Nonlinear Dynamics at the Free University Berlin

Summer 2010

Oberseminar Nonlinear Dynamics



Apr 20, 2010 SFB 647
May 4, 2010 Alexey Osipov
(St. Petersburg State University)
(Non)genericity of shadowing properties
We will consider the following shadowing properties of discrete dynamical systems: pseudo-orbit tracing property (or standard shadowing property), orbital shadowing property and weak shadowing property. We will discuss the problems of genericity and density of the above-mentioned shadowing properties in different spaces of discrete dynamical systems on closed smooth manifolds. Particularly we will talk about nondensity of orbital shadowing property with respect to C^1-topology.
May 11, 2010 SFB 647
May 18, 2010 Bernold Fiedler
(Free University Berlin)
Global attractors of Sturm type: examples and counterexamples
May 25, 2010 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications
Jun 01, 2010 SFB 647
Joint SIAM/RSME-SCM-SEMA Meeting Emerging Topics in Dynamical Systems and Partial Differential Equations, DSPDEs'10, Barcelona, Spain
Jun 08, 2010 Michael Winkler
(University of Duisburg-Essen)
Irreversibly heading for balance? Some examples of colorful dynamics in simple diffusion processes
Diffusion equations have been thoroughly studied in the past decades, and a large variety of results has given rise to some common belief about effects of diffusion. Typical conclusions of this flavor read as follows.
  • Bounded solutions stabilize towards some equilibrium.
  • Diffusive evolution never returns to a state in which it has already been sometime in the past.
  • Singularities are melted down either instantaneously or never.
The intention of the talk is to present some exemplary results which indicate that such dogma-like statements need not be true in general. To underline this, the main focus will be on cases where the mathematical setting, made up by the PDE ingredients, space dimensions and domains, is as simple as possible.
Marek Fila
(Comenius University, Bratislava)
Homoclinic and Heteroclinic Orbits for a Semilinear Parabolic Equation
We study the existence of connecting orbits for the Fujita equation, ut=Δu+up, with a critical or supercritical exponent p. For certain ranges of the exponent we prove the existence of heteroclinic connections from positive steady states to zero and the existence of a homoclinic orbit with respect to zero. This is a joint work with Eiji Yanagida.
Jun 15, 2010 SFB 647
Jun 22, 2010 SFB 647
Jun 29, 2010 Sergey Tikhomirov
(PUC, Rio de Janeiro)
Dynamical systems with hysteresis
15:15, Free Unversity Berlin, Room 140, Arnimallee 7 (rear building), 14195 Berlin
Jul 06, 2010 International Workshop on Nonlinear Dynamics on Networks, Kiev, Ukraine
Jul 13, 2010 SFB 647

Time and Place

Talks usually take place on Tuesday at 3:15 p.m.
at the Weierstraß Institute
Ehrhard-Schmid-Hörsaal, Mohrenstr. 39, 10117 Berlin.

Tea and coffee will be served at 2:45 p.m. on the ground floor.
Guests are always welcome !


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