Some remarks on the numerical time intergration of non-linear dynamical systems.
SOME REMARKS ON THE NUMERICAL TIME INTEGRATION OF NON-LINEAR DYNAMICAL SYSTEMS
β Scribed by P.B. Bornemann; U. Galvanetto
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 256 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The extension of Abel's Identity presented in the companion paper is used to construct the general solutions to some non-linear, autonomous systems. It is shown that only one first integral is required for the construction, and that one first integral naturally leads to a second independent integral
In this paper, a new analysis method is presented to study the steady periodic solution of non-linear dynamical systems over one period. By using the good properties of Chebyshev polynomials, the state vectors appearing in the equations can be expanded in terms of Chebyshev polynomials over the prin