Deekshatulu, B. L.
(1963)
*The xÂ¿ ^{n}-x plane for analysis of certain second-order nonlinear systems*
IEEE Transactions on Applications and Industry, 82
(69).
pp. 315-317.
ISSN 0536-1524

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Official URL: http://ieeexplore.ieee.org/search/freesrchabstract...

Related URL: http://dx.doi.org/10.1109/TAI.1963.5407797

## Abstract

Analysis of certain second-order nonlinear systems, not easily amenable to the phase-plane methods, and described by either of the following
differential equations xÂ¿^{n-2}Â¿+ f(x)xÂ¿^{2n}+g(x)xÂ¿n+h(x)=0
Â¿+f(x)xÂ¿^{n}+h(x)=0 n » 0 can be effected easily by drawing the entire portrait of trajectories on a new plane; that is,
on one of the xÂ¿nÂ¿x planes. Simple equations are given to evaluate time from a trajectory on any of these n planes. PoincarÂ
© 's fundamental phase plane x Â¿Â¿x is conceived of as the simplest case of the general xÅ¿nÅ¿x
plane.

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ID Code: | 9745 |

Deposited On: | 02 Nov 2010 04:37 |

Last Modified: | 31 May 2011 09:11 |

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