at ACA'2009 to be held at École de
technologie supérieure (ÉTS), Montréal, Québec,
Canada, June 25-28, 2009
Session Organizers:
Victor Edneral Moscow State University, Russia
Aleksandr Myllari University of Turku, Finland
Nikolay Vassiliev Steklov Institute of Mathematics at St.Petersburg, Russia
Overview:
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
Nuclear Research,
(Michael Barnett,