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Showing 2015 · math.DSShow all

12 papers · 2 filters

math.DS2015

Is there switching without suspended horseshoes?

Alexandre Rodrigues

In general, infinite switching behaviour near networks is associated with the existence of suspended horseshoes. Trajectories that realize switching lie within these transitive set…

math.DS2015

Limit cycles for a class of equivariant systems without infinite equilibria

Isabel S. Labouriau, Adrian C. Murza

We analyze the dynamics of a class of -equivariant differential equations on the plane, depending on 4 real parameters. This study is the generalisation to $\mathb…

math.DS2015★ 18 cited

On Equilibrium States for Partially Hyperbolic Horseshoes

Isabel Rios, Jaqueline Siqueira

We prove existence and uniqueness of equilibrium states for a family of partially hyperbolic systems, with respect to Holder continuous potentials with small variation. The family…

math.DS2015★ 19 cited

Clustering of extreme events created by multiple correlated maxima

Davide Azevedo, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas +1

We consider stochastic processes arising from dynamical systems by evaluating an observable function along the orbits of the system. The novelty is that we will consider observable…

math.DS2015★ 4 cited

(Semi)continuity of the entropy of Sinai probability measures for partially hyperbolic diffeomorphisms

M. Carvalho, P. Varandas

We establish sufficient conditions for the upper semicontinuity and the continuity of the entropy of Sinai probability measures invariant by partially hyperbolic diffeomorphisms an…

math.DS2015★ 8 cited

Construction of heteroclinic networks in

Alexander Lohse, Sofia B. S. D. Castro

We study heteroclinic networks in , made of a certain type of simple robust heteroclinic cycle. In simple cycles all the connections are of saddle-sink type in two-di…

math.DS2015★ 31 cited

Rare Events for the Manneville-Pomeau map

Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mike Todd +1

We prove a dichotomy for Manneville-Pomeau maps : given any point , either the Rare Events Point Processes (REPP), counting the number of exceedances…

math.DS2015★ 4 cited

Dynamics of the birational maps arising from and quivers

Inês Cruz, Helena Mena-Matos, M. Esmeralda Sousa-Dias

The dynamics of the maps associated to and quivers is studied in detail. We show that the corresponding reduced symplectic maps are conjugate to globally periodic maps…

math.DS2015★ 46 cited

Specification properties and thermodynamical properties of semigroup actions

Fagner B. Rodrigues, Paulo Varandas

In the present paper we study the thermodynamical properties of finitely generated continuous subgroup actions. We address a notion of topological entropy and pressure functions th…

math.DS2015

Specification and partial hyperbolicity for flows

Naoya Sumi, Paulo Varandas, Kenichiro Yamamoto

In this article we prove that if a flow exhibits a partially hyperbolic attractor and it has two periodic saddles with different indices, and the stable index of one of them coinci…

math.DS2015★ 25 cited

Extremal dichotomy for uniformly hyperbolic systems

Maria Carvalho, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas +2

We consider the extreme value theory of a hyperbolic toral automorphism showing that if a Hölder observation which is a function of a Euclide…

math.DS2015★ 3 cited

Extreme Value Theory for Piecewise Contracting Maps with Randomly Applied Stochastic Perturbations

D. Faranda, J. -M. Freitas, P. Guiraud +1

We consider globally invertible and piecewise contracting maps in higher dimensions and we perturb them with a particular kind of noise introduced by Lasota and Mackey. We got rand…