On systems governed by two alternating vector fields

Klíč, Alois, and Řeháček, Jan. "On systems governed by two alternating vector fields." Applications of Mathematics 39.1 (1994): 57-64. <http://eudml.org/doc/32869>.

@article{Klíč1994,
abstract = {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 $2p$-periodic function defined by $r_\{p\}(t)=0$ for $t\in \langle 0,p\rangle $, $r_\{p\}(t)=1$ for $t\in (p,2p)$ and the vector fields $\vec\{v\}$ and $\vec\{w\}$ are related by an involutive diffeomorphism.},
author = {Klíč, Alois, Řeháček, Jan},
journal = {Applications of Mathematics},
keywords = {periodic system; period map; invariant set; flow; alternating vector fields; involutive diffeomorphism; tabular catalytic reactor; periodic orbits; measure property of bounded invariant sets},
language = {eng},
number = {1},
pages = {57-64},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On systems governed by two alternating vector fields},
url = {http://eudml.org/doc/32869},
volume = {39},
year = {1994},
}

TY - JOUR
AU - Klíč, Alois
AU - Řeháček, Jan
TI - On systems governed by two alternating vector fields
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 1
SP - 57
EP - 64
AB - 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 $2p$-periodic function defined by $r_{p}(t)=0$ for $t\in \langle 0,p\rangle $, $r_{p}(t)=1$ for $t\in (p,2p)$ and the vector fields $\vec{v}$ and $\vec{w}$ are related by an involutive diffeomorphism.
LA - eng
KW - periodic system; period map; invariant set; flow; alternating vector fields; involutive diffeomorphism; tabular catalytic reactor; periodic orbits; measure property of bounded invariant sets
UR - http://eudml.org/doc/32869
ER -