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Multiple scale analysis

Multiple-scale analysis is a global perturbation scheme that is usefulin systems characterized by disparate time scales, such as weakdissipation in an oscillator. These effects could be insignificant on short time scales but become importanton long time scales. Classical perturbation methods generally breakdown because of resonances that lead to what are called secularterms. It should be noted that HMM represents a compromise between accuracyand feasibility, since it requires a preconceived form of themacroscale model to begin with. To see why [...]

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