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Dynamical Systems: Theories and Applications

Group “Classical and Quantum Dynamical Systems”

Dynamical Systems: Theories and Applications 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.

Team's directory

ASCH Joachim

Research teacher

+33.4.91.26.95.20

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ASCHBACHER Walter

Research teacher

+33.4.91.26.95.16

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DAQUIN Jerome

Research teacher

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EL KETTANI Perla

Research teacher

Unit leader « Systèmes dynamiques classiques et quantiques »

+33.4.91.26.97.93

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FLORIANI Elena

Research teacher

+33.4.91.26.95.22

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LEBOUAZDA Yohann

Ph.D.

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LEONCINI Xavier

Research teacher

Team leader « Dynamical Systems: Theory and Applications »

+33.4.91.26.95.38

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PETTINI Marco

Research teacher

+33.4.91.26.95.49

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ROUVET Simon

Ph.D.

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VAIENTI Sandro

Research teacher

+33.4.91.26.95.44

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VITTOT Michel

Researcher

+33.4.91.26.95.24

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Team's publications

Collective oscillation of proteins proven by terahertz spectroscopy in aqueous medium

Yoann Meriguet, Mathias Lechelon, M. Gori, Ilaria Nardecchia, A. Kudashova, Dominique Coquillat, Luca Varani, Pettini Marco, Jeremie Torres

BIOEM 2019, 2019, Montpellier, France

HAL

Unknown type


Collective behavior of oscillating electric dipoles

Simona Olmi, Matteo Gori, Irene Donato, Marco Pettini

Scientific Reports, 2018, 8 (1), pp.15748. (10.1038/s41598-018-33990-y)

Journal articles


A reduced Landau-gyrofluid model for magnetic reconnection driven by electron inertia

E. Tassi, D. Grasso, D. Borgogno, T. Passot, P. Sulem

Journal of Plasma Physics, 2018, 84 (4), pp.725840401. (10.1017/S002237781800051X)

Journal articles


Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales

George Miloshevich, Philip Morrison, Emanuele Tassi

Physics of Plasmas, 2018, 25 (7), pp.072303. (10.1063/1.5023089)

Journal articles


Extreme value theory for synchronization of coupled map lattices

D. Faranda, H. Ghoudi, P. Guiraud, Sandro Vaienti

Nonlinearity, 2018, 31 (7), pp.3326-3358. (10.1088/1361-6544/aabc8e)

Journal articles


Central limit theorems for sequential and random intermittent dynamical systems

Matthew Nicol, Andrew Török, Sandro Vaienti

Ergodic Theory and Dynamical Systems, 2018, 38 (3), pp.1127-1153. (10.1017/etds.2016.69)

Journal articles


Gyrofluid modeling and phenomenology of low- β e Alfvén wave turbulence

T. Passot, P. Sulem, E. Tassi

Physics of Plasmas, 2018, 25 (4), pp.042107. (10.1063/1.5022528)

Journal articles


Resonance controlled transport in phase space

Xavier Leoncini, Alexei Vasiliev, Anton Artemyev

Physica D: Nonlinear Phenomena, 2018, 364, pp.22-26. (10.1016/j.physd.2017.09.010)

Journal articles


Can Noise and Diffusion Help to Solve the Puzzle of Biomolecules Interactions?

M. Lechelon, M. Gori, Pettini Marco, Y. Meriguet, Jeremie Torres, Luca Varani

8th International Conference on Unsolved Problems on Noise (UPON), J. Smulko, 2018, Gdansk, Poland

HAL

Conference papers


Out-of-Equilibrium Collective Oscillation as Phonon Condensation in a Model Protein

Ilaria Nardecchia, Jeremie Torres, Mathias Lechelon, Valeria Giliberti, Michele Ortolani, Philippe Nouvel, Matteo Gori, Yoann Meriguet, Irene Donato, Jordane Preto, et al.

Physical Review X, 2018, 8 (3), pp.031061. (10.1103/physrevx.8.031061)

Journal articles