CHAOTIC SYNCHRONIZATION: APPLICATIONS TO LIVING SYSTEMS by Erik Mosekilde (The Technical University of Denmark), Yuri Maistrenko (National Academy of Sciences, Ukraine), and Dmitry Postnov (Saratov State University, Russia)
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 provides first hand guidance to the fascinating new concepts of chaotic synchronization. The topics covered by the book 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 Logistic Maps; Unfolding the Riddling Bifurcation; Time-Continuous Systems; Coupled Pancreatic Cells; Chaotic Phase Synchronization; Population Dynamic Systems; Clustering of Globally Coupled Maps; Interacting Nephrons; The Influence of Noise.
Readership: Students and researchers interested in applying the new concepts of chaotic synchronization and clustering to physical, technical, economic, and biological systems.
430 pp Published Spring 2002
981-02-4789-3 US$76 £52
World Scientific, Singapore