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, in particular the Central Limit Theorem (CLT), the Almost Sure Invariance Principle, large deviations, and the distribution of rare events. The rate of decay of correlations for non-uniformly hyperbolic systems is estimated using new techniques (coupling, renewal). Random systems (by random composition of mappings acting on the same space) and sequential dynamical systems (non-stationary or non-autonomous, where a concatenation of mappings acts on a space) are also studied. We have formulated and developed the theory of extreme values for random and non-autonomous systems, with extensions to networks of coupled mappings.
Fusion plasma physics: We develop reduced fluid and kinetic Hamiltonian models derived from Dirac’s constraint theory to study the fundamental mechanisms of turbulent magnetized plasmas that degrade confinement in tokamak devices. Parasitic instabilities in a hybrid non-Hamiltonian model for the interaction of energetic particles with a thermal plasma are also studied, as well as secondary instabilities following magnetic reconnection. Another part of the research activity concerns the application of stochastic process theory to study the formation of transport barriers in tokamaks.
Biophysics: We focus on fundamental physical processes, in particular resonant electrodynamic forces acting over long distances, which are thought to be responsible for the high efficiency of molecular machinery within living cells and for long-range coherence in biological systems. This activity is pursued both theoretically and experimentally in collaboration with molecular biologists.
Complexity: New methods for measuring the complexity of networks are developed within the framework of Riemannian Information Geometry. Applications to networks of proteomic interactions in cancer cells are currently being developed.
| ASCH | Joachim | Research teacher | +33.4.91.26.95.20 | Contact |
| ASCHBACHER | Walter | Research teacher | +33.4.91.26.95.16 | Contact |
| DAQUIN | Jerome | Research teacher | Contact | |
| EL KETTANI | Perla | Research teacher Unit leader « Systèmes dynamiques classiques et quantiques » | +33.4.91.26.97.93 | Contact |
| FLORIANI | Elena | Research teacher | +33.4.91.26.95.22 | Contact |
| LEBOUAZDA | Yohann | Ph.D. | Contact | |
| LEONCINI | Xavier | Research teacher Team leader « Dynamical Systems: Theory and Applications » | +33.4.91.26.95.38 | Contact |
| PETTINI | Marco | Research teacher | +33.4.91.26.95.49 | Contact |
| ROUVET | Simon | Ph.D. | Contact | |
| VAIENTI | Sandro | Research teacher | +33.4.91.26.95.44 | Contact |
| VITTOT | Michel | Researcher | +33.4.91.26.95.24 | Contact |
Stationary states and fractional dynamics in systems with long range interactions
EPL - Europhysics Letters, 2010, 89 (5), pp.50010. (10.1209/0295-5075/89/50010)
Double ionisation d'atomes en champ laser intense : Cas du magnésium
13e Rencontre du Non-Linéaire, Mar 2010, Paris, France. pp.109-114
Analysis and separation of time-frequency components in signals with chaotic behavior
2010
Hamiltonian four-field model for magnetic reconnection: nonlinear dynamics and extension to three dimensions with externally applied fields
Nuclear Fusion, 2010, 50 (3), pp.034007. (10.1088/0029-5515/50/3/034007)
From recollisions to the knee: A road map for double ionization in intense laser fields
Physical Review Letters, 2010, 104 (4), pp.043005. (10.1103/PhysRevLett.104.043005)
The R'enyi Entropy Function and the Large Deviation of Short Return Times
Ergodic Theory and Dynamical Systems, 2010, 30, pp.159-179. (10.1017/S0143385709000030)
Gyrofluid simulations of collisionless reconnection in the presence of diamagnetic effects
Journal of Physics: Conference Series, 2010, 260, pp.012020
Reduction of the chaotic transport of impurities in turbulent magnetized plasmas
M.A.F. Sanjuan and C. Grebogi. Recent Progress in Controlling Chaos, World Scientific, pp.1, 2010, Stability, Vibration and Control of Systems - Series B
Asymptotic distribution of global errors in the numerical computations of dynamical systems
Physica A: Statistical Mechanics and its Applications, 2010, 389 (21), pp.4994-5006. (10.1016/j.physa.2010.06.060)
Nonlinear dynamics of recollisions in the double ionization processes of atoms in strong fields
ICNAAM 2010, 2010, Greece. pp.1589-1592, (10.1063/1.3498117)
