On systems governed by two alternating vector fields

Klíč, Alois; Řeháček, Jan

doi:10.21136/AM.1994.134243

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On systems governed by two alternating vector fields

Klíč, Alois ; Řeháček, Jan

Applications of Mathematics, Tome 39 (1994) no. 1, pp. 57-64.

Voir la notice de l'article dans Czech Digital Mathematics Library

Résumé

We investigate the nonautonomous periodic system of ODE’s of the form

\dot{x} = \vec{v} (x) + r_{p} (t) (\vec{w} (x) - \vec{v} (x))

, where

r_{p} (t)

is a

2 p

-periodic function defined by

r_{p} (t) = 0

for

t \in ⟨ 0, p ⟩

r_{p} (t) = 1

for

t \in (p, 2 p)

and the vector fields

\vec{v}

and

\vec{w}

are related by an involutive diffeomorphism.

MR Zbl

DOI : 10.21136/AM.1994.134243

Classification : 34A34, 34C25, 58F08
Mots-clés : periodic system; period map; invariant set; flow

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Klíč, Alois; Řeháček, Jan. On systems governed by two alternating vector fields. Applications of Mathematics, Tome 39 (1994) no. 1, pp. 57-64. doi : 10.21136/AM.1994.134243. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134243/

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