Dynamical Systems, Plasmas and Gravitation: Selected Papers from a Conference Held in Orléans la Source, France, 22–24 June 1997

ISBN-13: 9783662142462 / Angielski / Miękka / 2013 / 404 str.

P.G.L. Leach;S.E. Bouquet;J.-L. Rouet

Opis

Published in honour of Marc Feix this book tries to give a thorough overview of mathematical methods, analytical and numerical techniques and simulations applied to a variety of problems from physics and engineering. The book addresses graduate students, researchers and especially engineers. The main emphasis is to apply the generality of methods to form a coherent and stimulating approach to practical investigations.

Spis treści

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