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Nonlinear Maps and their Applications

Selected Contributions from the NOMA 2013 International Workshop

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Ricardo López-Ruiz

    1. Facultad de Ciencias, Universidad de Zaragoza, Spain

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    You can also search for this editor in PubMed   Google Scholar

  2. Danièle Fournier-Prunaret

    1. Université de Toulouse, LAAS-CNRS, INSA, Toulouse, France

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  3. Yoshifumi Nishio

    1. Department of E.E. Eng., Tokushima University, Japan

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  4. Clara Grácio

    1. Department of Mathematics, University of Évora, CIMA-UE, Évora, Portugal

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  • Features latest research in the field of nonlinear maps
  • Applies theoretical insights to the fields of Engineering, Physics, Biology, and Economics
  • Explores specific behaviors and bifurcations within nonlinear systems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 112)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Study of A Model for the Distribution of Wealth

    • Yves Pomeau, Ricardo López-Ruiz
    Pages 1-12

  3. Periodic Orbits of Planar Integrable Birational Maps

    • Imma Gálvez-Carrillo, Víctor Mañosa
    Pages 13-36

  4. Discrete-Time Modelling of Sigma-Delta Inspired Systems for MEMS

    • E. Blokhina, P. Giounanlis, M. Dominguez-Pumar, S. Gorreta, J. Pons-Nin, O. Feely
    Pages 37-67

  5. Kinetic Exchange Models in Economics and Sociology

    • Sanchari Goswami, Anirban Chakraborti
    Pages 69-88

  6. Nonlinear Maps: From the Toulouse Colloqium (1973) to NOMA’13

    • Christian Mira
    Pages 89-113

  7. Lebesgue Measure of Recurrent Scrambled Sets

    • Marek Lampart
    Pages 115-125

  8. On the Concept of Integrability for Discrete Dynamical Systems. Investigation of Wandering Points of Some Trace Map.

    • S. S. Bel’mesova, L. S. Efremova
    Pages 127-158

  9. Discrete Maps and the Problem of Round Trip Time Scale Nonlinear Dynamics in Solid-State Lasers

    • M. V. Gorbunkov, Yu. Ya. Maslova, V. A. Petukhov, M. A. Semenov, Yu. V. Shabalin
    Pages 159-170

  10. The Importance of the Strategy in Backward Orbits

    • Carmen Pellicer-Lostao, Ricardo López-Ruiz
    Pages 171-181

  11. Minimal Cantor Type Sets on Discrete Dynamical Systems

    • Francisco Balibrea
    Pages 183-191

  12. Piecewise Expanding Maps and Conjugacy Equations

    • Cristina Serpa, Jorge Buescu
    Pages 193-202

  13. In Search of H-theorem for Ulam’s Redistribution of Energy Problem

    • Sergey M. Apenko
    Pages 203-213

  14. Random Market Models with an H-Theorem

    • R. López-Ruiz, E. Shivanian, J. L. López
    Pages 215-226

  15. Synchronization and Phase Ordering in Globally Coupled Chaotic Maps

    • O. Alvarez-Llamoza, M. G. Cosenza
    Pages 227-239

  16. Maximizing a Psychological Uplift in Love Dynamics

    • Malay Banerjee, Anirban Chakraborti, Jun-ichi Inoue
    Pages 241-252

  17. From Weak Allee Effect to No Allee Effect in Richards’ Growth Models

    • J. Leonel Rocha, Abdel-Kaddous Taha, D. Fournier-Prunaret
    Pages 253-267

  18. Systoles on Compact Riemann Surfaces with Symbolic Dynamics

    • Clara Grácio
    Pages 269-288
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Keywords

About this book

In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as engineering, economics, biology, or can also be obtained via numerical methods permitting to solve non-linear differential equations. In both cases, the understanding of specific dynamical behaviors and phenomena is of the greatest interest for scientists. This volume contains papers that were presented at the International Workshop on Nonlinear Maps and their Applications (NOMA 2013) held in Zaragoza, Spain, on September 3-4, 2013. This kind of collaborative effort is of paramount importance in promoting communication among the various groups that work in dynamical systems and networks in their research theoretical studies as well as for applications. This volume is suitable for graduate students as well as researchers in the field.

Editors and Affiliations

  • Facultad de Ciencias, Universidad de Zaragoza, Spain

    Ricardo López-Ruiz

  • Université de Toulouse, LAAS-CNRS, INSA, Toulouse, France

    Danièle Fournier-Prunaret

  • Department of E.E. Eng., Tokushima University, Japan

    Yoshifumi Nishio

  • Department of Mathematics, University of Évora, CIMA-UE, Évora, Portugal

    Clara Grácio

Bibliographic Information

  • Book Title: Nonlinear Maps and their Applications

  • Book Subtitle: Selected Contributions from the NOMA 2013 International Workshop

  • Editors: Ricardo López-Ruiz, Danièle Fournier-Prunaret, Yoshifumi Nishio, Clara Grácio

  • Series Title: Springer Proceedings in Mathematics & Statistics

  • DOI: https://doi.org/10.1007/978-3-319-12328-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-12327-1Published: 25 March 2015

  • Softcover ISBN: 978-3-319-35273-2Published: 05 October 2016

  • eBook ISBN: 978-3-319-12328-8Published: 11 March 2015

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: XI, 288

  • Number of Illustrations: 20 b/w illustrations, 52 illustrations in colour

  • Topics: Complex Systems, Ordinary Differential Equations, Dynamical Systems and Ergodic Theory

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