Abstract
We characterize the polynomial (respectively analytical) first integrals of degree one in the variables u and v of the differential systems of the form x′=u, y′=v, u′=B(x,y)v and v′=-B(x,y)u where B=B(x,y) is a polynomial (respectively analytic function) in the variables x and y. This differential system models a non-relativistic charge moving on a plane under the action of a magnetic field orthogonal to this plane. © 2012 Elsevier Ltd. All rights reserved.
Original language | English |
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Pages (from-to) | 965-967 |
Journal | International Journal of Non-Linear Mechanics |
Volume | 47 |
Issue number | 9 |
DOIs | |
Publication status | Published - 1 Nov 2012 |
Keywords
- Analytic first integrals
- Charged particle
- Magnetic field
- Polynomial first integrals