Techniques for analysis of certain nonlinear systems

Deekshatulu, B. L. (1964) Techniques for analysis of certain nonlinear systems IEEE Transactions on Applications and Industry, 83 (73). pp. 258-262. ISSN 0536-1524

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This paper suggests the use of simple transformations like  ¿=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 t  ¿ -x, t  ¿2-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.

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