Mosekilde E., Postnov D., Maistrenko Y. Chaotic Synchronization: Applications to Living Systems

World Scientific Publishing Company, 2002. — 440 p.The cooperative behavior of coupled nonhnear oscillators is of interest in connection with a wide variety of different phenomena in physics, engineering, biology, and economics. Networks of coupled nonlinear oscillators have served as models of spatio-temporal pattern formation and simple forms of turbulence. Systems of coupled nonlinear oscillators may be used to explain how different sectors of the economy adjust their individual commodity cycles relative to one another through the exchange of goods and capital units or via aggregate signals in the form of varying interest rates or raw materials prices. Similarly, in the biological sciences it is important to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with each other to produce a coordinated response on a higher organizational level. It is well-known, for instance, that waves of synchronized behavior that propagate across the surface of the heart are essential for the muscle cells to act in unison and produce a regular contraction. Waves of synchronized behavior can also be observed to propagate across the insulin producing beta-cells of the pancreasCoupled 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 Coupled Maps
Interacting Nephrons
Coherence Resonance Oscillators