Analysis of Non-linear Differential Equations by the Volterra Series†
- 1 January 1966
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 3 (1) , 1-15
- https://doi.org/10.1080/00207176608921361
Abstract
The Volterra series is used to investigate aperiodic solutions of certain second-order differential equations with non-linear damping and non-linear restoring force. Solutions are obtained in the phase plane for trajectories with zero initial conditions. These are obtained by approximating the Volterra series, and it is shown that the approximation involved is small over a wide range of values of linear damping.Keywords
This publication has 1 reference indexed in Scilit:
- The Use of Volterra Series to Find Region of Stability of a Non-linear Differential Equation†International Journal of Control, 1965