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We investigate the escape behavior of systems governed by the one-dimensional nonlinear Kramers' equation ()W/()t = -v()W/()x + (f'(x)/m)(()W/()v) + γ()(vW)/()v + (γkBT/m)(()2Wμ/()v2), where f(x) is a metastable potential and μ an anomalous expone