Noetherian symmetries of noncentral forces with drag term-Reference-Cited by-同舟云学术

Noetherian symmetries of noncentral forces with drag term

Published:2017-01-18 Issue:02 Volume:14 Page:1750018
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Ghose-Choudhury A.¹,Guha Partha²,Paliathanasis Andronikos³^ORCID,Leach P. G. L.⁴⁵⁶

Affiliation:

1. Department of Physics, Surendranath College, 24/2 Mahatma Gandhi Road, Calcutta 700009, India

2. SN Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata 700106, India

3. Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile

4. Department of Mathematics and Statistics, University of Cyprus, Lefkosia 1678, Cyprus

5. School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4000, South Africa

6. Department of Mathematics, Durban University of Technology, PO Box 1334, Durban 4000, South Africa

Abstract

We consider the Noetherian symmetries of second-order ODEs subjected to forces with nonzero curl. Both position and velocity dependent forces are considered. In the former case, the first integrals are shown to follow from the symmetries of the celebrated Emden–Fowler equation.

Funder

Comisión Nacional de Investigación Cientifica y Tecnológica

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887817500189

Reference19 articles.

1. The projective geometric theory of systems of second-order differential equations: straightening and symmetry theorems

2. Kepler-Ermakov problems

3. Classical dynamics with curl forces, and motion driven by time-dependent flux