11 citations · 54 across the 16 of their papers we have counts for
5 papers · 1 filter
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…
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…
Multiscale functions, Scale dynamics and Applications to partial differential equations
Jacky Cresson, Frédéric Pierret
Modeling phenomena from experimental data, always begin with a \emph{choice of hypothesis} on the observed dynamics such as \emph{determinism}, \emph{randomness}, \emph{derivabilit…
Dynamics of a rotating ellipsoid with a stochastic flattening
Etienne Behar, Jacky Cresson, Frédéric Pierret
Experimental data suggest that the Earth short time dynamics is related to stochastic fluctuation of its shape. As a first approach to this problem, we derive a toy-model for the m…
The Sharma-Parthasarathy stochastic two-body problem
Jacky Cresson, Frédéric Pierret, Bénédicte Puig
We study the Sharma-Parthasarathy stochastic two-body problem introduced by N. Sharma and H. Parthasarathy in \cite{sharma}. In particular, we focus on the preservation of some fun…