This volume studies the dynamics of iterated holomorphic map**s from a Riemann
surface to itself, concentrating on the classical case of rational maps of the Riemann sphere …

Rigidity is a fundamental phenomenon in hyperbolic geometry and holomorphic dynamics.
Its meaning is that the metric properties of certain manifolds or dynamical systems are …

This is intended as a survey article on topological transitivity of a dynamical system given by
a continuous selfmap of a compact metric space. On one hand it introduces beginners to the …

We survey recent results in one-dimensional dynamics and, as an application, we derive
rigorous basic dynamical facts for two standard models in population dynamics, the Ricker …

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 …

Local Connectivity of the Julia Set of Real Polynomials Page 1 Annals of Mathematics, 147 (1998),
471-541 Local connectivity of the Julia set of real polynomials By GENADI LEVIN and …

Spiral waves are striking self-organized coherent structures that organize spatio-temporal
dynamics in dissipative, spatially extended systems. In this paper, we provide a conceptual …

We consider smooth multimodal maps which have finitely many non-flat critical points. We
prove the existence of real bounds. From this we obtain a new proof for the non-existence of …

Equilibrium states for S-unimodal maps Page 1 Ergod. Th. & Dynam. Sys. (1998), 18, 765–789
Printed in the United Kingdom c 1998 Cambridge University Press Equilibrium states for S-unimodal …

For a discrete dynamical system given by a compact Hausdorff space X and a continuous
selfmap f of X the connection between minimality, invertibility and openness of f is …