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Difference Equations, Discrete Dynamical Systems and Applications

ICDEA, Barcelona, Spain, July 2012

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Lluís Alsedà i Soler

    1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Cerdanyola del Vallès, Spain

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  2. Jim M. Cushing

    1. Department of Mathematics, University of Arizona, Tucson, USA

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  3. Saber Elaydi

    1. Department of Mathematics, Trinity University, San Antonio, USA

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  4. Alberto A. Pinto

    1. Faculty of Sciences, Department of Mathematics, University of Porto, Porto, Portugal

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Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 180)

Included in the following conference series:

Conference proceedings info: ICDEA 2012.

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Table of contents (22 papers)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. On the Second Order Rational Difference Equation \(x_{n+1}=\beta +\frac{1}{x_n x_{n-1}}\)

    • Aija Anisimova
    Pages 1-14

  3. Moment Vanishing of Piecewise Solutions of Linear ODEs

    • Dmitry Batenkov, Gal Binyamini
    Pages 15-28

  4. Periodic Solutions of the Second Order Quadratic Rational Difference Equation \(x_{n+1}=\frac{\alpha }{(1+x_n)x_{n-1}} \)

    • Inese Bula
    Pages 29-47

  5. Li–Yorke Chaos in Perturbed Rational Difference Equations

    • Francisco Balibrea, Antonio Cascales
    Pages 49-61

  6. Simple Mandelpinski Necklaces for \(z^2 + \lambda /z^2\)

    • Daniel Cuzzocreo, Robert L. Devaney
    Pages 63-72

  7. R&D Dynamics with Asymmetric Efficiency

    • M. Ferreira, J. P. Almeida, B. M. P. M. Oliveira, Alberto A. Pinto
    Pages 73-83

  8. Different Approaches to the Global Periodicity Problem

    • Anna Cima, Armengol Gasull, Víctor Mañosa, Francesc Mañosas
    Pages 85-106

  9. On Bifurcations of Homoclinic Tangencies in Area-Preserving Maps on Non-orientable Manifolds

    • Amadeu Delshams, Marina Gonchenko, Sergey Gonchenko
    Pages 107-125

  10. A Compact Invariant Set for the Ricker Competition Model

    • Göran Högnäs
    Pages 127-134

  11. On a Stochastic Ricker Competition Model

    • Göran Högnäs
    Pages 135-144

  12. A Repeated Strategy for Dumping

    • J. Martins, N. Banik, Alberto A. Pinto
    Pages 145-153

  13. Hypercyclic and Topologically Mixing Properties of Certain Classes of Abstract Time-Fractional Equations

    • Marko Kostić
    Pages 155-170

  14. Periods of Homeomorphisms on Closed Surfaces

    • Juan Luis García Guirao, Jaume Llibre
    Pages 171-178

  15. Polygonal Billiards with Strongly Contractive Reflection Laws: A Review of Some Hyperbolic Properties

    • Gianluigi Del Magno, João Lopes Dias, Pedro Duarte, José Pedro Gaivão, Diogo Pinheiro
    Pages 179-190

  16. Asymptotic Representation of Solutions of Linear Autonomous Difference Equations

    • Hideaki Matsunaga
    Pages 191-199

  17. Translation Arcs and Stability in Two Dimensions

    • Rafael Ortega
    Pages 201-221

  18. Integrated Exponential Functions, the Weyl Fractional Calculus and the Laplace Transform

    • Pedro J. Miana
    Pages 223-236

  19. A QRT-System of Two Order One Homographic Difference Equations: Conjugation to Rotations, Periods of Periodic Solutions, Sensitiveness to Initial Conditions

    • Guy Bastien, Marc Rogalski
    Pages 237-265

  20. Continuous Limit in Dynamics with Choice

    • Lev Kapitanski, Sanja Živanović Gonzalez
    Pages 267-296
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  1. Difference Equations, Discrete Dynamical Systems and Applications

Keywords

About this book

These proceedings of the 18th International Conference on Difference Equations and Applications cover a number of different aspects of difference equations and discrete dynamical systems, as well as the interplay between difference equations and dynamical systems. The conference was organized by the Department of Mathematics at the Universitat Autònoma de Barcelona (UAB) under the auspices of the International Society of Difference Equations (ISDE) and held in Barcelona (Catalonia, Spain) in July 2012. Its purpose was to bring together experts and novices in these fields to discuss the latest developments.

The book gathers contributions in the field of combinatorial and topological dynamics, complex dynamics, applications of difference equations to biology, chaotic linear dynamics, economic dynamics and control and asymptotic behavior, and periodicity of difference equations. As such it is of interest to researchers and scientists engaged in the theory and applications of difference equations and discrete dynamical systems.





Editors and Affiliations

  • Departament de Matemàtiques, Universitat Autònoma de Barcelona, Cerdanyola del Vallès, Spain

    Lluís Alsedà i Soler

  • Department of Mathematics, University of Arizona, Tucson, USA

    Jim M. Cushing

  • Department of Mathematics, Trinity University, San Antonio, USA

    Saber Elaydi

  • Faculty of Sciences, Department of Mathematics, University of Porto, Porto, Portugal

    Alberto A. Pinto

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