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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

Aschbacher Walter University faculty
+33.4.91.26.95.16 Email
Bui Olivier PhD candidate
Email
Caby Théophile PhD candidate
Email
Delliaux Stéphane Guest
Email
Floriani Elena University faculty
+33.4.91.26.95.22 Email
Ghoudi Hamza PhD candidate
Email
Gori Matteo Postdoctoral researcher
Email
Lechelon Mathias Postdoctoral researcher
Email
Leoncini Xavier University faculty
Référent pôle de recherche interdisciplinaire et intersectoriel AMU - Energie
+33.4.91.26.95.38 Email
Maestri Stefano PhD candidate
Email
Pettini Marco University faculty
Chef de l’équipe « Systèmes dynamiques : théories et applications »
+33.4.91.26.95.24 Email
Rejeiba Tarek PhD candidate
Email
Vaienti Sandro University faculty
+33.4.91.26.95.44 Email
Valvo Lorenzo PhD candidate
Email
Vittot Michel Researcher
Chef du Groupe « Systèmes dynamiques classiques et quantiques »
+33.4.91.26.95.24 Email
Wang Tianbo PhD candidate
Email

List of Publications

201 results
Journal article
Yoshiyuki Y. Yamaguchi, Shun Ogawa
Conditions for predicting quasistationary states by rearrangement formula
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 92 (4), pp.042131 〈10.1103/PhysRevE.92.042131〉
Journal article
Jordane Preto, Marco Pettini, Jack Tuszynski
Possible role of electrodynamic interactions in long-distance biomolecular recognition
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 91 (5), pp.052710. 〈10.1103/PhysRevE.91.052710〉
Journal article
Emanuela Merelli, Marco Pettini, Mario Rasetti
Topology driven modeling: the IS metaphor
Natural Computing, Springer Verlag, 2015, 14 (3), pp.421-430. 〈10.1007/s11047-014-9436-7〉
Journal article
M Lingam, Philip Morrison, E Tassi
Inertial magnetohydrodynamics
Physics Letters A, Elsevier, 2015, 379, pp.570 - 576. 〈10.1016/j.physleta.2014.12.008〉
Journal article
Romain Aimino, Matthew Nicol, Sandro Vaienti
Annealed and Quenched Limit Theorems for Random Expanding Dynamical Systems
Probability Theory and Related Fields, Springer Verlag, 2015, 162 (1), pp.233-274. 〈10.1007/s00440-014-0571-y〉
Preprint, Working paper
Aurore Back, Eric Sonnendrücker
SPLINE DISCRETE DIFFERENTIAL FORMS AND A NEW FINITE DIFFERENCE DISCRETE HODGE OPERATOR
2014
Conference paper
Matteo Rucco, Filippo Castiglione, Emanuela Merelli, Marco Pettini
Characterisation of the idiotypic immune network through persistent entropy
European Conference on Complex Systems (ECCS14), Sep 2014, Lucca, Italy. Springer Proceedings in Complexity, pp.117-128, 2016, Proceedings of ECCS 2014. 〈10.1007/978-3-319-29228-1_11〉
Journal article
Maxime Perin, Cristel Chandre, Philip Morrison, Emanuele Tassi
Higher order Hamiltonian fluid reduction of Vlasov equation
Annals of Physics, Elsevier Masson, 2014, 348, pp.50. 〈10.1016/j.aop.2014.05.011〉
Journal article
Emanuele Tassi
Hamiltonian structure of a drift-kinetic model and Hamiltonian closures for its two-moment fluid reductions
The European Physical Journal D, EDP Sciences, 2014, 68, pp.196
Journal article
Cesare Tronci, Emanuele Tassi, Enrico Camporeale, Philip Morrison
Hybrid Vlasov-MHD models: Hamiltonian vs. non-Hamiltonian
Plasma Physics and Controlled Fusion, IOP Publishing, 2014, 56, pp.095008
201 results

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