Structural stability of nonautonomous systems (Q1778246)

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scientific article; zbMATH DE number 2176600
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Structural stability of nonautonomous systems
scientific article; zbMATH DE number 2176600

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    Structural stability of nonautonomous systems (English)
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    17 June 2005
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    The author proves the existence of a {near-identity} time-dependent homeomorphism between a nonautonomous equation \[ \dot{x} = X(t,x) \] and a perturbed system \[ \dot{x} = X(t,x) + Y(t,x), \] which maps solutions of the first equation to solutions of the second equation and vice versa with the inverse.
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    structural stability
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    nonautonomous system
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