Chaotic Synchronization: Applications to Living Systems
Erik Mosekilde, Yuri Maistrenko, Dmitry PostnovBooks.org participates in affiliate programs including Bookshop.org and the Amazon Services LLC Associates Program. We may earn a commission from qualifying purchases made through links on this page, at no additional cost to you.
Overview
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.
Synopsis
This book presents and analyzes some of the many fascinating phenomena that arise from the interaction of two or more chaotic oscillators in biological systems, such as the synchronization of the bursting behavior of coupled insulin-producing beta cells. The topics surround the challenging problem of understanding how groups of cells, each behaving in complicated and nonlinear ways, can cooperate to produce coherent responses. Mosekilde (Technical U. of Denmark), Maistrenko (National Academy of Sciences, Ukraine), and Postnov (Saratov State U., Russia) cover topics including coupled nonlinear oscillators, time-continuous systems, population dynamic systems, clustering of globally coupled maps, and interacting nephrons. Annotation ©2003 Book News, Inc., Portland, OR