RT info:eu-repo/semantics/article
T1 Structure of non-autonomous attractors for a class of diffusively coupled ODE
A1 Obaya, Rafael
AB In this work we will study the structure of the skew-product attractor for a planar diffusively coupled ordinary differential equation, given by $\dot{x}= k(y-x)+x-\beta(t)x^3$ and $\dot{y}= k(x-y)+y-\beta(t)y^3$, $t\geq 0$. We identify the non-autonomous structures that completely describes the dynamics of this model giving a Morse decomposition for the skew-product attractor. The complexity of the isolated invariant sets in the global attractor of the associated skew-product semigroup is associated to the complexity of the attractor of the associated driving semigroup. In particular, if $\beta$ is asymptotically almost periodic, the isolated invariant sets will be  almost periodic hyperbolic global solutions of an associated  globally defined problem.
PB American Institute of mathematics
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/69703
UL https://uvadoc.uva.es/handle/10324/69703
LA spa
NO Discrete and Continuous Dynamical Systems B, Vol 28,  Num 1, 426-448
DS UVaDOC
RD 18-nov-2024