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

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...

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Bibliographic Details
Main Authors: Shimizu, K., Endo, T., Matsumoto, N.
Format: Conference Proceeding
Language:English
Subjects:
Bifurcation
Couplings
Frequency
Joining processes
Nonlinear dynamical systems
Nonlinear equations
Voltage-controlled oscillators
Online Access:Request full text
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Summary: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.
ISSN:0271-4302
2158-1525
DOI:10.1109/ISCAS.2005.1465358