Nonlinear Maps and their Applications : Selected Contributions from the NOMA 2013 International Workshop / edited by Ricardo López-Ruiz, Danièle Fournier-Prunaret, Yoshifumi Nishio, Clara Grácio.

Format:

Book

Contributor:

López-Ruiz, Ricardo., Editor.

Fournier-Prunaret, Danièle., Editor.

Nishio, Yoshifumi., Editor.

Grácio, Clara., Editor.

Series:

Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 112

Language:

English

Subjects (All):

System theory.

Differential equations.

Dynamics.

Complex Systems.

Differential Equations.

Dynamical Systems.

Local Subjects:

Complex Systems.

Differential Equations.

Dynamical Systems.

Physical Description:

1 online resource (291 p.)

Edition:

1st ed. 2015.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2015.

Language Note:

English

Summary:

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.

Contents:

Study of a Model for the Distribution of Wealth

Periodic Orbits of Planar Integrable Birational Maps

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

Kinetic Exchange Models in Economics and Sociology

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

Lebesgue Measure of Recurrent Scrambled Sets

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

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

The Importance of the Strategy in Backward Orbits

Minimal Cantor Type Sets on Discrete Dynamical Systems

Piecewise Expanding Maps and Conjugacy Equations

In Search of H-Theorem for Ulam’s Redistribution of Energy Problem

Random Market Models with an H-Theorem

Synchronization and Phase Ordering in Globally Coupled Chaotic Maps

Maximizing a Psychological Uplift in Love Dynamics

From Weak Allee Effect to no Allee Effect in Richards’ Growth Models

Systoles on Compact Riemann Surfaces with Symbolic Dynamics.

Notes:

"The chapters in this volume of the Springer Proceedings in Mathematics & Statistics series, entitled Nonlinear Maps and Their Applications."

Includes bibliographical references at the end of each chapters.

ISBN:

3-319-12328-9