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.