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Resonant negative feedback for controlling chaos in the two-well nonautonomous oscillator

Arunas Tamasevicius, Tatjana Pyragiene, Gytis Mykolaitis, Elena Tamaseviciute, Skaidra Bumeliene
We consider second order linear resonant filter inserted in the negative feedback loop of the chaotic two-well oscillator for stabilizing unstable periodic orbit. Experiments have been performed with an electrical circuit, imitating dynamical behaviour of the two-well nonautonomous chaotic oscillator. Stabilization of periodic oscillations can be achieved with small control force. Mathematical model based on a two-well piecewise parabolic potential is discussed and numerical simulations are presented.
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