Stability of the quasi-periodic and periodic attractors constrained to the hyper-plane in a ring of three-coupled hard-type oscillators | IEEE Conference Publication | IEEE Xplore

Stability of the quasi-periodic and periodic attractors constrained to the hyper-plane in a ring of three-coupled hard-type oscillators


Abstract:

In this paper, we investigate quasi-periodic and periodic attractors constrained on the invariant subspace H in a ring of three coupled oscillators. In H two of three osc...Show More

Abstract:

In this paper, we investigate quasi-periodic and periodic attractors constrained on the invariant subspace H in a ring of three coupled oscillators. In H two of three oscillators are synchronized. We elucidate the stability of the solution in H by calculating average largest transversal Lyapunov exponent, and find the stable region of periodic and quasi-periodic attractors. We also demonstrate intermittency for parameters in which average largest transversal Lyapunov exponent takes a small positive value.
Date of Conference: 02-02 September 2005
Date Added to IEEE Xplore: 31 October 2005
Print ISBN:0-7803-9066-0
Conference Location: Cork, Ireland

References

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