Chaotic dynamics even in the highly damped swing equations of power systems

The authors present a simulation of the equations of a two-machine swing, each component of which has nonzero damping. The simulation confirms the nonempty transversal intersection of the stable and unstable manifolds of a saddle point and its replica. This intersection means that a homoclinic orbit exists in the dynamics. This in turn implies the existence of chaotic dynamics in the two-machine system.<
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