From Hamiltonian Chaos to Complex Systems

Xavier Leoncini, Centre de Physique Théorique, xavier.leoncini@cpt.univ-mrs.fr Marc Leonetti, Aix-Marseille Université, leonetti@irphe.univ-mrs.fr

• Describing Plasma dynamics with finite dimensional Hamiltonian systems.- Some experiments with soap films and soap bubbles.- Transport properties in a model of supersolid.- Directed transport in a spatially periodic potential under periodic non-biased forcing.- Nonlinear propagation of a driven electron plasma wave and self-organization of stimulated Raman scattering.- Stochastic patterns formation and diffusion.- Propagation of information on undirected dependency graphs and related inverse problem for road traffic inference.- Stochastic solutions of nonlinear pde's: McKean versus superprocesses.- Challenges and Recent Advances in Heat Transport Modelling for ITER.- Front propagation manifolds in advection-reaction-diffusion processes.- Stress defocusing in elastic sheets by anisotropic compaction.- Weak chaos, infinite ergodic theory, and anomalous diffusion.- Finite time dynamics.- Dynamics of a model of red blood cell and implication to rheology.