Geodesic
On time reparametrizations and isomorphisms of impulsive dynamical systems
Krzysztof Ciesielski1
1 Mathematics Institute Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Annales Polonici Mathematici, Tome 84 (2004) no. 1, pp. 1-25.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that for a given impulsive dynamical system there exists an isomorphism of the basic dynamical system such that in the new system equipped with the same impulse function each impulsive trajectory is global, i.e. the resulting dynamics is defined for all positive times. We also prove that for a given impulsive system it is possible to change the topology in the phase space so that we may consider the system as a semidynamical system (without impulses).
DOI : 10.4064/ap84-1-1
Keywords: prove given impulsive dynamical system there exists isomorphism basic dynamical system system equipped impulse function each impulsive trajectory global resulting dynamics defined positive times prove given impulsive system possible change topology phase space may consider system semidynamical system without impulses

Krzysztof Ciesielski 1

1 Mathematics Institute Jagiellonian University Reymonta 4 30-059 Kraków, Poland 
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Krzysztof Ciesielski. On time reparametrizations and isomorphisms
 of impulsive dynamical systems. Annales Polonici Mathematici, Tome 84 (2004) no. 1, pp. 1-25. doi : 10.4064/ap84-1-1. http://geodesic.mathdoc.fr/articles/10.4064/ap84-1-1/

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