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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.
Nonlinear Dynamics of Chaotic and Stochastic Systems: Tutorial and Modern Developments Автор: Vadim S. Anishchenko Год: 2007 |
Nonlinear dynamics of chaotic and stochastic systems Автор: Vadim S. Anishchenko Год: 2007 |
Developing Practical Wireless Applications Автор: Dean A. Gratton Год: 2007 |
Orbifold compactifications of string theory Автор: Bailin, Love. Год: 1999 |
Measurement, Control, and Communication Using IEEE 1588 (Advances in Industrial Control) Автор: John C. Eidson Год: 2006 |
Event (synchronization primitive) Год: 2011 |