Palestras e Seminários
12/07/2023
14:00
Palestrante: Sofia B. S. D. Castro
Responsável: Phillipo Lappicy (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Webinar on Evolution Equations and Dynamical Systems
Abstract: This talk discusses the dynamics near a heteroclinic network, that is, near a connected union of two or more heteroclinic cycles. Near a node/equilibrium which belongs to more than one cycle, trajectories can follow one of the outgoing connections at this node and therefore, follow different cycles. Switching dynamics refers to the fact that trajectories can ‘switch’ from following one of the cycles to following a different one at such a node. Switching dynamics can be simple or very complex depending on the possible choices that are available. I shall show that, near a heteroclinic network such that the Jacobian matrix at each node has only real eigenvalues, only finite switching exist. This means that not all arbitrary combinations of paths along the network can be followed by nearby trajectories. This result does not mean that for such networks the dynamics are uninteresting, as some game theory problems illustrate.
Os interessados na palestra podem acessar o link e o calendário do grupo em https://sites.google.com/usp.br/evol-eq-and-dyn-systems
