منابع مشابه
Guiding Chaotic Orbits
This report studies chaotic systems with particular emphasis on the recently developed method of E. Ott, C. Grebogi and J. A. Yorke [Ott 1990] (the OGY method) for controlling such systems. Concepts useful in understanding chaos in general are introduced. We can conceptualise chaotic systems as arising from classes of differential equations having particularly intractable solutions sets. Howeve...
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Invariant sets embedded in a chaotic attractor can generate time averages that diier from the average generated by typical orbits on the attractor. Motivated by two diierent topics (namely, controlling chaos and riddled basins of attraction), we consider the question of which invariant set yields the largest (optimal) value of an average of a given smooth function of the system state. We presen...
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We show that the periodic orbits of an area-contracting horseshoe map can be partitioned into subsets of orbits of minimum period k, 2k, 4k, 8k, ..., for some positive integer k. This partition is natural in the following sense: for any parametrized area-contracting map which forms a horseshoe, the orbits in one subset of the partition are contained in a single component of orbits in the full p...
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We consider phase synchronization of chaotic continuous-time oscillator by periodic external force. Phase-locking regions are defined for unstable periodic cycles embedded in chaos, and synchronization is described in terms of these regions. A special flow construction is used to derive a simple discrete-time model of the phenomenon. It allows to describe quantitatively the intermittency at the...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2020
ISSN: 0022-1120,1469-7645
DOI: 10.1017/jfm.2020.595