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- W265789723 abstract "Two oscillators having natural frequencies δ and γ and damping coefficients proportional to -λ are weakly coupled through cubic nonlinearities. As λ is increased through λ c ≡ 0, nonlinear solutions of amplitude ɛ bifurcate. To leading order in ɛ such systems (including the case of coupled van der Pol oscillators) have behaviors governed by the single parameter ρ ∼ 2(δ-γ)/(λ-λ c ). ρ has a critical value ρ c determined by a Josephson-junction equation. For |ρ| > ρ the oscillations are quasiperiodic; the modulations die out in the far-from-resonance case |ρ| → ∞. For |ρ|" @default.
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- W265789723 date "1983-01-01" @default.
- W265789723 modified "2023-09-26" @default.
- W265789723 title "Transitions in Weakly-Coupled Nonlinear Oscillators" @default.
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- W265789723 doi "https://doi.org/10.1016/s0304-0208(08)70967-8" @default.
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