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 -