Please use this identifier to cite or link to this item: http://www.repositorio.ufop.br/jspui/handle/123456789/8727
Title: The negative side of Chua’s circuit parameter space : stability analysis, period-adding, basin of attraction metamorphoses, and experimental investigation.
Authors: Torricos, Rene Orlando Medrano
Rocha, Ronilson
Keywords: Basin boundary metamorphoses
Homoclinic bifurcation
Describing functions
Issue Date: 2014
Citation: TORRICOS, R. O. M.; ROCHA, R. The negative side of Chua’s circuit parameter space: stability analysis, period-adding, basin of attraction metamorphoses, and experimental investigation. Journal of Bifurcation and Chaos in Applied Sciences and Engineering, v. 24, p. 1430025, 2014. Disponível em: <http://www.worldscientific.com/doi/abs/10.1142/S0218127414300250>. Acesso em: 20 jul. 2017.
Abstract: Although Chua’s circuit is one of the most studied nonlinear dynamical systems, its version with negative parameters remains practically untouched. This work reports an interesting and rich dynamic scenery that was hidden in this almost unexplored region. The study is focused on 2D parameter space and presents an analysis of stability based on describing functions. Numerical investigations present a gallery of period-adding cascades and a strong presence of basin boundary metamorphoses. The key to this new scenario is that for negative parameters, Chua’s system does not satisfy the Shilnikov condition and it is shown that the homoclinic orbit organizes the parameter space completely different from as known. The obtained experimental results corroborate with the numerical and theoretical investigations.
URI: http://www.repositorio.ufop.br/handle/123456789/8727
metadata.dc.identifier.uri2: http://www.worldscientific.com/doi/abs/10.1142/S0218127414300250
metadata.dc.identifier.doi: https://doi.org/10.1142/S0218127414300250
ISSN: 1793-6551
Appears in Collections:DECAT - Artigos publicados em periódicos

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