Journal of Lie Theory

no. 1
Side Conditions for Ordinary Differential Equations
Journal of Lie Theory, Volume 25 (2015) no. 1, pp. 125-146
We specialize Olver's and Rosenau's side condition heuristics for the determination of particular invariant sets of ordinary differential equations. It turns out that side conditions of so-called LaSalle type are of special interest. Moreover we put side condition properties of symmetric and partially symmetric equations in a wider context. In the final section we present an application to parameter-dependent systems, in particular to quasi-steady state for chemical reactions.
DOI: 10.5802/jolt.831
Classification: 34A05, 34C14, 34C45, 92C45
Keywords: Invariant set, Lie series, infinitesimal symmetry, quasi-steady state, QSS 
@article{JOLT_2015_25_1_a7,
     author = {G. Cicogna and G. Gaeta and S. Walcher},
     title = {Side {Conditions} for {Ordinary} {Differential} {Equations}},
     journal = {Journal of Lie Theory},
     pages = {125--146},
     year = {2015},
     volume = {25},
     number = {1},
     doi = {10.5802/jolt.831},
     zbl = {1351.34038},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.831/}
}
TY  - JOUR
AU  - G. Cicogna
AU  - G. Gaeta
AU  - S. Walcher
TI  - Side Conditions for Ordinary Differential Equations
JO  - Journal of Lie Theory
PY  - 2015
SP  - 125
EP  - 146
VL  - 25
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.831/
DO  - 10.5802/jolt.831
ID  - JOLT_2015_25_1_a7
ER  - 
%0 Journal Article
%A G. Cicogna
%A G. Gaeta
%A S. Walcher
%T Side Conditions for Ordinary Differential Equations
%J Journal of Lie Theory
%D 2015
%P 125-146
%V 25
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.831/
%R 10.5802/jolt.831
%F JOLT_2015_25_1_a7
G. Cicogna; G. Gaeta; S. Walcher. Side Conditions for Ordinary Differential Equations. Journal of Lie Theory, Volume 25 (2015) no. 1, pp. 125-146. doi: 10.5802/jolt.831

Cited by Sources: