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
Dynamical Systems
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
Complete Poisson convergence and records
We consider point processes of rare events that keep record of the number of extreme occurrences on
Cohomology and equidistribution for higher-rank Abelian actions on Heisenberg manifolds with applications to Theta sums
I will present quantitative equidistribution results for the action of Abelian subgroups of the (2g
Non-typical points for iterated function systems
The celebrated Birkhoff's ergodic theorem asserts that from a probabilistic viewpoint the times ave
Mean Topological Dimension for topological dynamical systems
In this talk we intend to present the denition of mean topological dimension for a topological dyna
Royal measures are loosely Kronecker
A nonhyperbolic ergodic measure is an ergodic invariant measure with one Lyapunov exponent equal zer
The Conley index and its applications to the study of surface flows
In this seminar we shall introduce the Conley index of an isolated invarant set of a flow on a local
Stability of quasi-simple heteroclinic cycles
The stability of heteroclinic cycles may be obtained from the value of the local stability index alo