Dynamics near homoclinic networks with a bifocus
In dimension three, the Shilnikov cycle to a saddle-focus is one of the most famous a
Dynamical Systems
Marked point processes of excesses
We consider stochastic processes arising from dynamical systems simply by evaluating
an observable f
Polymatrix Replicators and Lotka-Volterra Systems
The Polymatrix replicators form a simple class of o.d.e.’s on prisms defined by
simplexes, which d
Switching in heteroclinic networks with real eigenvalues
In the context of heteroclinic networks the term ’switching’ refers to a particular form of comp
SRB measures for polygonal billiards with contracting reflection laws.
The billiard map of a polygonal billiard with the standard refection law is conservative and non-cha
Fine properties of L^p-cocycles for the abundance of simpleand trivial Lyapunov spectrum
We will discuss the Lp-abundance of trivial and simple Lyapunov spectrum for a wide class of cocycl
Mixed dynamics in planar reversible diffeomorphisms
One of the main interest studying reversible systems is the fact that they can exhibit, simultaneous
Emergence of drug-resistance in HIV dynamics under distinct HAART regimes
In this talk we introduce a model for the dynamics of HIV epidemics under distinct HAART regimes, an
Centralizer of expansive flows and $\mathbb R^d$-actions
In seminal papers Smale conjectured that most diffeomorphisms should have trivial centralizer. That
Continuity, positivity and simplicity of the Lyapunov exponents for linear quasiperiodic cocycles
In some previous works, P. Duarte and I have developed an abstract scheme of
proving continuity prop