Analysis of Non-linear Differential Equations by the Volterra Series†
作者:
J. WADDINGTON,
F. FALLSIDE,
期刊:
International Journal of Control
(Taylor Available online 1966)
卷期:
Volume 3,
issue 1
页码: 1-15
ISSN:0020-7179
年代: 1966
DOI:10.1080/00207176608921361
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
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.
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