Nonlinearity induces an exponentially small phase shift in Van der Pol's equation that couples the slow and fast scales in multiple-scale expansions.
1995 Stokes Phenomenon and Matched Asymptotic Expansions.SIAM Journal on Applied Mathematics55, 1469–1483
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On the independence of the slow and fast scales in multiple-scale expansions, with application to Van der Pol's equation
Nonlinearity induces an exponentially small phase shift in Van der Pol's equation that couples the slow and fast scales in multiple-scale expansions.