Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …

A weak solenoid is a foliated space defined as the inverse limit of finite coverings of a closed
compact manifold $ M $. The monodromy of a weak solenoid defines an equicontinuous …

In this work, we investigate the dynamical and geometric properties of weak solenoids, as
part of the development of a “calculus of group chains” associated to Cantor minimal actions …

We prove that a homogeneous matchbox manifold is homeomorphic to a McCord solenoid,
thereby proving a strong version of a conjecture of Fokkink and Oversteegen, which is a …

This book is a comprehensive collection of known results about the Lozi map, a piecewise-
affine version of the Henon map. Henon map is one of the most studied examples in …

A (generalized) weak solenoid is an inverse limit space over manifolds with bonding maps
that are covering maps. If the covering maps are regular, then we call the inverse limit space …

This paper consists of two parts. The first, which is devoted to presenting results of Barge
and Watkins, connects the closure of the union of the unstable manifolds of certain" Smale …

In this work, we study minimal equicontinuous actions which are locally quasi-analytic. The
first main result shows that for minimal equicontinuous actions which are locally quasi …

Matchbox manifolds are foliated spaces with totally disconnected transversals. Two
matchbox manifolds which are homeomorphic have return equivalent dynamics, so that …

Abstract top We discuss the inverse limit spaces of unimodal interval maps as topological
spaces. Based on the combinatorial properties of the unimodal maps, properties of the …