Techniques for Analysis of Certain Nonlinear Systems

Deekshatulu, BL (1964) Techniques for Analysis of Certain Nonlinear Systems. In: IEEE Transactions on Applications and Industry, 83 (73). pp. 258-262.

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Abstract

This paper suggests the use of simple transformations like ÿ=kx, kx2 for second-order nonlinear differential equations to effect rapid plotting of the phase-plane trajectories. The method is particularly helpful in determining quickly the trajectory slopes along simple curves in any desired region of the phase plane. New planes such as the tÿ-x, tÿ2-x are considered for the study of some groups of nonlinear time-varying systems. Suggestions for solving certain higher-order nonlinear systems are also made.

Item Type:	Journal Article
Publication:	IEEE Transactions on Applications and Industry
Publisher:	IEEE
Additional Information:	Copyright 1964 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:	Others
Date Deposited:	23 Feb 2012 10:06
Last Modified:	23 Feb 2012 10:06
URI:	http://eprints.iisc.ac.in/id/eprint/43116

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