at ACA'2009 to be held at École de technologie supérieure (ÉTS), Montréal, Québec, Canada, June 25-28, 2009
Celestial Mechanics and Dynamical Systems are traditional fields for applications of computer algebra. This session is intended to discuss Computer Algebra methods and modern algorithms in the study of general continuous and discrete Dynamical Systems, Ordinary Differential Equations and Celestial Mechanics.
The following topics, among others, will be considered:
1. Stability and bifurcation analysis of dynamical systems
2. Construction and analysis of the structure of integral manifolds
3. Symplectic methods.
4. Symbolic dynamics.
5. Normal forms and programs for their computations.
6. Deterministic chaos in dynamical systems.
7. Families of periodic solutions.
8. Perturbation theories.
9. Exact solutions and partial integrals.
10. Computation of asymptotes of solutions and its program implementation.
11. Integrability and nonintegrability of ODEs.
12. Computation of formal integrals.
13. Computer algebra for celestial mechanics and stellar dynamics.
14. Specialized computer algebra software for celestial mechanics.
15. Topological structure of phase portraits and computer visualization.
(Alexander Bruno, Keldysh
Institute of Applied Mathematics of RAS and Victor Edneral, Skobeltsyn Institute of Nuclear Physics of
(B.L. Markovski , O.
Chuluunbaatar, A.A. Gusev, S.I. Vinitsky, Joint
Institute for Nuclear Research,
(A. Mylläri, University of Turku, Finland, T. Mylläri , Åbo Akademi University,
Finland, A. Rostovtsev, S. Vinitsky, Joint Institute for