Degenerate hope bifurcations in Chua's system
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2009-02-01
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Resumo
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. © 2009 World Scientific Publishing Company.
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Chaotic attractor, Chua's equations, Degenerate Hopf bifurcation, Limit cycle, Lyapunov coefficient, Control nonlinearities, Hopf bifurcation
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International Journal of Bifurcation and Chaos, v. 19, n. 2, p. 497-515, 2009.