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Dynamical Systems: Theory and Applications

Group “Classical and Quantum Dynamical Systems”

Statistical Properties of Dynamical Systems: Probabilistic methods are used to study limit theorems in the case of deterministic and random dynamical systems, especially the central limit theorem (CLT), the Almost Sure Invariance Principle, the large deviations and the distribution of rare events.
The rate of decay of correlations for non-uniformly hyperbolic systems is estimated through new techniques (coupling, renewal). Random systems (by random composition of maps acting on the same space) and sequential dynamical systems (non-stationary, or non-autonomous, processes where a concatenation of maps act on a space) are also studied. We have formulated and develop the extreme value theory for random and non-autonomous systems and with the extension to coupled map lattices.

Fusion plasma physics : We develop reduced Hamiltonian fluid and kinetic models from Dirac’s constraint theory to investigate fundamental mechanisms of turbulent magnetized plasma that deteriorate the confinement in tokamak devices. Spurious instabilities in non-Hamiltonian hybrid model for interaction of energetic particles with a thermal plasma are also investigated, as well as
secondary instabilities following magnetic reconnection. Another part of the research activity concerns the application of the theory of stochastic processes to study the formation of transport barriers in tokamaks.

Biophysics : We focus on the fundamental physical processes, in particular resonant electrodynamic forces acting at a long distance, which are surmised to be responsible of the high efficiency of the molecular machinery within living cells and long-range coherence in biological systems. This activity is pursued on both theoretical and experimental sides in collaboration with molecular biologists.

Complexity: New methods of measuring networks complexity are developed within the framework of Riemannian Information Geometry. Applications to protein interaction networks in cancer cells are being developed.

Directory of Members

Asch Joachim University faculty
+33.4.91.26.95.20 Email
Aschbacher Walter University faculty
+33.4.91.26.95.16 Email
EL KETTANI Perla University faculty
+33.4.91.26.97.93 Email
Floriani Elena University faculty
+33.4.91.26.95.22 Email
LEBOUAZDA Yohann PhD candidate
Email
Leoncini Xavier University faculty
Référent pôle de recherche interdisciplinaire et intersectoriel AMU - Energie
Chef de l’équipe « Systèmes dynamiques : théories et applications »
+33.4.91.26.95.38 Email
Pettini Marco University faculty
+33.4.91.26.95.49 Email
Vaienti Sandro University faculty
+33.4.91.26.95.44 Email
Vittot Michel Researcher
Chef du Groupe « Systèmes dynamiques classiques et quantiques »
+33.4.91.26.95.24 Email

List of Publications

273 results
Conference paper
S. Ruffenach, M. Lechelon, Y. Meriguet, M. Gori, I. Nardecchia, E. Floriani, D. Coquillat, F. Teppe, S. Mailfert, D. Marguet, P. Ferrier, L. Varani, J. Sturgis, M. Pettini, J. Torres
THz spectroscopy to probe long-range electrodynamic interactions between proteins
2022 47th International Conference on Infrared, Millimeter and Terahertz Waves (IRMMW-THz), Aug 2022, Delft, France. pp.1-2, ⟨10.1109/IRMMW-THz50927.2022.9896089⟩
Preprint, Working paper
Aurélien Cordonnier, Xavier Leoncini, Guilhem Dif-Pradalier, Xavier Garbet
Full Self-Consistent Vlasov-Maxwell Solution
2022
Preprint, Working paper
Elham Faraji, Philip Kurian, Roberto Franzosi, Stefano Mancini, Irena Cosic, Drasko Cosic, Giulio Pettini, Marco Pettini
Electrodynamic forces driving DNA-enzyme interaction at a large distance
2022
Preprint, Working paper
A España, Xavier Leoncini, E Ugalde
Combinatorics of the paths towards synchronization
2022
Journal article
Elena Floriani, Jonathan Dubois, Cristel Chandre
Bogolyubov’s averaging theorem applied to the Kramers-Henneberger Hamiltonian
Physica D: Nonlinear Phenomena, 2022, 431, pp.133124. ⟨10.1016/j.physd.2021.133124⟩
Preprint, Working paper
Sandro Vaienti, Jason Atnip, Gary Froyland, Cecilia González-Tokman
Perturbation formulae for quenched random dynamics with applications to open systems and extreme value theory
2022
Journal article
Gabriele Paolini, Francesco Sarnari, Riccardo Meucci, Stefano Euzzor, Santi Chillemi, Leone Fronzoni, Fortunato Tito Arecchi, Angelo Di Garbo, Jean-Marc Ginoux
A Fast Method for Detecting Interdependence between Time Series and Its Directionality
International journal of bifurcation and chaos in applied sciences and engineering , 2021, 31 (16), pp.2150239. ⟨10.1142/S0218127421502394⟩
Journal article
Arthur Vesperini, Roberto Franzosi, Stefano Ruffo, Andrea Trombettoni, Xavier Leoncini
Fast collective oscillations and clustering phenomena in an antiferromagnetic mean-field model
Chaos, Solitons & Fractals, 2021, 153 (2), pp.111487. ⟨10.1016/j.chaos.2021.111487⟩
Journal article
Jean-Marc Ginoux, Riccardo Meucci, Stefano Euzzor, Angelo Di Garbo
Torus breakdown in a two-stroke relaxation memristor
Chaos, Solitons & Fractals, 2021, 153 (2), pp.111594. ⟨10.1016/j.chaos.2021.111594⟩
Preprint, Working paper
Loris Di Cairano, Riccardo Capelli, Ghofrane Bel-Hadj-Aissa, Pettini Marco
Topological origin of protein folding transition
2021
273 results

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