Deekshatulu, BL (1963) The xÂ¿n-x Plane for Analysis of Certain Second-Order Nonlinear Systems. In: IEEE Transactions on Applications and Industry, 82 (69). pp. 315-317.
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Analysis of certain second-order nonlinear systems, not easily amenable to the phase-plane methods, and described by either of the following differential equations xÃÂ¿n-2ÃÂ¿+ f(x)xÃÂ¿2n+g(x)xÃÂ¿n+h(x)=0 ÃÂ¿+f(x)xÃÂ¿n+h(x)=0 n≫0 can be effected easily by drawing the entire portrait of trajectories on a new plane; that is, on one of the xÃÂ¿nÃÂ¿x planes. Simple equations are given to evaluate time from a trajectory on any of these n planes. PoincarÃÂ©'s fundamental phase plane xÃÂ¿ÃÂ¿x is conceived of as the simplest case of the general xÃÂ¿nÃÂ¿x plane.
|Item Type:||Journal Article|
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|Date Deposited:||27 Feb 2012 09:44|
|Last Modified:||27 Feb 2012 09:44|
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