Complexity Explorer Santa Few Institute


Course Syllabus

Self-Organization: Theory and Simulations

A key concept in the theory of 'Complex and Adaptive Dynamical Systems' (CADS) is the notion of self-organization, namely that relatively simple basic evolution equations may give rise to complex spatio-temporal patterns and dynamical structures. The course will start with an introduction to dynamical system theory and to bifurcation and catastrophe theory. Further topics will include the Turing instability and pattern formation in diffusion-reaction systems, swarm intelligence, opinion dynamics, car following models and Darwinian evolution (error-catastrophe, quasi-species, hyper-cycles).

Goethe Universitat, Frankfurt
C. Gros
Emergence, Modeling, Evolution, Self-Organization