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Nonlinear Maps and their Applications

Selected Contributions from the NOMA 2011 International Workshop

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Clara Grácio

    1. Colégio Luís António Verney, University of Évora CIMA-UE, Évora, Portugal

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  2. Daniele Fournier-Prunaret

    1. LAAS-INSA, Toulouse, France

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  3. Tetsushi Ueta

    1. Tokushima University, Tokushima, Japan

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  4. Yoshifumi Nishio

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

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  • Explores new ideas in dynamical systems, nonlinear analysis and dynamical networks
  • Brings together key researchers from different fields and backgrounds ????
  • Offers an interdisciplinary look at the topic from many angles ?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 57)

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Table of contents (16 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Renormalization of Circle Diffeomorphism Sequences and Markov Sequences

    • João P. Almeida, Alberto A. Pinto, David A. Rand
    Pages 1-8

  3. Examples of Lyapunov Exponents in Two-Dimensional Systems

    • Francisco Balibrea, M. Victoria Caballero
    Pages 9-15

  4. Characteristics of the Explosive Percolation Transition

    • R. A. da Costa, S. N. Dorogovtsev, A. V. Goltsev, J. F. F. Mendes
    Pages 17-24

  5. Controlled Markovian Dynamics of Graphs: Unbiased Generation of Random Graphs with Prescribed Topological Properties

    • E. S. Roberts, A. Annibale, Anthony C. C. Coolen
    Pages 25-34

  6. A Case Leading to Rationality of the Drift

    • Gastão Bettencourt
    Pages 35-38

  7. Remarks on the Nonwandering Set of Skew Products with a Closed Set of Periodic Points of the Quotient Map

    • Lyudmila S. Efremova
    Pages 39-58

  8. Green Route Planner

    • João Ferreira
    Pages 59-68

  9. Families of Hyperbolic Lorenz Knots

    • Paulo Gomes, Nuno Franco, Luís Silva
    Pages 69-80

  10. Cycle Statistics in Complex Networks and Ihara’s Zeta Function

    • Clara Grácio, Anthony C. C. Coolen, Alessia Annibale
    Pages 81-94

  11. Independence Test of Chaotic Sequences

    • Zouhair Ben Jemaa, Daniele Fournier-Prunaret, Safya Belghith
    Pages 95-108

  12. Stability Transformation Method for Unstable Periodic Orbits and Its Realization

    • Yuki Kawai, Tadashi Tsubone
    Pages 109-119

  13. Lorenz Attractors and Generalizations: Geometric and Topological Aspects

    • Natalia Klinshpont
    Pages 121-132

  14. A Nonlinear Map for the Decay to Equilibrium of Ideal Gases

    • Ricardo López-Ruiz, Elyas Shivanian
    Pages 133-140

  15. On the Dynamics of a Cubic p-adic Polynomial

    • Sérgio Mendes
    Pages 141-148

  16. A Dynamical Approach to Congruences: Linking Circle Maps and Aperiodic Necklaces

    • Cristina Serpa, Jorge Buescu
    Pages 149-154

  17. Complex Patterns in a Chain of Coupled Maps Based on a Neuron Model with Space and Time-Varying Couplings

    • Yoko Uwate, Yoshifumi Nishio
    Pages 155-166
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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 2011) held in Évora, Portugal, on September 15-16, 2011. 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

  • Colégio Luís António Verney, University of Évora CIMA-UE, Évora, Portugal

    Clara Grácio

  • LAAS-INSA, Toulouse, France

    Daniele Fournier-Prunaret

  • Tokushima University, Tokushima, Japan

    Tetsushi Ueta

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

    Yoshifumi Nishio

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