SS60 AIMS 2016 Meeting, Orlando, Florida, USA

Title:  Infinite-dimensional Dynamical Systems from differential equations under singular perturbations
Organizer(s):
Name: Affiliation: Country: Email Address:
Alexandre Nolasco de Carvalho
Universidade de Sao Paulo
Brazil
andcarva@icmc.usp.br
Marcone CorrĂȘa Pereira
Universidade de Sao Paulo
Brazil
marcone@ime.usp.br
Introduction:
This special session will discuss recent results concerned with qualitative behavior of infinite-dimensional dynamical systems subjected to singular perturbations which are originated by approximations in the parameters of the model. Such dynamical systems are often associated to autonomous and non-autonomous differential equations which possess a maximal compact and invariant set that attracts bounded subsets under the action of the semi-flow and contains all relevant information about the asymptotics of the system and is an important object of study (the global attractors). There are many researchers working to understand its existence, characterisation, robustness, as well as upper and lower semicontinuity under perturbations. Observe that the study of elementary invariant sets such as steady state solutions, periodic orbits and their unstable (stable) manifolds and their behavior under singular perturbation play an important role in the study of the characterisation and robustness of attractors.
List of approved abstract