Constant-time loci in the phase-plane for nonlinear systems

Deekshatulu, B. L. ; Balasubramanian, R. (1965) Constant-time loci in the phase-plane for nonlinear systems Journal of the Franklin Institute, 280 (6). pp. 474-482. ISSN 0016-0032

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This paper deals with the term constant time loci (C.T.L.) in the phase-plane and shows that in piecewise linear systems, the isoclines are also the C.T.L. A relation between the slope of the phase trajectory at any point on the phase-plane and the time taken by the system to reach that point is established, assuming any one of the isoclines as the t = 0 line. As a result, in the case of piecewise linear systems, time solutions, i.e., x vs. t, can be directly determined from the phase-plane plot. An example demonstrates the efficacy of this new approach.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:9698
Deposited On:02 Nov 2010 11:00
Last Modified:31 May 2011 09:13

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