Dynamical Systems, Plasmas and Gravitation

Part I The World of Marc Feix

Part II Plasma and Gravitation

- Interaction of an Ultra-High-Intensity Electromagnetic Pulse With an Overdense Plasma

- Plasma Accelerator Simulations Using Semi-Lagrangian 1D and 2D Vlasov Code

- 2D Vlasov-Eulerian Simulations: Extension to the Relativistic Case

- A Limiting Case of Averaging Compactness Lemmas Motivated by the Kinetic Formulation of Some Classical Systems of Fluid Mechanics

- Expansion of a Negative Ion Plasma into Vacuum

- A Presentation of the Diffusion Velocity Method

- Finite-Difference Schemes for the Diffusion Equation

- 1,2,3 Plasmas!

- The Notion of Integrability for Time-Dependent Hamiltonian Systems: Illustration from the Relativistic Motion of a Charged Particle in a Electromagnetic Field

Part III Dynamical Systems

- Integrability and Alegbraic Solutions for the 2-D Lotka-Volterra System

- Isochronous Centers of Cubic Reversible Systems

- On the Polynomial First Integrals of the (a,b,c) Lotka-Volterra System

- Local Integrability for Nilpotent Critical Point

- Lie Symmetries of Generalized Ermakov Systems

- Hamilton's Principal Function and Integration by Quadratures for an N-Degree-of-Freedom Non-autonomous System Given N Invariants Invertible in Involution

- Hierarchies of Similarity Symmetries and Singularity Analysis

- Area Preserving Flows on Compact Connected Surfaces

- A Lattice Model for Tropical Rain Forests

PartIV Closure

- Pioneering in Plasma Simulation