[share_ebook] Chaotic Synchronization: Applications to Living Systems (World Scientific Series on Nonlinear Science, 42)


Author: Dmitry Postnov, Erik Mosekilde, Yuri Maistrenko

Date: 2011-03-25

Pages: 440

Publisher: World Scientific Publishing Company

Category: Study

Tag: Physics


Posted on 2011-05-25, by sharebookfree.

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Chaotic Synchronization: Applications to Living Systems (World Scientific Series on Nonlinear Science, 42)


Chaotic Synchronization: Applications to Living Systems (World Scientific Series on Nonlinear Science, 42)
Dmitry Postnov, Erik Mosekilde, Yuri Maistrenko | World Scientific Publishing Company | 2011-03-25 | 440 pages | English | DJVU

Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level.

This book is a guide to the fascinating new concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchronization of coherence resonance oscillators. Other topics treated in the book are on-off intermittency and the role of the absorbing and mixed absorbing areas, periodic orbit threshold theory, the influence of a small parameter mismatch, and different mechanisms for chaotic phase synchronization.

The biological examples include synchronization of the bursting behavior of coupled insulin-producing beta cells, chaotic phase synchronization in the pressure and flow regulation of neighboring functional units of the kidney, and homoclinic transitions to phase synchronization in microbiological reactors.

Contents: Coupled Nonlinear Oscillators; Transverse Stability of Coupled Maps; Unfolding the Riddling Bifurcation; Time-Continuous Systems; Coupled Pancreatic Cells; Chaotic Phase Synchronization; Population Dynamic Systems; Clustering of Globally Maps; Interacting Nephrons; Coherence Resonance Oscillators.


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