Titlebook: Synchronization in Oscillatory Networks; Grigory V. Osipov,Jürgen Kurths,Changsong Zhou Book 2007 Springer-Verlag Berlin Heidelberg 2007 S

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https://doi.org/10.1007/978-3-540-71269-5Synchronisation; complex networks; coupled oscillators; heart muscle; oscillatory networks; synchronizati

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Synchronization in Oscillatory Networks978-3-540-71269-5Series ISSN 0172-7389 Series E-ISSN 2198-333X

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Ensembles of Phase Oscillatorst networks of coupled first-order phase oscillators. This choice is based on the fact that coupled phase oscillators are a basic model for analyzing synchronization processes in large ensembles of oscillatory systems: limit-cycle oscillators (see Chap. 6) and chaotic oscillators (see Chap. 7).

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Intermittent-Like Oscillations in Chains of Coupled Mapstheir corresponding mathematical models are, however, discrete in time, e.g., population dynamics [285, 286], asteroidal motion [287], many systems under external force [288, 289], laser dynamics [290]. Because of that it is important to consider synchronization effects in ensembles of coupled time-discrete elements.

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Networks with Complex Topology extended to the nearest neighbors (local coupling), see Fig. 1.2, or global coupling among all the osicllators (e.g., Sects. 5.5, 10.9, 13.3.3 and 13.3.4). Such simple coupling topology of the oscillators is relevant to many experimental and natural situations.

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