Chaotic Synchronization: Applications to Living Systems (Hardcover) (ISBN-13: 9789810247898)

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.

Author: Yuri L. Maistrenko,Erik Mosekilde,Dmitry Postnov
ISBN-10: 9810247893
ISBN-13: 9789810247898
Publisher: World Scientific Publishing Company
Language: English
Published: 03/08/2002
Pages: 440
Format: Hardcover
Weight: 1.60lbs
Size: 8.50h x 6.00w x 1.10d