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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
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
Maestri Stefano PhD candidate
Email
Pettini Marco University faculty
+33.4.91.26.95.24 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

202 results
Journal article
M Perin, Cristel Chandre, P.J. Morrison, E Tassi
Hamiltonian fluid closures of the Vlasov-Ampère equations: from water-bags to N moment models
Physics of Plasmas, American Institute of Physics, 2015, 22, pp.092309
Journal article
Simon Berman, Cristel Chandre, T Uzer
Persistence of Coulomb focusing during ionization in the strong-field regime
Physical Review A, American Physical Society, 2015, 92, pp.023422
Journal article
M Perin, C Chandre, P.J. Morrison, E Tassi
Hamiltonian closures for fluid models with four moments by dimensional analysis
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2015, 48 (27), pp.275501
Conference paper
Matteo Gori, Ilaria Nardecchia, Marco Pettini, Jeremie Torres, Luca Varani
Investigation of Brownian Diffusion and Long-Distance Electrodynamic Interactions of Biomolecules
IEEE. International Conference on Noise and Fluctuations, Jun 2015, Xi’an, China. 2015 International Conference on Noise and Fluctuations (ICNF), 2015, 〈10.1109/ICNF.2015.7288566〉
Conference paper
Jean Barrère, G. Chabriel, F. Briolle, G. Gassier
An Optimal Family of Detectors for Passive Radar Systems Using Digital Communication Signals
Conference on Chaos, Complexity and Transport 2015, Jun 2015, Marseilles, France. WORLD SCIENTIFIC, 〈10.1142/9789813202740_0015〉
Journal article
Michael Norman, C Chandre, T Uzer, Peijie Wang
Nonlinear dynamics of ionization stabilization of atoms in intense laser fields
Physical Review A, American Physical Society, 2015, 91, pp.023406. 〈http://journals.aps.org/pra/abstract/10.1103/PhysRevA.91.023406〉
Preprint, Working paper
Matteo Gori, Roberto Franzosi, Marco Pettini
On the apparent failure of the topological theory of phase transitions
2016
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〉
Book Section
Xavier Leoncini
Self-organized regularity in long-range systems
Edgardo Ugalde; Hernan Gonzales-Aguilar. Nonlinear Dynamics New Directions, 12, Springer, pp.79-109, 2015, Nonlinear Systems and Complexity, 978-3-319-09863-0. 〈10.1007/978-3-319-09864-7_4〉
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〉
202 results

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