Operational Analysis of Non-Linear Dynamical Systems
- 1 February 1942
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 13 (2) , 117-128
- https://doi.org/10.1063/1.1714838
Abstract
An operational method of determining the free and forced vibrations of non-linear dynamical systems is presented. The method is an operational adaptation of the one developed by Lindsted and Liapounoff. The advantage of the operational procedure is that by using a table of operational equivalents, one may write the various successive approximations almost at a glance. The procedure is illustrated by applications to non-linear problems in mechanics and electricity.This publication has 4 references indexed in Scilit:
- The Operational Calculus. IJournal of Applied Physics, 1939
- An Operational Treatment of Nonlinear Dynamical SystemsThe Journal of the Acoustical Society of America, 1938
- LV. On the anomalous behaviour of a vibration galvanometerJournal of Computers in Education, 1924
- Über mögliche Erweiterungen der Helmholtzschen Theorie der KombinationstöneAnnalen der Physik, 1910