Session Organizers:
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CAMTP, |
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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.
7.
Power
geometry.
8.
Integrability
and nonintegrability of ODEs.
9.
Exact
solutions and integrals.
10.
Families
of periodic solutions.
11.
Computation
of asymptotes of solutions and its program implementation.
12.
Deterministic
chaos in dynamical systems.
13.
Formal
Integrals.
14.
Modern
Trends in KAM theory.
15.
Computer
algebra for celestial mechanics and stellar dynamics.
16.
Specialized
computer algebra software for celestial mechanics.
17.
Topological
structure of phase portraits and computer visualization.
18.
Discrete
Dynamical Systems.
May 15th:
Deadline for talk submissions.
May 20th:
Notification of acceptance.
May 25th:
Final day for standard registration.
May 25th: Deadline for
extended abstracts / short papers of up to 5 pages submissions.
May 30th:
Final day for special rates at Málaga Palacio Hotel.
July 02nd - 6th: ACA 2013
Conference.
Abstracts can be sent to session organizers
directly. We would be very grateful to submitters for usage the template form
http://aca2013.uma.es/TemplateACA2013.tex
. The compiled version of this example can be found here:
http://aca2013.uma.es/TemplateACA2013.pdf
.
Notification of
acceptance of the report for this session: one week after receiving the material. If your
proposal is accepted, you may send an extended abstract or short paper of up to
5 pages to be included in the proceedings. Proceedings will be published with
an ISBN.
PRELIMINARY
LIST OF THE SPEAKERS |
|
SPEAKER |
TITLE |
Matej
Mencinger, Brigita Fer |
The Study of
Isochronicity and Critical Period Bifurcations |
Larisa Burlakova, Valentin Irtegov |
On
Using of Computer Algebra Systems for Analysis of Rigid Body Dynamics |
Tatiana Myllari, Aleksandr Myllari |
|
Alexander
Bruno, Victor Edneral |
On Necessary
Conditions of Integrability of Degenerated Planar ODE Systems in the Parameter
Space |
Juan F. Navarro |
|
Antonio Algaba, Isabel
Checa, Cristóbal García, Estanislao Gamero |
The history
of this conference / of this session: