Circular trajectories of a simple dynamical system
For the dynamical system $\dot{x}=xy, \dot{y}=(1-x^2-y^2)/2$, the trajectories can be shown to be circles, uniquely determined by the initial condition.
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For the dynamical system $\dot{x}=xy, \dot{y}=(1-x^2-y^2)/2$, the trajectories can be shown to be circles, uniquely determined by the initial condition.
Comments
I like this a lot. Very cool!