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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
Bui Olivier PhD candidate
Email
CHEEMA Ammar Sabir PhD candidate
Email
CORDONNIER Aurélien PhD candidate
Email
DELLIAUX Stephane Guest
Email
ESPANA Andrea PhD candidate
Email
FARAJI Elham PhD candidate
Email
Floriani Elena University faculty
+33.4.91.26.95.22 Email
Gori Matteo Postdoctoral researcher
Email
Lechelon Mathias Postdoctoral researcher
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

223 results
Preprint, Working paper
Théophile Caby
An observer-based referential that is consistent with cosmological observations
2020
Preprint, Working paper
Ana Cristina Moreira Freitas, Jorge Freitas, Mário Magalhães, Sandro Vaienti
Point processes of non stationary sequences generated by sequential and random dynamical systems
2020
Preprint, Working paper
Nicolai Haydn, Sandro Vaienti
Limiting entry times distribution for arbitrary null sets SETS
2020
Preprint, Working paper
P Giulietti, P Koltai, Sandro Vaienti
Targets and Holes
2020
Preprint, Working paper
Michele Gianfelice, Sandro Vaienti
Stochastic stability of the classical Lorenz flow under impulsive type forcing
2020
Journal article
Th Caby, D. Faranda, Sandro Vaienti, P. Yiou
On the Computation of the Extremal Index for Time Series
Journal of Statistical Physics, Springer Verlag, In press, ⟨10.1007/s10955-019-02423-z⟩
Thesis
Theophile Caby
Théorie des valeurs extrêmes pour systèmes dynamiques, avec applications au climat et en neurosciences
Mathematics [math]. Université de Toulon Sud; Universita dell'Insubria, 2019. English
Journal article
Loris Di Cairano, Matteo Gori, Marco Pettini
Description cohérente en géométrie Riemannienne de l'ordre hamiltonien et du chaos avec métrique de Jacobi
Chaos, American Institute of Physics, 2019, 29 (12), pp.123134. ⟨10.1063/1.5119797⟩
Journal article
Theophile Caby, Davide Faranda, Giorgio Mantica, Sandro Vaienti, Pascal Yiou
Generalized dimensions, large deviations and the distribution of rare events
Physica D: Nonlinear Phenomena, Elsevier, 2019, 400, pp.132143. ⟨10.1016/j.physd.2019.06.009⟩
Conference paper
Yoann Meriguet, Jeremie Torres, Mathias Lechelon, Matteo Gori, Ilaria Nardecchia, Frederic Teppe, Anastasiia Kudashova, Dominique Coquillat, Luca Varani, Marco Pettini
Collective oscillations of proteins proven by terahertz spectroscopy in aqueous medium
2019 44th International Conference on Infrared, Millimeter, and Terahertz Waves (IRMMW-THz), Sep 2019, Paris, France. pp.1-2, ⟨10.1109/IRMMW-THz.2019.8873880⟩
223 results

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