Centre de Physique Théorique

Home > Research teams > Dynamical Systems: Theory and Applications

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
Cristel Chandre
Réduction du chaos hamiltonien
Images de la Physique, 2007, 2006, pp.54
Journal article
Xavier Leoncini, Olivier Agullo, Magali Muraglia, Cristel Chandre
From chaos of lines to Lagrangian structures in flux conservative fields
European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2006, 53, pp.351-360. 〈10.1140/epjb/e2006-00390-7〉
Journal article
Yueheng Lan, Cristel Chandre, Predrag Cvitanovic
Variational method for locating invariant tori
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2006, 74 (4), pp.046206. 〈10.1103/PhysRevE.74.046206〉
Journal article
Elena Shchekinova, Cristel Chandre, Turgay Uzer
Phase space structures and ionization dynamics of hydrogen atom in elliptically polarized microwaves
Physical Review A, American Physical Society, 2006, 74, pp.043417. 〈10.1103/PhysRevA.74.043417〉
Journal article
Cristel Chandre, Guido Ciraolo, Ricardo Lima, Michel Vittot
Contrôle du chaos Hamiltonien et amélioration du confinement dans les plasmas de fusion magnétique
Bulletin de la FRUMAM, 2006, 6, pp.6
Journal article
Cristel Chandre, Turgay Uzer
Instantaneous frequencies of a chaotic system
Pramana - Journal of Physics, Indian Academy of Sciences/Springer, 2005, 64, pp.371
Journal article
Elena Shchekinova, Cristel Chandre, Yueheng Lan, Turgay Uzer
Analyzing intramolecular dynamics by Fast Lyapunov Indicators
Journal of Chemical Physics, American Institute of Physics, 2004, 121 (8), pp.3471. 〈10.1063/1.1756875〉
Journal article
Patrice Le Gal, Jean-Francis Ravoux, Elena Floriani, T. Dudok De Wit
Recovering coefficients of the complex Ginzburg-Landau equation from experimental spatio-temporal data: two examples from hydrodynamics
Physica D: Nonlinear Phenomena, Elsevier, 2003, 174, pp.114-133
Journal article
Elena Floriani, Dimitri Volchenkov, Ricardo Lima
A system close to a threshold of instability
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2003, 36, pp.4771-4783
Journal article
Roberto Franzosi, Marco Pettini, Lionel Spinelli
Topology and Phase Transitions: Paradigmatic Evidence
Physical Review Letters, American Physical Society, 2000, 84 (13), pp.2774 - 2777. 〈10.1103/PhysRevLett.84.2774〉
201 results

Calendar