Nonlinear Maps and their Applications: Selected Contributions from the NOMA 2011 International Workshop

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Clara Grácio, Daniele Fournier-Prunaret, Tetsushi Ueta, Yoshifumi Nishio
Springer Science & Business Media, Feb 18, 2014 - Mathematics - 166 pages
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.
 

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Contents

Renormalization of Circle Diffeomorphism Sequencesand Markov Sequences
1
Examples of Lyapunov Exponents in TwoDimensional Systems
9
Characteristics of the Explosive Percolation Transition
17
Controlled Markovian Dynamics of Graphs Unbiased Generation of Random Graphs with Prescribed Topological Properties
25
A Case Leading to Rationality of the Drift
35
Remarks on the Nonwandering Set of Skew Productswith a Closed Set of Periodic Points of the Quotient Map
39
Green Route Planner
59
Families of Hyperbolic Lorenz Knots
69
Independence Test of Chaotic Sequences
95
Stability Transformation Method for Unstable Periodic Orbits and Its Realization
109
Lorenz Attractors and GeneralizationsGeometric and Topological Aspects
120
A Nonlinear Map for the Decay to Equilibrium of Ideal Gases
133
On the Dynamics of a Cubic padic Polynomial
141
A Dynamical Approach to Congruences Linking Circle Maps and Aperiodic Necklaces
149
Complex Patterns in a Chain of Coupled Maps Basedon a Neuron Model with Space and TimeVarying Couplings
155
Copyright

Cycle Statistics in Complex Networksand Iharas Zeta Function
81

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