论文信息 - Symmetric chaos in systems of three and four forced oscillators

Symmetric chaos in systems of three and four forced oscillators

This paper is a presentation of the results from an experimental investigation into the dynamics of three and four symmetrically coupled identical electronic oscillators. The attractors for a variety of different parameter values are displayed, and their structure is explained in terms of dynamical systems theory concepts. The concept of a symmetry-induced collision of chaotic attractors is used to explain abrupt changes in the number and symmetry of the attractors as a parameter is varied.

P. Ashwin

[1] D. Linkens. Nonlinear circuit mode analysis , 1982 .

[2] J. Yorke,et al. Crises, sudden changes in chaotic attractors, and transient chaos , 1983 .

[3] Symmetry-recovering crises of chaos in polarization-related optical bistability , 1984 .

[4] Van Buskirk R,et al. Observation of chaotic dynamics of coupled nonlinear oscillators. , 1985, Physical review. A, General physics.

[5] J. Grasman. Asymptotic Methods for Relaxation Oscillations and Applications , 1987 .

[6] J. Swift,et al. Hopf bifurcation with the symmetry of the square , 1988 .

[7] Martin Golubitsky,et al. Symmetry-increasing bifurcation of chaotic attractors , 1988 .

[8] Tamás Tél,et al. On the symmetry-breaking bifurcation of chaotic attractors , 1989 .

[9] Peter Ashwin,et al. Three identical oscillators with symmetric coupling , 1990 .