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On systems governed by two alternating vector fields

Alois KlíčJan Řeháček — 1994

Applications of Mathematics

We investigate the nonautonomous periodic system of ODE’s of the form x ˙ = v ( x ) + r p ( t ) ( w ( x ) - v ( x ) ) , where r p ( t ) is a 2 p -periodic function defined by r p ( t ) = 0 for t 0 , p , r p ( t ) = 1 for t ( p , 2 p ) and the vector fields v and w are related by an involutive diffeomorphism.

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