Computation of the topological entropy in chaotic biophysical bursting models for excitable cells.
Conditions under which a Geodesic Flow is Anosov.
Conformally Anosov flows in contact metric geometry.
Connected components of the strata of the moduli spaces of quadratic differentials
In two fundamental classical papers, Masur [14] and Veech [21] have independently proved that the Teichmüller geodesic flow acts ergodically on each connected component of each stratum of the moduli space of quadratic differentials. It is therefore interesting to have a classification of the ergodic components. Veech has proved that these strata are not necessarily connected. In a recent work [8], Kontsevich and Zorich have completely classified the components in the particular case where the quadratic...
Connections between Morse sets for delay-differential equations.
Connexions hétéroclines et généricité d'une infinité de puits et de sources
Constructing complete chaotic maps with reciprocal structures.
Constructing multi-branches complete chaotic maps that preserve specified invariant density.
Construction de flots de Smale en dimension 3
Construction of invariant sets for Anosov diffeomorphisms and hyperbolic attractors
Continuity of the Hausdorff dimension for invariant subsets of interval maps.
Continuum-wise expansive diffeomorphisms.
In this paper, we show that the C1 interior of the set of all continuum-wise expansive diffeomorphisms of a closed manifold coincides with the C1 interior of the set of all expansive diffeomorphisms. And the C1 interior of the set of all continuum-wise fully expansive diffeomorphisms on a surface is investigated. Furthermore, we have necessary and sufficient conditions for a diffeomorphism belonging to these open sets to be Anosov.
Contracting singular cycles
Contracting-on-Average Baker Maps
We estimate from above and below the Hausdorff dimension of SRB measure for contracting-on-average baker maps.
Control techniques for chaotic dynamical systems
Controlling chaos through growth rate adjustment.
Controlling nonuniqueness of local invariant manifolds.
Convexes divisibles III
Correction to: Connecting invariant manifolds and the solution of the stability and -stability conjectures for flows.
Correlation dimension for self-similar Cantor sets with overlaps
We prove a classification theorem of the “Glimm-Effros” type for Borel order relations: a Borel partial order on the reals either is Borel linearizable or includes a copy of a certain Borel partial order which is not Borel linearizable.