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Titlebook: Synchronization; Theory and Applicati Arkady Pikovsky,Yuri Maistrenko Book 2003 Springer Science+Business Media Dordrecht 2003 Counter.Phas

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Basic Principles of Direct Chaotic Communications,modulation methods applicable in direct chaotic schemes. Signal processing in noncoherent and coherent receivers is discussed. The efficiency of direct chaotic communications is investigated by means of numerical simulation. Potential application areas are analyzed, including multiple access systems
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Generalization of the Feigenbaum-Kadanoff-Shenker Renormalization and Critical Phenomena Associatedal behavior are discussed, which may occur at the onset of chaotic or strange nonchaotic attractors via quasiperiodicity at the golden-mean frequency ratio. Parameter space arrangement and respective scaling properties are discussed and illustrated.
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Synchrony in Globally Coupled Chaotic, Periodic, and Mixed Ensembles of Dynamical Units,eneral ensembles of heterogeneous, continuous time dynamical units that, when uncoupled, are chaotic, periodic, or a mixture of both. A discussion of convergence issues, important for the proper implementation of our method, is included. Our work leads to a quantitative prediction for the critical c
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Phase Synchronization of Regular and Chaotic Self-Sustained Oscillators,locking, we extend the notion of phase to autonoumous continuous-time . systems. Using as examples the well-known Lorenz and R ö ssler oscillators, we describe the phase synchronization of chaotic oscillators by periodic external force. Both statistical and topological aspects of this phenomenon are
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