The negative side of Chua’s circuit parameter space : stability analysis, period-adding, basin of attraction metamorphoses, and experimental investigation.
No Thumbnail Available
Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
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.
Description
Keywords
Basin boundary metamorphoses, Homoclinic bifurcation, Describing functions
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.