It has been shown that when an n-dimensional dynamical system admits a generalized symmetry vector field which Ε½ involves a divergence-free Liouville vector field, then it possesses n y 1 independent first integrals i.e., it is algebraically . integrable . Furthermore, the Liouville vector field can
β¦ LIBER β¦
Algebraic dynamics and time-dependent dynamical symmetry of nonautonomous systems
β Scribed by S.J. Wang; F.L. Li; A. Weiguny
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 587 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0375-9601
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This paper deals with a method which is meant to directly approximate the steady state response of linear di!erential equations with periodic coe$cients under external excitations. The interest lies in the use of particular systems with time-independent characteristics (mass, damping) and with perio