Phase plane method

Phase plane method

In the context of nonlinear system analysis, the phase plane method refers to graphically determining the existence of limit cycles. The phase plane, applicable for second order systems only, is a plot with axes being the values of the two state variables, x_2 vs. x_1. Vectors representing the derivatives [f_2(x_1,x_2),f_1(x_1,x_2)] at representative points are drawn. With enough of these arrows in place the system behavior over the entire plane can be visualized and limit cycles can be easily identified.

External links

* [http://virtual.cvut.cz/dynlabmodules/ihtml/dynlabmodules/nonlin/node8.html Overview of the phase plane method]


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