From Hamiltonian Chaos to Complex Systems A Nonlinear Physics Approach / [electronic resource] :
edited by Xavier Leoncini, Marc Leonetti.
- XVII, 325 p. online resource.
- Nonlinear Systems and Complexity, 5 2195-9994 ; .
- Nonlinear Systems and Complexity, 5 .
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.
From Hamiltonian Chaos to Complex Systems: A Nonlinear Physics Approach collects contributions on recent developments in non-linear dynamics and statistical physics with an emphasis on complex systems. This book provides a wide range of state-of-the-art research in these fields. The unifying aspect of this book is a demonstration of how similar tools coming from dynamical systems, nonlinear physics, and statistical dynamics can lead to a large panorama of research in various fields of physics and beyond, most notably with the perspective of application in complex systems. This book also: Illustrates the broad research influence of tools coming from dynamical systems, nonlinear physics, and statistical dynamics Adopts a pedagogic approach to facilitate understanding by non-specialists and students Presents applications in complex systems Includes 150 illustrations From Hamiltonian Chaos to Complex Systems: A Nonlinear Physics Approach is an ideal book for graduate students and researchers working in applied mathematics, mechanical engineering, nonlinear physics, and out of equilibrium statistical physics.