Alfonso Ruiz-herrera (Universidad de Granada , Granada, Spanyolország)

Chaos in delay differential equations with applications in population dynamics

Abstract: In this talk we develop an analytic method for proving the presence of chaotic dynamics in delay differential equations. Our approach is based on topological tools and does not involve small/large parameters. As an applications of our method we prove analytically the presence of chaotic dynamics in the classical model of predator prey type suggested by R. May.