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Nancy Rodriguez (UNC-CH), Ergodic Theory & Dynamical Systems Seminar
March 21, 2017 @ 3:30 pm - 4:30 pm
I will discuss why for cooperative systems when the shocks are small the level of activity dies down. On the other hand, as the intensity of the shocks increases, the level of activity converges to a positive periodic solution (excited cycle). I will also discuss the possibility that there exists multiple excited cycles. If time permits I will discuss a few results related to the activator-inhibitor system.