New approach to the plotting of phase-plane trajectories

Deekshatulu, B. L. ; Murthy, I. Suryanarayana (1964) New approach to the plotting of phase-plane trajectories Proceedings of the Institution of Electrical Engineers (London), 111 (10). pp. 1771-1774. ISSN 0020-3270

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Official URL: http://ieeexplore.ieee.org/search/srchabstract.jsp...

Related URL: http://dx.doi.org/10.1049/piee.1964.0291

Abstract

By considering simultaneously the two planes x¿¿x¿ and x¿¿x, the isocline method is extended to find (for all initial conditions) the behaviour of second-order nonlinear autonomous systems which are not easily amenable to the usual phase-plane methods. The effect of variation of nonlinear functions can easily be studied. Simple as it is, the method is believed to be novel.

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