Bifurcation and transitional dynamics in three-coupled oscillators with hard type nonlinearity | IEEE Conference Publication | IEEE Xplore

Bifurcation and transitional dynamics in three-coupled oscillators with hard type nonlinearity


Abstract:

In this paper, we investigate various bifurcation and related dynamics of certain periodic attractors in a three-coupled oscillator system with hard type nonlinearity. Th...Show More

Abstract:

In this paper, we investigate various bifurcation and related dynamics of certain periodic attractors in a three-coupled oscillator system with hard type nonlinearity. The periodic attractors exist for comparatively large /spl epsiv/(=parameter showing the degree of nonlinearity), and they disappear via saddle-node (S-N) bifurcation when /spl epsiv/ becomes small. Sometimes, there exist a heteroclinic and a homoclinic cycle near the bifurcation parameter value. In such cases, a quasi-periodic attractor appears generally after the S-N bifurcation. In particular, it presents intermittent phenomenon just after the S-N bifurcation. We clarify the existence of the heteroclinic and homoclinic cycles by drawing an unstable manifold of saddles on the Poincare section, and demonstrate the intermittent phenomenon by simulation.
Date of Conference: 23-26 May 2005
Date Added to IEEE Xplore: 25 July 2005
Print ISBN:0-7803-8834-8

ISSN Information:

Conference Location: Kobe

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