ISBN: 3-540-65467-4
TITLE: Dynamical Systems, Plasmas and Gravitation
AUTHOR: Leach, P.G.L.; Bouquet, S.E.; Rouet, J.-L.; Fijalkow, E. (Eds.)
TOC:

General Introduction
Serge Bouquet 1
Part I The World of Marc Feix
Honouring Marc Feix
Pierre Bertrand 7
Part II Plasma and Gravitation
Interaction of an Ultra-High-Intensity Electromagnetic Pulse with an Overdense Plasma
Guy Bonnaud, Erik Lefebvre and Catherine Toupin 21
Plasma Accelerator Simulations Using Semi-Lagrangian 1D and 2D Vlasov Code
Alain Ghizzo, Pierre Bertrand and Marie-Line Bgu 33
2D VlasovEulerian Simulations: Extension to the Relativistic Case
Eric Fijalkow 44
A Limiting Case of Averaging Compactness Lemmas Motivated by the Kinetic Formulation of Some Classical Systems of Fluid Mechanics
Benoit Perthame and Panagiotis E. Souganidis 56
Expansion of a Negative Ion Plasma into Vacuum
Habiba Figua, Lonardo G. Garcia, Eric Fijalkow and Joo Goedert 62
A Presentation of the Diffusion Velocity Method
Sylvie Mas-Gallic 74
Finite-Difference Schemes for the Diffusion Equation
Giovanni Manfredi and Maurizio Ottaviani 82
1, 2, 3 Plasmas!
Jean Clrouin 93
The Notion of Integrability for Time-Dependent Hamiltonian Systems: Illustration from the Relativistic Motion of a Charged Particle in a Electromagnetic Field
Alain Bourdier and Serge Bouquet 104
Stochastisation of Phases in Four-Wave Interaction
Bertrand Lefebvre, Volodia Krasnosel'skikh and Thierry Dudok de Wit 117
Light Bullets Propagation in Saturating Nonlinear Optical Medium
Vladimir Skarka, Vazha Berezhiani and Richard Miklaszewski 130
The Dynamics of Some Quantum Open Systems with Short-Range Nonlinearities
Francis Nier 141
Global Dynamics of Fusion Plasmas
Hans Wilhelmsson 148
The Jeans' Criterion and the Gravitiational Instability
Serge Bouquet 151
Recent Progress in Studies of One-Dimensional Gravitating Systems
Bruce N. Miller, Kenneth R. Yawn and V. Paige Youngkins 164
Fluctuations of the Kinetic Energy and Stability of Coherent Structures in a One-Dimensional Gravitating Gas: Numerical Simulation
Jean-Louis Rouet and Marc R. Feix 176
Structure Formation in the One-Dimensional Gravitational Gas
Amador Muriel, Agnes Miciano-Cario and Ricolindo L. Cario 187
Interaction Forces and Space Symmetry
Alain Munier 197
Cellular Automaton Explosion Models
Jean Perdang 211
Acoustic Earth Imaging by Seismic Migration
Ernesto Bonomi, Leesa Brieger, Carlo Nardone and Enrico Pieroni 227
Part III Dynamical Systems
Integrability and Alegbraic Solutions for the 2-D LotkaVolterra System
Laurent Cair and Jaume Llibre 243
Isochronous Centers of Cubic Reversible Systems
Javier Chavarriga and Isaac Garcia 255
On the Polynomial First Integrals of the (a, b, c) LotkaVolterra System
Simon Labrunie 269
Local Integrability for Nilpotent Critical Point
Javier Chavarriga and Jaume Gin 278
Lie Symmetries of Generalized Ermakov Systems
Fernando Haas and Joao Goedert 288
Hamilton's Principal Function and Integration by Quadratures for an N-Degree-of-Freedom Non-autonomous System Given N Invariants Invertible in Involution
H. Ralph Lewis and Serge Bouquet 297
Hierarchies of Similarity Symmetries and Singularity Analysis
Peter G. L. Leach 304
Area Preserving Flows on Compact Connected Surfaces
Anna Cima, Li Jibin and Jaurne Llibre 313
A Lattice Model for Tropical Rain Forests
Jrme Chave, Marc A. Dubois and Bernard Rira 320
Periodic Solutions and Associated Limit Cycle for the Generalised Chazy Equation
Claude Gronimi, Marc R. Feix and Peter G. L. Leach 327
A Branch and Bound Algorithm for the Flow-Shop Scheduling Problem
Khoan Vo Khac 336
On the Linear Third-Order Differential Equation
Olivier Valle 340
Telecommunication Network Optimisation and Statistical Physics
Jean-Luc Lutton and Nicolas Preux 348
A Study of the Analytical and Local Semiclassical Wigner Distribution
Manuel Soares, Olivier Valle and Charles de Izarra 361
Quantum Transition and Irreversibility
Jean Salmon 371
Part IV Closure
Pioneering in Plasma Simulation
Charles K. Birdsall 383
List of Participants 393
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