Nonlinear singularly perturbed systems of differential equations: A survey
نویسندگان
چکیده
منابع مشابه
Computing singularly perturbed differential equations
A computational tool for coarse-graining nonlinear systems of ordinary differential equations in time is discussed. Three illustrative model examples are worked out that demonstrate the range of capability of the method. This includes the averaging of Hamiltonian as well as dissipative microscopic dynamics whose ‘slow’ variables, defined in a precise sense, can often display mixed slow-fast res...
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Singularly perturbed systems which may not possess a natural coordinate split into slow and fast dynamics are examined. Their limit behavior is depicted as an invariant measure of the fast component drifted by the slow part of the system. Slow observables capture then limit characteristics of the system, and may determine the evolution of the limit invariant measures.
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 1995
ISSN: 1024-123X,1563-5147
DOI: 10.1155/s1024123x95000172