3 papers
math.DG2026
Local Integrable Symmetries of Diffieties
François Ollivier, Yirmeyahu J. Kaminski
In the framework of diffieties, introduced by Vinogradov, we introduce integrable infinitesimal symmetries and show that they define a one parameter pseudogroup of local diffiety m…
math.DS2025
On the Equilibrium Locus of a Parameterized Dynamical System with Independent First Integrals
Yirmeyahu Kaminski, Pierre Lochak
For a family of dynamical systems with independent first integrals evolving in a compact region of an Euclidean space, we study the equilibrium locus. We show that under mi…
math.OC2019
On Singularities of Flat Affine Systems With States and Controls
Yirmeyahu J. Kaminski, Jean Lévine, François Ollivier
We study the set of intrinsic singularities of flat affine systems with controls and states using the notion of Lie-Bäcklund atlas, previously introduced by the authors.…