DECAT - Departamento de Controle e Automação

URI permanente desta comunidadehttp://www.hml.repositorio.ufop.br/handle/123456789/490

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Autor: search.filters.author.Rocha, RonilsonAssunto: search.filters.subject.Describing functions

Resultados da Pesquisa

Agora exibindo 1 - 2 de 2
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    Memristive oscillator based on Chua’s circuit : stability analysis and hidden dynamics.
    (2017) Rocha, Ronilson; Ruthiramoorthy, Jothimurugan; Kathamuthu, Thamilmaran
    This paper presents a theoretical stability analysis of amemristive oscillator derived from Chua’s circuit in order to identify its different dynamics, which are mapped in parameter spaces. Since this oscillator can be represented as a nonlinear feedback system, its stability is analyzed using the method based on describing functions, which allows to predict fixed points, periodic orbits, hidden dynamics, routes to chaos, and unstable states. Bifurcation diagrams and attractors obtained from numerical simulations corroborate theoretical predictions, confirming the coexistence of multiple dynamics in the operation of this oscillator.
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    The negative side of Chua’s circuit parameter space : stability analysis, period-adding, basin of attraction metamorphoses, and experimental investigation.
    (2014) Torricos, Rene Orlando Medrano; Rocha, Ronilson
    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.