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

Asch Joachim University faculty
+ Email
Aschbacher Walter University faculty
+ Email
Bui Olivier PhD candidate
Caby Théophile PhD candidate
ESPANA Andrea PhD candidate
Floriani Elena University faculty
+ Email
Gori Matteo Postdoctoral researcher
Lechelon Mathias Postdoctoral researcher
Leoncini Xavier University faculty
Référent pôle de recherche interdisciplinaire et intersectoriel AMU - Energie
Chef de l’équipe « Systèmes dynamiques : théories et applications »
+ Email
Maestri Stefano PhD candidate
Pettini Marco University faculty
+ Email
Vaienti Sandro University faculty
+ Email
Valvo Lorenzo PhD candidate
Vittot Michel Researcher
Chef du Groupe « Systèmes dynamiques classiques et quantiques »
+ Email
Wang Tianbo PhD candidate

List of Publications

209 results
Journal article
Emanuele Tassi, Massimiliano Romé, Cristel Chandre
A Hamiltonian fluid-kinetic model for a two-species non-neutral plasma
Physics of Plasmas, American Institute of Physics, 2014, 21, pp.044504
Journal article
Adam Kamor, Cristel Chandre, Turgay Uzer, Francois Mauger
Recollision scenario without tunneling : Role of the ionic core potential
Physical Review Letters, American Physical Society, 2014, 112, pp.133003. ⟨10.1103/PhysRevLett.112.133003⟩
Journal article
Cristel Chandre, Philip Morrison, Emanuele Tassi
Hamiltonian formulation of the modified Hasegawa Mima equation
Physics Letters A, Elsevier, 2014, 378, pp.956. ⟨10.1016/j.physleta.2014.01.048⟩
Journal article
Francois Mauger, A.D. Bandrauk, Adam Kamor, Turgay Uzer, Cristel Chandre
Quantum-classical correspondence in circularly polarized high harmonic generation
Journal of Physics B: Atomic, Molecular and Optical Physics, IOP Publishing, 2014, 47, pp.041001. ⟨10.1088/0953-4075/47/4/041001⟩
Journal article
Bastien Fernandez
Breaking of Ergodicity in Expanding Systems of Globally Coupled Piecewise Affine Circle Maps
Journal of Statistical Physics, Springer Verlag, 2014, 154 (4), pp.999-1029. ⟨10.1007/s10955-013-0903-9⟩
Book Section
Sarah de Nigris, Xavier Leoncini
From Long-Range Order to Complex Networks, an Hamiltonian Dynamics Perspective
Valentin Afraimovich; Albert C. J. Luo; Xilin Fu. Nonlinear Dynamics and Complexity, 8, Springer, pp.1-39, 2014, Nonlinear Systems and Complexity, 978-3-319-02352-6. ⟨10.1007/978-3-319-02353-3_1⟩
Journal article
Davide Faranda, Xavier Leoncini, Sandro Vaienti
Mixing properties in the advection of passive tracers via recurrences and extreme value theory
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2014, 90, pp.019902. ⟨10.1103/PhysRevE.89.052901⟩
Journal article
Ilaria Nardecchia, Lionel Spinelli, Jordane Preto, Matteo Gori, Elena Floriani, Sebastien Jaeger, Pierre Ferrier, Marco Pettini
Experimental detection of long-distance interactions between biomolecules through their diffusion behavior: Numerical study
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2014, 90 (2), pp.022703. ⟨10.1103/PhysRevE.90.022703⟩
Journal article
Davide Faranda, Sandro Vaienti
Extreme value laws for dynamical systems under observational noise
Physica D: Nonlinear Phenomena, Elsevier, 2014, 280-281, pp.86-94
Journal article
Nakia Carlevaro, Duccio Fanelli, Xavier Garbet, Philippe Ghendrih, Giovanni Montani, Marco Pettini
Beam–plasma instability and fast particles: the Lynden-Bell approach
Plasma Physics and Controlled Fusion, IOP Publishing, 2014, 56 (3), pp.035013. ⟨10.1088/0741-3335/56/3/035013⟩
209 results