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6 papers · 2 filters
Abundance of elliptic dynamics on conservative 3-flows
Mario Bessa, Pedro Duarte
We consider a compact 3-dimensional boundaryless Riemannian manifold M and the set of divergence-free (or zero divergence) vector fields without singularities, then we prove that t…
Statistical stability of equilibrium states for interval maps
Jorge Milhazes Freitas, Mike Todd
We consider families of multimodal interval maps with polynomial growth of the derivative along the critical orbits. For these maps Bruin and Todd have shown the existence and uniq…
Equilibrium states for potentials with $\supϕ- \infϕ< \htop(f)$
Henk Bruin, Mike Todd
In the context of smooth interval maps, we study an inducing scheme approach to prove existence and uniqueness of equilibrium states for potentials with he `bounded range' cond…
On C1-robust transitivity of volume-preserving flows
M. Bessa, J. Rocha
We prove that a divergence-free and C1-robustly transitive vector field has no singularities. Moreover, if the vector field is C4 then the linear Poincare flow associated to it adm…
Generic dynamics of 4-dimensional C2 Hamiltonian systems
Mario Bessa, Joao Lopes Dias
We study the dynamical behaviour of Hamiltonian flows defined on 4-dimensional compact symplectic manifolds. We find the existence of a C2-residual set of Hamiltonians for which ev…
Global hyperbolicity of renormalization for C^r unimodal mappings
Edson de Faria, Welington de Melo, Alberto Pinto
In this paper we extend M. Lyubich's recent results on the global hyperbolicity of renormalization of quadratic-like germs to the space of C^r unimodal maps with quadratic critical…