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Generalized Isocline Method of Plotting Phase-Plane Trajectories

Deekshatulu, BL and Murthy, ISN (1965) Generalized Isocline Method of Plotting Phase-Plane Trajectories. In: IEEE Transactions on Automatic Control, 10 (1). pp. 90-92.


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By considering simultaneously the N-x (or the N-x dot), where N = dx dot/dx and the x dot-x planes, second order non-linear autonomous systems (not easily amendble to the existing methods) described by the differential equation x dots = F (x, x dots) can be studied. Changes in system behavior due to changes in initial conditions, nonlinear dampling and restoring forces can easily be studied. Simple and general as it is, the method presented here is believed to be novel.

Item Type: Journal Article
Publication: IEEE Transactions on Automatic Control
Publisher: IEEE
Additional Information: ©1965 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 30 Aug 2005
Last Modified: 19 Sep 2010 04:19
URI: http://eprints.iisc.ac.in/id/eprint/3556

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