Parametric resonance induced chaos in magnetic damped driven pendulum
arXiv:1511.04593 · doi:10.1016/j.physleta.2016.05.049
Abstract
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 the 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.
References in corpus (7)
- On Nonlinear Dynamics of the Pendulum with Periodically Varying Length
- Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices
- An example of a uniformly accelerated particle detector with non-Unruh response
- Symmetry breaking in driven and strongly damped pendulum
- Strong anomalous diffusion of the phase of a chaotic pendulum
- Noise-induced dephasing of an ac-driven Josephson junction
- A computer controlled pendulum with position readout
Cited by in corpus (4)
- Analysis of the nonlinear dynamics of a single pendulum driven by a magnetic field using the magnetic charges interaction model and the experimentally fitted interaction model
- Nonlinear dynamics of a vertical pendulum driven by magnetic field provided by two coils magnets: analytical, numerical and experimental studies
- Nonlinear dynamics of a hanging string with a freely pivoting attached mass
- Dynamic State Analysis of a Driven Magnetic Pendulum using Ordinal Partition Networks and Topological Data Analysis