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 …

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 …

Let\varphi be a primitive, non-periodic substitution. The tiling space\mathcal {T} _\varphi has
a finite (non-zero) number of asymptotic composants. We describe the form and make use of …

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 …

This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The
conceptual kernel is a self-contained abstract counterpart of connected quadratic Julia sets …

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

We describe homotopy classes of self-homeomorphisms of solenoids and Knaster continua.
In particular, we demonstrate that homeomorphisms within one homotopy class have the …

Inverse limit spaces of post - crit ically finite tent maps Page 1 <noindent FUNDAME NTA <noindent
MATHEMATICAE <centerline 11 6 5 ( 2 0 ) l <centerline1 Inverse limit <quad spaces of post …

D. Ruelle and I. Putnam have constructed three C*-algebras from the homoclinic and
heteroclinic structure of a Smale space. This paper gives gives a complete description of …

In this work, we develop shape expansions of minimal matchbox manifolds without
holonomy, in terms of branched manifolds formed from their leaves. Our approach is based …