Geodesic
Side Conditions for Ordinary Differential Equations
Giampaolo Cicogna1 ; Giuseppe Gaeta2 ; Sebastian Walcher3
1Dipartimento di Fisica, Università di Pisa, Largo B. Pontecorvo 3, 56127 Pisa, Italy
2Dipartimento di Matematica, Università degli Studi di Milano, via Saldini 50, 20133 Milano, Italy
3Lehrstuhl A für Mathematik, RWTH Aachen, 52056 Aachen, Germany
Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 125-146

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Giampaolo Cicogna  1   ; Giuseppe Gaeta  2   ; Sebastian Walcher  3

1 Dipartimento di Fisica, Università di Pisa, Largo B. Pontecorvo 3, 56127 Pisa, Italy
2 Dipartimento di Matematica, Università degli Studi di Milano, via Saldini 50, 20133 Milano, Italy
3 Lehrstuhl A für Mathematik, RWTH Aachen, 52056 Aachen, Germany 
Giampaolo Cicogna; Giuseppe Gaeta; Sebastian Walcher. Side Conditions for Ordinary Differential Equations. Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 125-146. http://geodesic.mathdoc.fr/item/JOLT_2015_25_1_a7/
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     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/JOLT_2015_25_1_a7/}
}
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