| First presenter |
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Co-presenter(s) |
| Name : |
A. Mylläri * |
|
Name: |
T. Mylläri * |
| E-mail: |
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E-mail: |
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| Affiliation: |
University of Turku |
|
Name: |
A. Rostovtsev |
| Department: |
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E-mail: |
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| City: |
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|
Name: |
S. Vinitsky |
| State/Province: |
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E-mail: |
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| Country: |
Finland |
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Name: |
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Talk
Number: |
07-03 |
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E-mail: |
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| Session: |
7- Computer Algebra for Dynamical Systems and Celestial Mechanics |
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Schedule:
Room: |
Sunday, 9:30
B-3432 |
| Related website: |
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Title of
presentation: |
Formal Integral and Caustics in Dynamical Systems withTwo Degrees of Freedom |
| Abstract: |
| We continue our studies of the feasibility of the
usage of formal integral in
investigating structure of caustics in dynamical systems with two
degrees of
freedom. H'enon-Heiles and Contopoulos models are used for experiments.
We use
the program LINA (version for Mathematica 6) developed at JINR to
construct
Gustavson-like formal integral of motion. This integral is used
(together with the Hamiltonian of the system) to study analytically the
evolution of caustics (changes in the structure of the velocity field)
in the system. Results obtained analytically by using formal integral of
motion are compared with the ones obtained by the numerical
integration. |