Nonlinear Magnetic Pendulum Dynamics with Position-Dependent Excitation Phase
A single-degree-of-freedom pendulum carrying a permanent magnet and driven by a coil current, modeled by a Newton-Euler equation of motion combining gravity, a linear spring, Stribeck (Coulomb-plus-static) friction, and a Gaussian magnetic-torque term whose sinusoidal driving phase is made a linear function of the pendulum's angular position. Recast in dimensionless form and studied by numerical bifurcation diagrams and the largest Lyapunov exponent, the system displays coexisting periodic attractors, rich multistability, and period-doubling routes to chaos, with simulated phase trajectories closely matching experiment.
Dynamics of Pendulum Forced by a Magnetic Excitation with Position-Dependent Phase
This study investigates the dynamics of a magnetic pendulum under time-varying magnetic excitation with a position-dependent phase. The system exhibits complex chaotic and regular dynamics, validated…