[KİTAP][B] Some aspects of topological transitivity—a survey

S Kolyada, Ľ Snoha - 1997 - conferences.math.slu.cz
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 …

[KİTAP][B] Chaos on the Interval

S Ruette - 2017 - books.google.com
The aim of this book is to survey the relations between the various kinds of chaos and
related notions for continuous interval maps from a topological point of view. The papers on …

[KİTAP][B] Topological dynamical systems: an introduction to the dynamics of continuous map**s

J Vries - 2014 - books.google.com
There is no recent elementary introduction to the theory of discrete dynamical systems that
stresses the topological background of the topic. This book fills this gap: it deals with this …

On chaotic set-valued discrete dynamical systems

A Fedeli - Chaos, Solitons & Fractals, 2005 - Elsevier
On chaotic set-valued discrete dynamical systems - ScienceDirect Skip to main contentSkip to
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Routes to chaos in macroeconomic theory

O Gomes - Journal of Economic Studies, 2006 - emerald.com
Purpose–The purpose of this paper is to survey literature on macroeconomic nonlinear
dynamics. Design/methodology/approach–The paper identifies five influential types of …

Chaos in hyperspaces of nonautonomous discrete systems

I Sánchez, M Sanchis, H Villanueva - Chaos, Solitons & Fractals, 2017 - Elsevier
We study the interaction of some dynamical properties of a nonautonomous discrete
dynamical system (X, f∞) and its induced nonautonomous discrete dynamical system (K (X) …

[HTML][HTML] Sensitive dependence for nonautonomous discrete dynamical systems

A Miralles, M Murillo-Arcila, M Sanchis - Journal of Mathematical Analysis …, 2018 - Elsevier
Given a nonautonomous discrete dynamical system (NDS)(X, f 1,∞) we show that transitivity
and density of periodic points do not imply sensitivity in general, ie, in the definition of …

The large deviations theorem and ergodic sensitivity

R Li - Communications in Nonlinear Science and Numerical …, 2013 - Elsevier
Let (X, d) be a nontrivial compact metric space and f: X→ X a continuous map. In this paper,
we introduce the concept of ergodic sensitivity, which is a stronger form of sensitivity. It is …

Chaos for multivalued maps and induced hyperspace maps

J Andres - Chaos, Solitons & Fractals, 2020 - Elsevier
Let (X, d) be a compact metric space and φ: X⊸ X be a multivalued map. At first, we will
extend for these maps the notions of a topological entropy and Robinson's chaos from a …

A note on the uniform limit of transitive dynamical systems

A Fedeli, A Le Donne - … of the Belgian Mathematical Society-Simon …, 2009 - projecteuclid.org
A note on the uniform limit of transitive dynamical systems Page 1 A note on the uniform limit
of transitive dynamical systems Alessandro Fedeli ∗ Attilio Le Donne Abstract In this note we …