Nonlinear Dynamics New Directions: Models and Applications

✍ Scribed by Hernán González-Aguilar, Edgardo Ugalde (eds.)

• Publisher: Springer International Publishing
• Year: 2015
• Tongue: English
• Leaves: 243
• Series: Nonlinear Systems and Complexity 12
• Edition: 1
• Category: Library

✦ Synopsis

This book, along with its companion volume, Nonlinear Dynamics New Directions: Theoretical Aspects, covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The first volume is devoted to fundamental aspects and includes a number of important new contributions as well as some review articles that emphasize new development prospects. The topics addressed in the two volumes include a rigorous treatment of fluctuations in dynamical systems, topics in fractal analysis, studies of the transient dynamics in biological networks, synchronization in lasers, and control of chaotic systems, among others.

This book also:

· Develops applications of nonlinear dynamics on a diversity of topics such as patterns of synchrony in neuronal networks, laser synchronization, control of chaotic systems, and the study of transient dynamics in biological

· Includes a study of self-organized regularity in long-range systems

· Explains use of Levenstein's distance for measuring lexical evolution rates

✦ Table of Contents

Front Matter....Pages i-x
Patterns of Synchrony in Neuronal Networks: The Role of Synaptic Inputs....Pages 1-28
On Topological and Hyperbolic Properties of Systems with Homoclinic Tangencies....Pages 29-55
Homoclinic Ω -Explosion: Hyperbolicity Intervals and Their Bifurcation Boundaries....Pages 57-78
Self-Organized Regularity in Long-Range Systems....Pages 79-109
Reducing the Sequential Dynamics of Excitatory Neural Networks to Synaptic Cellular Automata....Pages 111-127
Synchronization of Delayed-Feedback Semiconductor Lasers and Its Application in Optical Communication....Pages 129-155
Transient Dynamics on the Edge of Stability....Pages 157-174
Phase Control of Chaotic Maps....Pages 175-193
Voltage Interval Mappings for an Elliptic Bursting Model....Pages 195-213
Levenshtein’s Distance for Measuring Lexical Evolution Rates....Pages 215-240

✦ Subjects

Complexity; Dynamical Systems and Ergodic Theory; Control