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DEGENERATE HOPF BIFURCATIONS IN CHUA'S SYSTEM

Departamento de Matemática, Estatística e Computação, Faculdade de Ciências e Tecnologia — UNESP, Cx. Postal 467, 19060-900, Presidente Prudente, SP, Brazil

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DENIS DE CARVALHO BRAGA

Instituto de Sistemas Elétricos e Energia, Universidade Federal de Itajubá, Avenida BPS, 1303, Pinheirinho, 37.500-903, Itajubá, MG, Brazil

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LUIS FERNANDO MELLO

Instituto de Ciências Exatas, Universidade Federal de Itajubá, Avenida BPS, 1303, Pinheirinho, 37.500-903, Itajubá, MG, Brazil

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https://doi.org/10.1142/S0218127409023159Cited by:23 (Source: Crossref)

Abstract

In this paper we study the local codimension one, two and three Hopf bifurcations which occur in the classical Chua's differential equations with cubic nonlinearity. A detailed analytical description of the regions in the parameter space for which multiple small periodic solutions bifurcate from the equilibria of the system is obtained. As a consequence, a complete answer for the challenge proposed in [Moiola & Chua, 1999] is provided.

Dedicated to Adolfo Washington Guzmán, in memoriam.

Keywords:

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