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From Hamiltonian Chaos to Complex Systems

Part of the Nonlinear Systems and Complexity Book Series (volume 5)

Editors: Leoncini, Xavier; Leonetti, Marc

DOI: 10.1007/978-1-4614-6962-9

ISBN: 978-1-4614-6961-2

Publisher: Springer New York - Springer Journals

May 17, 2013

1 - 10 of 10 Chapters

LitStream

Weak Chaos, Infinite Ergodic Theory, and Anomalous Dynamics

Klages, Rainer

Pages: 3 –42

[This book chapter introduces to the concept of weak chaos, aspects of its ergodic theory description, and properties of the anomalous dynamics associated with it. In the first half of the chapter we study simple one-dimensional deterministic maps, in the second half basic stochastic models, and...
LitStream

Directed Transport in a Stochastic Layer

Vasiliev, Alexei

Pages: 43 –57

[We consider a problem of transport in a spatially periodic potential under the influence of a slowly time-dependent unbiased periodic external force. Using methods of the adiabatic perturbation theory we show that for a periodic external force of general kind the system demonstrates directed...
LitStream

On the Nonlinear Electron Vibrations in a Plasma

Bénisti, Didier

Pages: 61 –107

[Many applications, including the control of parametric instabilities detrimental for inertial confinement fusion, which motivates the present work, require an accurate kinetic description of the electron vibrations in a plasma, henceforth called electron plasma waves. This issue actually gave...
LitStream

How to Face the Complexity of Plasmas?

Escande, Dominique F.

Pages: 109 –157

[This paper has two main parts. The first part is subjective and aims at favoring a brainstorming in the plasma community. It discusses the present theoretical description of plasmas, with a focus on hot weakly collisional plasmas. It comprises two subparts. The first one deals with the present...
LitStream

First Principle Transport Modeling in Fusion Plasmas: Critical Issues for ITER

Sarazin, Yanick

Pages: 159 –188

[Tokamaks aim at confining hot plasmas by means of strong magnetic fields in view of reaching a net energy gain through fusion reactions. Plasma confinement turns out to be governed by small-scale instabilities which saturate nonlinearly and lead to turbulent fluctuations of a few percent. This...
LitStream

Turbulent Thermal Convection and Emergence of Isolated Large Single Vortices in Soap Bubbles

Kellay, Hamid

Pages: 191 –206

[Experiments using a novel thermal convection cell consisting of half a soap bubble heated at the equator to study turbulent thermal convection and the movement of isolated vortices are reviewed. The soap bubble, subject to stratification, develops thermal convection at its equator. A particular...
LitStream

On the Occurrence of Elastic Singularities in Compressed Thin Sheets: Stress Focusing and Defocusing

Pocheau, Alain

Pages: 207 –232

[Compressing thin sheets usually yields the formation of singularities which focus curvature and stretch on points or lines. In particular, following the common experience of crumpled paper where a paper sheet is crushed in a paper ball, one might guess that elastic singularities should be the...
LitStream

Transport Properties in a Model of Quantum Fluids and Solids

Josserand, Christophe

Pages: 233 –266

[We discuss the general transport properties of the non-linear Schrödinger equation in the context of quantum fluid models. In particular, we will discuss two striking behaviors described within this model: the nucleation of quantized vortices and the non-classical rotational inertia.]
LitStream

Spatial and Temporal Order Beyond the Deterministic Limit: The Role of Stochastic Fluctuations in Population Dynamics

Fanelli, Duccio

Pages: 269 –292

[Modeling the self-consistent dynamics of an ensemble made of microscopic constituents can be tackled via deterministic or alternatively stochastic viewpoints. The latter enables one to respect the discrete nature of the scrutinized medium, a possibility which is conversely prevented when dealing...
LitStream

An Ising Model for Road Traffic Inference

Furtlehner, Cyril

Pages: 293 –321

[We review some properties of the “belief propagation” algorithm, a distributed iterative map used to perform Bayesian inference and present some recent work where this algorithm serves as a starting point to encode observation data into a probabilistic model and to process large-scale...

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