Wandering symmetries of the Lagrange's equations
The dynamic process can be in equal degree adequately prototyped by a family of Lagrange's systems. Symmetry group wanders on this family: systems are transformed from one into another. In this work we show that under determined condition the first integral can be obtained by a simple calculati...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Computer Science
2010-03-01
|
| Series: | Компьютерные исследования и моделирование |
| Subjects: | |
| Online Access: | http://crm.ics.org.ru/uploads/crm/crm2010-1/crm10102.pdf |
| Summary: | The dynamic process can be in equal degree adequately prototyped by a family of Lagrange's systems. Symmetry group wanders on this family: systems are transformed from one into another. In this work we show that under determined condition the first integral can be obtained by a simple calculations on some of such groups. The main purpose of the work is to show usefulness of wandering symmetry concept. The considered example: flat motion of a charged particle in magnetic field in presence of viscous friction. With the help of three wandering symmetry first integral is calculated. |
|---|---|
| ISSN: | 2076-7633 2077-6853 |