Random dynamical systems

Monday, June 4, 2018 - 2:00pm - 2:30pm
Xiaoying (Maggie) Han (Auburn University)
Long term dynamics of two lattice models with biological applications will be discussed. One is a non-autonomous lattice system with discontinuous reactions terms with recoverable delays, which has applications in systems of excitable cells. The other is a random lattice system with nonlinear coupling, which arises from neuron network models.
Wednesday, October 24, 2012 - 10:15am - 11:05am
Wen Huang (University of Science and Technology of China)
In this talk, we present an answer to the long standing problem on the
implication of positive entropy of a random dynamical system. We study
C^0 infinite dimensional random dynamical systems in a Polish space, do not
assume any hyperbolicity, and prove that chaos and weak horseshoe exist
inside the random invariant set when its entropy is positive. This result
is new even for finite dimensional random dynamical systems and infinite
dimensional deterministic dynamical systems generated by either parabolic
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