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Fractional conformal invariance method for finding conserved quantities of dynamical systems.
- Source :
-
International Journal of Non-Linear Mechanics . Dec2017, Vol. 97, p107-114. 8p. - Publication Year :
- 2017
-
Abstract
- For a dynamical system that can be transformed into fractional Birkhoffian representation, under a more general kind of fractional infinitesimal transformation of Lie group, we present the fractional conformal invariance method and it is found that, using the new method, we can find a new kind of non-Noether conserved quantity; and we find that, as a special case, an autonomous fractional Birkhoffian system possesses more conserved quantities. Also, as the fractional conformal invariance method’s applications, we, respectively, explore the conformal invariance and conserved quantities of a fractional Lotka biochemical oscillator and a fractional Hojman–Urrutia model. This work constructs a basic theoretical framework of fractional conformal invariance method, and provides a general method for finding conserved quantities of an actual fractional dynamical system that is related to science and engineering. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207462
- Volume :
- 97
- Database :
- Academic Search Index
- Journal :
- International Journal of Non-Linear Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- 125923067
- Full Text :
- https://doi.org/10.1016/j.ijnonlinmec.2017.09.008