AVVISO DI SEMINARIO



Martedì 15 maggio, alle ore 14:30, nell'aula G (ex Psicologia) del Dipartimento di Matematica e Fisica della Università degli Studi della Campania “Luigi Vanvitelli”, il Professore  Saber N. Elaydi, della Trinity University, San Antonio (TX), USA, terrà un seminario dal titolo

« Global dynamics of discrete dynamical systems/difference equations: Application to population dynamics and economics»



Abstract: Global dynamics of difference equations/discrete dynamical systems are the most challenging problems in these disciplines. In this talk, we will explore some of the recent breakthroughs and advances in this area. The global dynamics of two types of discrete dynamical systems (maps) have been successfully established. These are triangular difference equations (maps) and monotone discrete dynamical systems (maps). We establish a general theory of triangular maps with minimal conditions. Smith’s theory of planar monotone discrete dynamical systems is extended via a new geometric theory to any finite dimension. Then we show how to establish global stability for maps that are neither monotone nor triangular via singularity theory and the notion of critical curves.

Applications to models in biology and economics will be discussed.

La proponente:  Emma D’Aniello