Medidas invariantes para fluxos de Cherry.
Estudamos medidas invariantes para os fluxos de Cherry, isto é: fluxos no toro bidimensional que po
Dynamical Systems
Produtos tortos não-hiperbólicos: Aproximação ergódica e entropia emprestada.
Estudaremos produtos tortos transitivos modelados sobre um "shift" completo cujas funções nas fibr
Existence of wandering domains and historic behavior I: a proof of Colli-Vargas conjecture
Colli-Vargas' conjecture. Every two-dimensional diffeomorphism with homoclinic tangency can be appro
Existence of wandering domains and historic behavior II: an answer to Takens' last problem
Takens' last problem. Whether are there persistent classes of smooth dynamical systems such that the
Dynamics near singular cycles
We investigate the dynamics near a heteroclinic cycle between a hyperbolic equilibrium E and a hyper
Learning in games: the importance of being indifferent
Game theory studies the interactions among agents that try to maximize their payoffs by choosing fro
Stability of compositions of hyperbolic maps and applications
The notion of structural stability is one of the oldest concepts in dynamical systems. Structurall
Dynamics at weak resonances in area-preserving maps
We study the complex dynamics in analytic area-preserving maps in a neighbourhood of a resonant elli
Bifurcations of homoclinic tangencies in area-preserving maps
We study bifurcations in area-preserving maps with homoclinic tangencies. We consider $C^r$-smooth m
Bifurcations in coupled cell systems associated to the valency
Coupled cell systems are dynamical systems which respect the structure of a network. In an homogeneo