Colloquium Mathematics, Prof.dr. Peter Kloeden

 

Join us for coffee and tea at 15.45 p.m.

 

 

Date: Tuesday, February 14^th 2012

Speaker: Prof.dr. Peter Kloeden
                Institut für Mathematik,
                J.W. Goethe-Universität,
                Frankfurt am Main

Room: 5161.0267 (Bernoulliborg)

Time: 16.15

 

  

Title: Random attractors and the preservation of synchronization
          in the presence of noise

 

 

Abstract:   
 
The long term behaviour of dissipatively synchronized deterministic systems is determined by the system with the averaged vector field of the original uncoupled systems. This effect is preserved in the presence of environmental, i.e., background or additive -- noise provided stochastic stationary solutions are used instead of steady state solutions. Random dynamical systems and random attractors provide the appropriate mathematical framework for such problems and require Ito stochastic differential equations to be transformed into pathwise random ordinary differential equations. An application to a system of semi-linear parabolic stochastic partial differential equations with additive space-time noise on the union of thin bounded tubular domains separated by a permeable membrane will be considered.

Joint work with Tomas Caraballo (Sevilla) and Igor Chueshov (Kharkov).

 

 

Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and

Dr. A.V. Kiselev (e-mail: a.v.kiselev@rug.nl)