TY - JOUR

T1 - Remarks on multi-frequency oscillations in symmetrically coupled oscillators

AU - Armbruster, Hans

AU - Chossat, Pascal

N1 - Funding Information:
us to power systemsa nd for Figs. 1 and 2. Ian Stewart pointed us to Ref. [ 81 which simplified and extendend our results considerably. This work was supported by NATO through a travel grant and by NSF through DMS 9501077.

PY - 1999/4/19

Y1 - 1999/4/19

N2 - Coupled nonlinear oscillators that lead to oscillations where one oscillator oscillates with frequencies that are integer multiples of all other oscillators are analyzed. It is shown that oscillations with multiple frequencies < n occur in systems of n identical and symmetrically coupled oscillators (Sn symmetry). Solutions with n-fold frequencies occur for systems of n identical oscillators symmetrically coupled to each other and to one additional different oscillator.

AB - Coupled nonlinear oscillators that lead to oscillations where one oscillator oscillates with frequencies that are integer multiples of all other oscillators are analyzed. It is shown that oscillations with multiple frequencies < n occur in systems of n identical and symmetrically coupled oscillators (Sn symmetry). Solutions with n-fold frequencies occur for systems of n identical oscillators symmetrically coupled to each other and to one additional different oscillator.

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U2 - 10.1016/S0375-9601(99)00118-8

DO - 10.1016/S0375-9601(99)00118-8

M3 - Comment/debate

AN - SCOPUS:0041778958

SN - 0375-9601

VL - 254

SP - 269

EP - 274

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5

ER -