Parametric resonance induced chaos in magnetic damped driven pendulum

摘要

A damped driven pendulum with a magnetic driving force, appearing from a solenoid, where ac current flows is considered. The solenoid acts on the magnet, which is located at a free end of the pendulum. In this system the existence and interrelation of chaos and parametric resonance is theoretically examined. Derived analytical results are supported by numerical simulations and conducted experiments. (C) 2016 Elsevier B.V. All rights reserved.