4 citations · 5 across the 5 of their papers we have counts for
12 papers
Stability of heteroclinic cycles: a new approach
Telmo Peixe, Alexandre A. Rodrigues
This paper analyses the stability of cycles within a heteroclinic network lying in a three-dimensional manifold formed by six cycles, for a one-parameter model developed in the con…
Rank-one strange attractors versus Heteroclinic tangles
Alexandre A. P. Rodrigues
We present a mechanism for the emergence of strange attractors (observable chaos) in a two-parameter periodically-perturbed family of differential equations on the plane. The two p…
"Large" strange attractors in the unfolding of a heteroclinic attractor
Alexandre A. P. Rodrigues
In this paper we present a mechanism for the emergence of strange attractors in a one-parameter family of differential equations acting on a 3-dimensional sphere. When the paramete…
Periodic forcing of a heteroclinic network
Isabel S. Labouriau, Alexandre A. P. Rodrigues
We present a comprehensive mechanism for the emergence of rotational horseshoes and strange attractors in a class of two-parameter families of periodically-perturbed differential e…
Dissecting a resonance wedge on heteroclinic bifurcations
Alexandre A. P. Rodrigues
This article studies routes to chaos occurring within a resonance wedge for a 3-parametric family of differential equations acting on a 3-sphere. Our starting point is an autonomou…
Abundance of strange attractors near an attracting periodically-perturbed network
Alexandre A. P. Rodrigues
We study the dynamics of the periodically-forced May-Leonard system. We extend previous results on the field and we identify different dynamical regimes depending on the strength o…