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High Quality Content by WIKIPEDIA articles! A phase plane is a visual display of certain characteristics of certain kinds of differential equations. Phase planes are useful in visualizing the behavior of physical systems; in particular, of oscillatory systems such as predator-prey models. These models can "spiral in" towards zero, "spiral out" towards infinity, or reach neutrally stable situations called centres where the path traced out can be either circular, elliptical, or ovoid, or some variant thereof.