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

S. E. Bouquet (auth.), P. G. L. Leach, S. E. Bouquet, J.-L. Rouet, E. Fijalkow (eds.)3540654674, 9783540654674

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.

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Table of contents :
General introduction….Pages 1-4
Honouring marc feix….Pages 7-17
Interaction of a ultra-high-intensity electromagnetic pulse with an overdense plasma….Pages 21-32
Plasma accelerator simulations using semi-lagrangian 1D and 2D Vlasov code….Pages 33-43
2D vlasov-eulerian simulations: Extension to the relativistic case….Pages 44-55
A limiting case of averaging compactness lemmas motivated by the kinetic formulation of some classical systems of fluid mechanics….Pages 56-61
Expansion of a negative ion plasma into vacuum….Pages 62-73
A presentation of the diffusion velocity method….Pages 74-81
Finite-difference schemes for the diffusion equation….Pages 82-92
1, 2, 3 plasmas!….Pages 93-103
The notion of integrability for time-dependent Hamiltonian systems: Illustration from the relativistic motion of a charged particle in an electromagnetic field….Pages 104-116
Stochastisation of phases in four-wave interaction….Pages 117-129
Light bullets propagation in saturating nonlinear optical medium….Pages 130-140
The dynamics of some quantum open systems with short-range nonlinearities….Pages 141-147
Global dynamics of fusion plasmas….Pages 148-150
The Jeans’ criterion and the gravitational instability….Pages 151-163
Recent progress in studies of one-dimensional gravitating systems….Pages 164-175
Fluctuations of the kinetic energy and stability of coherent structures in a one-dimensional gravitating gas: Numerical simulation….Pages 176-186
Structure formation in the one-dimensional gravitational gas….Pages 187-196
Interaction forces and space symmetry….Pages 197-210
Cellular automaton explosion models….Pages 211-226
Acoustic earth imaging by seismic migration….Pages 227-239
Integrability and alegbraic solutions for the 2-D lotka-Volterra system….Pages 243-254
Isochronous centers of cubic reversible systems….Pages 255-268
On the polynomial first integrals of the ( a, b, c ) Lotka-Volterra system….Pages 269-277
Local integrability for nilpotent critical point….Pages 278-287
Lie symmetries of generalized Ermakov systems….Pages 288-296
Hamilton’s principal function and integration by quadratures for an N -degree-of-freedom non – autonomous system given N invertible invariants in involution….Pages 297-303
Hierarchies of similarity symmetries and singularity analysis….Pages 304-312
Area preserving flows on compact connected surfaces….Pages 313-319
A lattice model for tropical rain forests….Pages 320-326
Periodic solutions and associated limit cycle for the generalised Chazy equation….Pages 327-335
A branch and bound algorithm for the flow-shop scheduling problem….Pages 336-339
On the linear third-order differential equation….Pages 340-347
Telecommunication network optimisation and statistical physics….Pages 348-360
A study of the analytical and local semiclassical Wigner distribution….Pages 361-370
Quantum transition and irreversibility….Pages 371-379
Pioneering in plasma simulation….Pages 383-392