Session Organizers:
Victor Edneral(
Aleksandr Myllari(Abo Akademi University, Turku/Abo, Finland)
Nikolay Vassiliev(Steklov Institute of Mathematics at
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.
Perturbation theories.
6.
Normal forms and Power
geometry.
7.
Integrability and
nonintegrability of ODEs.
8.
Exact solutions and
integrals.
9.
Families of periodic
solutions.
10. Computation of asymptotes of
solutions and its program implementation.
11. Deterministic chaos in dynamical
systems.
12. Formal integrals.
13. Modern trends in KAM theory.
14. Computer algebra for celestial
mechanics and stellar dynamics.
15. Specialized computer algebra
software for celestial mechanics.
16. Topological structure of phase
portraits and computer visualization.
17. Discrete Dynamical Systems.
Submission of full papers,
talks or abstracts of talks at the conference: May 20,
2012. Abstracts can be sent to session organizers directly.
Notification of acceptance of the
report for the conference: one week after receiving the material.
LIST OF THE SPEAKERS |
|
SPEAKER |
TITLE |
|
|
M. Olle, E. Barrabes, J.
M. Mondelo |
|
A.D. Bruno, V.F.
Edneral |
|
A.
Myllari, M. Valtonen, V. Orlov. , A. Rubinov |
|
The parametric resonance
as a source of chaotic behaviour in a restricted three body problem |
|
N.N.Vassiliev, A.B. Terentiev |
The history of these
sessions/conferences: