4.5 Article

DEGENERATE HOPF BIFURCATIONS IN CHUA'S SYSTEM

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WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127409023159

关键词

Chua's equations; Lyapunov coefficient; degenerate Hopf bifurcation; limit cycle; chaotic attractor

资金

  1. CNPq [478544/2007-3]
  2. CAPES

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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.

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