Une introduction à la Dynamique contemporaine
Avec des programmes en Pascal, Fortran et Mathematica
Nombre de pages : 447
Editeur : ELLIPSES, 32 rue Bargue 75740 Paris.
Tél : (33) 1 45 67 74 19 ; Fax : (33) 1 47 34 67 94 ; Web : www.editions-ellipses.com
Abstract: This book is based on lectures given at the University of Paris 11 and covers the background to non-linear dynamical systems. Written for the advanced undergraduate/graduate student, it is self-contained. Among its many special topics are center manifolds and normal forms, local bifurcations and catastrophes, homoclinic bifurcation and Melnikov's method, Feigenbaum constants, Yoccoz puzzles, KAM surfaces, 3-body problem (including Sitnikov problem).... Many notions are illustrated by computer programs written in Pascal, Fortran and Mathematica. Included are numerous references to contemporary research literature..