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Phys. Rev. E 77, 037202 (2008) [4 pages]

Experimental observation of a complex periodic window

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D. M. Maranhão1, M. S. Baptista2, J. C. Sartorelli1, and I. L. Caldas1
1Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970, São Paulo, SP, Brazil
2Max-Planck Institute für Physik komplexer Systeme, Nöthnitzerstrasse 38, D-01187 Dresden, Germany

Received 18 June 2007; revised 9 November 2007; published 20 March 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.77.037202
DOI:
10.1103/PhysRevE.77.037202
PACS:
05.45.Ac, 07.05.Kf