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Article information
2012 , Volume 17, ¹ 4, p.3-13
Bogachev V.E., Chekanov A.V.
Symbolic numerical calculations of the normal form, integral of motion and Poincare sections for the conservative two-dimensional Hamiltonian systems
A brief description of the developed Maple 8 algorithms for symbolic numerical calculations of the normal form and formal (approximated) integrals of motion by the Birkhoff-Gustavson method for Hamiltonian systems with any degrees of freedom is presented. Poincare sections obtained using the approximated integral of motion and the ones calculated by direct numeric method are compared. It is shown that there is a good agreement between both results in energy domain where classical motion is regular.
[full text]
Keywords: classical mechanic, Hamilton function, normalization, Poincare sections, dynamical chaos, integrals of motion, mathematical modeling
Author(s):
Bogachev Vasiliy Evgenievich
Position: Student
Office: National Research University Belgorod State University
Address: Russia, Belgorod
Phone Office: (4722) 21-43-92
E-mail: jancoov@gmail.com
Chekanov Andrey Vyacheslavovich
Position: Student
Office: Omsk Branch of Institute of Mathematics SB RAS
Address: 644099, Russia, Omsk
Phone Office: (3812) 23-67-39
E-mail: andy@omskplast.com
Bibliography link:
Bogachev V.E., Chekanov A.V. Symbolic numerical calculations of the normal form, integral of motion and Poincare sections for the conservative two-dimensional Hamiltonian systems // Computational technologies. 2012. V. 17. ¹ 4. P. 3-13
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