Two-state Markovian theory of input–output frequency and phase synchronization
نویسندگان
چکیده
منابع مشابه
Two-state Markovian theory of input-output frequency and phase synchronization
A Markovian dichotomic system driven by a deterministic time-periodic force is analyzed in terms of the statistical properties of the switching events between the states. The consideration of the counting process of the switching events leads us to define a discrete phase. We obtain expressions for the instantaneous output frequency and phase diffusion associated to the dichotomic process, as w...
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A rigorous mathematical treatment of chaotic phase synchronization is still lacking, although it has been observed in many numerical and experimental studies. In this article we address the extension of results on phase synchronization in periodic oscillators to systems with phase coherent chaotic attractors with small phase diffusion. As models of such systems we consider special flows over di...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2005
ISSN: 0378-4371
DOI: 10.1016/j.physa.2004.12.013