RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES-Reference-Cited by-同舟云学术

RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES

Published:2010-09 Issue:09 Volume:20 Page:2591-2636
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

BALIBREA F.¹,CARABALLO T.²,KLOEDEN P. E.³,VALERO J.⁴

Affiliation:

1. Universidad de Murcia, Departamento de Matemáticas, 30100-Murcia, Spain

2. Universidad de Sevilla, Departamento de Ecuaciones Diferenciales y Análisis Numérico, Apdo. de Correos 1160, 41080-Sevilla, Spain

3. Institut für Mathematik, Goethe-Universität, D-60054 Frankfurt am Main, Germany

4. Universidad Miguel Hernández de Elche, Centro de Investigación Operativa, Avda. Universidad s/n, 03202 Elche Alicante, Spain

Abstract

This paper aims to an present account of some problems considered in the past years in Dynamical Systems, new research directions and also provide some open problems.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127410027246

Reference195 articles.

1. On Lyapunov exponent and sensitivity

2. Topological entropy

3. Combinatorial Dynamics and Entropy in Dimension One

4. An extension of Sharkovsky's theorem to periodic difference equations

5. Attractors for a non-linear parabolic equation modelling suspension flows

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