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Om Chaotic Synchronization
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 OscillatorsTransverse Stability of Coupled MapsUnfolding the Riddling BifurcationTime-Continuous SystemsCoupled Pancreatic CellsChaotic Phase SynchronizationPopulation Dynamic SystemsClustering of Globally MapsInteracting NephronsCoherence Resonance OscillatorsReadership: Students and researchers interested in applying new concepts of chaotic synchronization and clustering to biological systems.Key Features:This book helps researchers where they routinely struggle: communicating their specialist knowledge. It does so by challenging, guiding, and inspiring them to consider their content, not just as facts to be imparted, but as a narrative to impress audiences and funding bodies with the value of their workThe author is a former BBC science producer who has coached hundreds of PhDs and career scientists to become profoundly better communicators by using the narrative principles which are outlined in this bookThe narrative principles outlined in this book can be applied to all forms of effective communication, from posters to papers, and grant proposals to presentationsIncludes a Foreword by Professor Dame Nancy Rothwell FRS (VC and President of Manchester University)