11 citations · 54 across the 16 of their papers we have counts for
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math-ph2016★ 1 cited
A Time scales Noether's theorem
Baptiste Anerot, Jacky Cresson, Frédéric Pierret
We prove a time scales version of the Noether's theorem relating group of symmetries and conservation laws. Our result extends the continuous version of the Noether's theorem as we…
math-ph2016★ 1 cited
Scale dynamical origin of modification or addition of potential in mechanics. A possible framework for the MOND theory and the dark matter
Frédéric Pierret
Using our mathematical framework developed in \cite{cresson-pierret_scale} called \emph{scale dynamics}, we propose in this paper a new way of interpreting the problem of adding or…
math.OC2016
Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus
Frédéric Pierret, Delfim F. M. Torres
We derive the Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus. Precisely, we give a theorem characterizing nondifferentia…