Nonlinear Maps and their Applications

1. Front Matter

   Pages i-x

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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

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.

• Chaos and bifurcation
• Complex systems
• Dynamical networks
• Game theory
• Nonlinear analysis
• Synchronization of systems

• 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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