Chaos: why, where and how much [ Back ]

Date:
16.12.19   
Times:
15:30
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
Carles Simó
University:
Universitat de Barcelona

Abstract:

We consider the chaos which appears in real problems assuming:1) determinism; 2) a mathematical model; 3) good agreement between physical experiments and predictions coming from the model.

After looking at some examples coming from a simple nonlinear model, with or without dissipation and forcing, we introduce the requirements that we consider for chaos: Sensitive Dependence on Initial Conditions and Topological Transitivity.

Then we study the reasons why chaos appears, looking at the objects that appear in the phase space. Next we discuss where these objects appear and which facts lead to creation/destruction/coupling of chaos.

Finally we comment on different ways to measure the amount of chaos, some additional facts and dynamical consequences and a few of the many open problems.