On time reparametrizations and isomorphisms of impulsive dynamical systems

Krzysztof Ciesielski. "On time reparametrizations and isomorphisms of impulsive dynamical systems." Annales Polonici Mathematici 84.1 (2004): 1-25. <http://eudml.org/doc/281027>.

@article{KrzysztofCiesielski2004,
abstract = {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).},
author = {Krzysztof Ciesielski},
journal = {Annales Polonici Mathematici},
keywords = {impulsive dynamical system; time reparametrization; isomorphism of dynamical systems; flow; section; impulse; metrizability; continuity; escape time},
language = {eng},
number = {1},
pages = {1-25},
title = {On time reparametrizations and isomorphisms of impulsive dynamical systems},
url = {http://eudml.org/doc/281027},
volume = {84},
year = {2004},
}

TY - JOUR
AU - Krzysztof Ciesielski
TI - On time reparametrizations and isomorphisms of impulsive dynamical systems
JO - Annales Polonici Mathematici
PY - 2004
VL - 84
IS - 1
SP - 1
EP - 25
AB - 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).
LA - eng
KW - impulsive dynamical system; time reparametrization; isomorphism of dynamical systems; flow; section; impulse; metrizability; continuity; escape time
UR - http://eudml.org/doc/281027
ER -