K1MA6021 : Systèmes dynamiques
Cours d'introduction aux
EDO et systèmes dynamiques:
Examens antérieurs :
Bibliographie succincte :
- E. A. Coddington, N. Levinson, Theory of ordinary differential equations,
International Series in Pure and Applied Mathematics, McGraw-Hill Book
Company (1955).
- J.K. Hale, Ordinary Differential Equations, Wiley-Interscience,
New York (1971).
- P. Hartman, Ordinary Differential Equations, John Wiley ans Sons
(1964).
- M. W. Hirsch, S. Smale, Differential Equations, Dynamical Systems,
and Linear Algebra, Pure and Aplied Mathematics, Academic Press,
Vol. 60 (1970).
- F. C. Hoppensteadt, Analysis and Simulation of Chaotic Systems,
Applied Mathematical Sciences, Springer, Vol. 94 (2000).
- J. H. Hubbard, B. H. West, Differential Equations: A dynamical systems
approach, Texts in Applied Mathematics, Springer-Verlag, Vol. 5 (1991),
Vol. 18 (1995).
- J. Guckenheimer, P. Holmes, Nonlinear Oscillations, Dynamical Systems,
and Bifurcation of vector fields, Applied Mathematical Sciences,
Springer-Verlag, Vol. 42 (1986).
- C.-M. Marle, Systèmes dynamiques : une introduction,
Mathématiques
pour 2ième cycle, Ellipses Edition Marketing (2003).
- L. Perko, Differential equations and dynamical systems,
Springer-Verlag (1991).
-
S. H. Strogatz, Nonlinear Dynamics and Chaos, Westview Press (2000).
Ressources avancées en ligne :