Geodesic
Side Conditions for Ordinary Differential Equations
Journal of Lie theory, Tome 25 (2015) no. 1, pp. 125-146
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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.
Classification : 34A05, 34C14, 34C45, 92C45
Mots-clés : Invariant set, Lie series, infinitesimal symmetry, quasi-steady state, QSS 
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     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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2015_25_1_JLT_2015_25_1_a7/}
}
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G. Cicogna; G. Gaeta; S. Walcher. Side Conditions for Ordinary Differential Equations. Journal of Lie theory, Tome 25 (2015) no. 1, pp. 125-146. http://geodesic.mathdoc.fr/item/JLT_2015_25_1_JLT_2015_25_1_a7/