Some improvements in the phase-plane delta method

Deekshatulu, B. L. ; Prusty, Sarbeshwar (1966) Some improvements in the phase-plane delta method Journal of the Franklin Institute, 281 (2). pp. 154-165. ISSN 0016-0032

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/001600...

Related URL: http://dx.doi.org/10.1016/0016-0032(66)90282-1

Abstract

This paper presents a novel method of obtaining the entire phase-portrait by the phase-plane δ-method. The inherent difficulty in the existing isocline method due to the presence of quadratic and interacting functions in δand x is eliminated. The use of the phase-plane δdot -method in the x-δ plane for the solution of non-linear systems is suggested. Error analysis shows that the δ dot-method is more accurate than the existing δ-method.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:9697
Deposited On:02 Nov 2010 11:00
Last Modified:31 May 2011 09:13

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