Complex dynamics of a heavy symmetrical gyroscope under a parametric nonlinear damping
Year: 2025
Type: article
Abstract: This paper analyzes the chaos and coexistence of attractors of a heavy gyroscope with parametric nonlinear damping. After having found the mathematical model of the dynamics, we used the multiple scale technique to look for secondary resonances. Subsequently, the amplitude of the harmonic oscillations is determined based on the harmonic balance technique. Impact of each of the system parameters is analyzed on the amplitudes and frequency of resonances. By applying order four Runge-Kutta algorithm, the different dynamics of the gyroscope are determined and analyzed. Subharmonic resonances and harmonic oscillations are derived from the limited development the basic equation solved numerically to investigate the dynamics and coexistence of the gyroscope attractors. The analysis of impact of each parameter on the existence and disappearance of coexisting attractors is done numerically.
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $200
OpenAlex ID: W4408201927