Side conditions for ordinary differential equations

2014/06/11 by G. Cicogna, Giampaolo Cicogna, Giuseppe Gaeta +6
Computer Science · Mathematics · Physics and Astronomy · #34A05 #34C14 #34C45 #92C45 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Numerical methods for differential equations #Quantum chaos and dynamical systems #math-ph #math.DS #math.MP #msc:34A05 #msc:34C14 #msc:34C45 #msc:92C45

paper · pdf · doi:10.48550/arxiv.1406.4111

To appear in J. of Lie Theory

arxiv created 2014/06/11 · openalex publication_date 2014/06/11 · arxiv updated 2014/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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