Experimental observation of a complex periodic window

D. M. Maranhao; Murilo Da Silva Baptista; J. C. Sartorelli; I. L. Caldas

doi:10.1103/PhysRevE.77.037202

Experimental observation of a complex periodic window

D. M. Maranhao, Murilo Da Silva Baptista, J. C. Sartorelli, I. L. Caldas

Physics

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

The existence of a special periodic window in the two-dimensional parameter space of an experimental Chua's circuit is reported. One of the main reasons that makes such a window special is that the observation of one implies that other similar periodic windows must exist for other parameter values. However, such a window has never been experimentally observed, since its size in parameter space decreases exponentially with the period of the periodic attractor. This property imposes clear limitations for its experimental detection.

Original language	English
Article number	037202
Journal	Physical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume	77
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.77.037202
Publication status	Published - Mar 2008

Keywords

parameter space
map
dynamics
chaos

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10.1103/PhysRevE.77.037202

http://link.aps.org/doi/10.1103/PhysRevE.77.037202

Cite this

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title = "Experimental observation of a complex periodic window",

abstract = "The existence of a special periodic window in the two-dimensional parameter space of an experimental Chua's circuit is reported. One of the main reasons that makes such a window special is that the observation of one implies that other similar periodic windows must exist for other parameter values. However, such a window has never been experimentally observed, since its size in parameter space decreases exponentially with the period of the periodic attractor. This property imposes clear limitations for its experimental detection.",

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AU - Maranhao, D. M.

AU - Baptista, Murilo Da Silva

AU - Sartorelli, J. C.

AU - Caldas, I. L.

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KW - parameter space

KW - map

KW - dynamics

KW - chaos

U2 - 10.1103/PhysRevE.77.037202

DO - 10.1103/PhysRevE.77.037202

M3 - Article

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JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

SN - 1539-3755

IS - 3

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Experimental observation of a complex periodic window

Abstract

Keywords

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