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

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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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Controlling Phase Synchronization in Oscillatory Networksement [344], ecological systems [339], or spinal generators of locomotion [345], are only some well-known examples of balanced cooperative oscillatory motion, caused by such a nonlinear coupling. In engineering, nonlinear coupling, is used, for example, in coupled lasers [333, 334] or phase-locked loops (PLL) [57] (see also Sect. 2.5).
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Introductionobjects seek to achieve order and harmony in their behavior, which is a characteristic of synchronization, is a manifestation of the natural tendency to self-organization existing everywhere in nature [1–5, 7–10].
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Synchronization of Two Coupled Systemsresented. Starting with the analysis of chaotic Rössler resp. intermittent chaotic oscillators (Sects. 4.2.1 and 4.2.2), Sect. 4.2.3 is devoted to the investigation of coupled chaotic phase oscillators. Finally (Sect. 4.3) we treat two coupled circle maps as a prototypical discrete in time system.
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Book 2007 of dynamical systems theory. Potential and present applications span a vast spectrum of fields ranging from physics, chemistry, geoscience, through life- and neurosciences to engineering, the economic and the social sciences. This work systematically investigates a large number of oscillatory netwo
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Chains of Coupled Limit-Cycle Oscillatorswhich are consisting of a different number of clusters. Synchronization is observed in a broader range of parameters in a randomly formed chain than in the case of a regular arrangement of oscillators with monotonically varying individual frequencies along the chain.
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Synchronization Due to External Periodic Forcingn [102] and van der Pol [48] were the first to show the possibility of synchronization of triode generator by a weak external periodic signal. Then, external synchronization of self-oscillatory systems was theoretically studied by the Russian physicists Andronov and Vitt [103, 104], Mandelshtam and Papaleksi [105].
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