elsevier
The synchronization dynamics of two linearly coupled pendula is studied in this paper.
Based on the Lyapunov stability theory and Linear matrix inequality (LMI); some necessary …

Synchronization of stochastic lattice equations

H Bessaih, MJ Garrido-Atienza, V Köpp… - … and Applications NoDEA, 2020 - Springer
In this paper we consider a system of two coupled nonlinear lattice stochastic equations
driven by additive white noise processes. We prove the master slave synchronization of the …

Synchronization of systems with multiplicative noise

T Caraballo, PE Kloeden… - Stochastics and Dynamics, 2008 - World Scientific
The synchronization of Stratonovich stochastic differential equations (SDE) with a one-sided
dissipative Lipschitz drift and linear multiplicative noise is investigated by transforming the …