Symmetry Breaking and Recovering in a System of n Hybridly Coupled Oscillators (Special Section on Nonlinear Theory and its Applications)

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概要

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• We consider a ring of n Rayleigh oscillators coupled hybridly. Using the symmetrical property of the system we demonstrate the degeneracy of the Hopf bifurcation of the equilibrium at the origin. The degeneracy implies the existence and stability of the n-phase oscillation. We discuss some consequences of the perturbation of the symmetry. Then we study the case n = 3. We show the bifurcation diagram of the equilibria and of the periodic solutions. Especially, we analyze the mechanism for the symmetry breaking bifurcation of the fully symmetric solution. We report and explain the occurrence of both chaotic attracts and repellors and show two types of symmetry recovering crisis they undergo.

• 社団法人電子情報通信学会の論文
• 1996-10-25

著者

• Kawakami Hiroshi

  The Faculty Of Engineering The University Of Tokushima

• PAPY Olivier

  the G.E.S.N.L.A., L.E.S.I.A.,D.G.E., I.N.S.A.T.

• Papy Olivier

  The G.e.s.n.l.a. L.e.s.i.a. D.g.e. I.n.s.a.t.

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