The problem of mode locking due to forced magnetic reconnection in rotating cylindrical plasmas is revisited. Forced reconnection is characterized by very large values of the parameter Δ′, which makes the constant-ψ approximation generally inapplicable in the linear and early nonlinear regimes. The nonlinear dynamics of rotating non-constant-ψ islands is distinguished by the persistence of current sheets spanning Y points. Mode locking due to a suddenly imposed error field is discussed. Temporal dynamics and locking thresholds that differ significantly from the predictions of the constant-ψ theory [R. Fitzpatrick and T. C. Hender, Phys. Fluids B 3, 644 (1991)] are obtained. The predictions of the present theory are compared with experimental tokamak observations.
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Wang et al. (1997) studied this question.
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