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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
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Caby Théophile PhD candidate
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Delliaux Stéphane Guest
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Floriani Elena University faculty
+33.4.91.26.95.22 Email
Ghoudi Hamza PhD candidate
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Gori Matteo Postdoctoral researcher
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Lechelon Mathias Postdoctoral researcher
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Leoncini Xavier University faculty
Référent pôle de recherche interdisciplinaire et intersectoriel AMU - Energie
+33.4.91.26.95.38 Email
Maestri Stefano PhD candidate
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Pettini Marco University faculty
Chef de l’équipe « Systèmes dynamiques : théories et applications »
+33.4.91.26.95.24 Email
Rejeiba Tarek PhD candidate
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Vaienti Sandro University faculty
+33.4.91.26.95.44 Email
Valvo Lorenzo PhD candidate
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Vittot Michel Researcher
Chef du Groupe « Systèmes dynamiques classiques et quantiques »
+33.4.91.26.95.24 Email
Wang Tianbo PhD candidate
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List of Publications

200 results
Journal article
Elena Floriani, Guido Ciraolo, Philippe Ghendrih, Yanick Sarazin, Ricardo Lima
Self-regulation of turbulence bursts and transport barriers
Plasma Physics and Controlled Fusion, IOP Publishing, 2013, 55 (9), pp.095012. 〈10.1088/0741-3335/55/9/095012〉
Journal article
Ricardo Coutinho, Bastien Fernandez
Fronts between periodic patterns for bistable recursions on lattices
Journal of Dynamics and Differential Equations, Springer Verlag, 2013, 25, pp.17-31. 〈10.1007/s10884-012-9285-y〉
Journal article
Adam Kamor, Francois Mauger, Cristel Chandre, Turgay Uzer
How Key Periodic Orbits Drive Recollisions in a Circularly Polarized Laser Field
Physical Review Letters, American Physical Society, 2013, 110, pp.253002. 〈10.1103/PhysRevLett.110.253002〉
Journal article
Sébastien Jaeger, Bastien Fernandez, Pierre Ferrier
Epigenetic aspects of lymphocyte antigen receptor gene rearrangement or 'when stochasticity completes randomness
Immunology, Wiley, 2013, 139 (2), pp.141-150. 〈10.1111/imm.12057〉
Journal article
David Ralston, Serge Troubetzkoy
Ergodicity of certain cocycles over certain interval exchanges
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2013, 33 (6), pp.2523-2529. 〈10.3934/dcds.2013.33.2523〉
Journal article
Walter H. Aschbacher
From the microscopic to the van Hove regime in the XY chain out of equilibrium
Reviews in Mathematical Physics, World Scientific Publishing, 2013, 25 (5), pp.1330008. 〈10.1142/S0129055X13300082〉
Journal article
Philip Morrison, Emanuele Tassi, Natalia Tronko
Stability of compressible reduced magnetohydrodynamic equilibria - Analogy with magnetorotational instability
Physics of Plasmas, American Institute of Physics, 2013, pp.042109
Journal article
Alain Barrat, Bastien Fernandez, Kevin K Lin, Lai-Sang Young
Modeling temporal networks using random itineraries
Physical Review Letters, American Physical Society, 2013, 110 (15), pp.158702. 〈10.1103/PhysRevLett.110.158702〉
Journal article
Xavier Leoncini, Alberto Verga
Dynamics of vortices and drift waves: a point vortex model
European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2013, 86, pp.95. 〈10.1140/epjb/e2013-30800-6〉
Journal article
Cristel Chandre, Loïc De Guillebon, Aurore Back, Emanuele Tassi, Philip Morrison
On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2013, 46 (12), pp.125203. 〈10.1088/1751-8113/46/12/125203〉
200 results

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