Deekshatulu, B. L. (1963) The x¿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 x¿n-2¿+ f(x)x¿2n+g(x)x¿n+h(x)=0 ¿+f(x)x¿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 x¿n¿x planes. Simple equations are given to evaluate time from a trajectory on any of these n planes. Poincar © 's fundamental phase plane x ¿¿x is conceived of as the simplest case of the general xÅ¿nÅ¿x plane.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Electrical and Electronic Engineers. |
| ID Code: | 9745 |
| Deposited On: | 02 Nov 2010 04:37 |
| Last Modified: | 31 May 2011 09:11 |
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