output
19932026
most citedThe Gaia mission

7.1k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2017 · math.DSShow all

9 papers · 2 filters

math.DS2017★ 7 cited

Synchrony Branching Lemma for Regular Networks

Pedro Soares

Coupled cell systems are dynamical systems associated to a network and synchrony subspaces, given by balanced colorings of the network, are invariant subspaces for every coupled ce…

math.DS2017★ 6 cited

The Lifting Bifurcation Problem on Feed-Forward Networks

Pedro Soares

We consider feed-forward networks, that is, networks where cells can be divided into layers, such that every edge targeting a layer, excluding the first one, starts in the prior la…

math.DS2017

Stability of a heteroclinic network and its cycles: a case study from Boussinesq convection

Olga Podvigina, Sofia B. S. D. Castro, Isabel S. Labouriau

This article is concerned with three heteroclinic cycles forming a heteroclinic network in . The stability of the cycles and of the network are studied. The cycles a…

math.DS2017★ 4 cited

Attractors in complex networks

Alexandre A. P. Rodrigues

In the framework of the generalized Lotka Volterra model, solutions representing multispecies sequencial competition can be predictable with high probability. In this paper, we sho…

math.DS2017★ 4 cited

Stability and limit theorems for sequences of uniformly hyperbolic dynamics

A. Castro, F. B. Rodrigues, P. Varandas

In this paper we obtain an almost sure invariance principle for convergent sequences of either Anosov diffeomorphisms or expanding maps on compact Riemannian manifolds and prove an…

math.DS2017★ 7 cited

Complete set of invariants for a Bykov attractor

Maria Carvalho, Alexandre A. P. Rodrigues

In this paper we consider an attracting heteroclinic cycle made by a 1-dimensional and a 2-dimensional separatrices between two hyperbolic saddles having complex eigenvalues. The b…

math.DS2017★ 2 cited

Networks with asymmetric inputs: lattice of synchrony subspaces

Manuela A. D. Aguiar

We consider coupled cell networks with asymmetric inputs and study their lattice of synchrony subspaces. For the particular case of 1-input regular coupled cell networks we describ…

math.DS2017★ 1 cited

Exponential Law for Random Maps on Compact Manifolds

Nicolai Haydn, Jerome Rousseau, Fan Yang

We consider random dynamical systems on manifolds modeled by a skew product which have certain geometric properties and whose measures satisfy quenched decay of correlations at a s…

math.DS2017

Projections of Patterns and Mode Interactions

Sofia B. S. D. Castro, Isabel S. Labouriau, Juliane F. Oliveira

We study solutions of bifurcation problems with periodic boundary conditions, with periods in an -dimensional lattice and their projection into -dimensional space through i…