Resonance and chaos analysis of fractional-order nonlinear systems with Rayleigh–Duffing terms

J Ren, J Xie, J Yang, Y Liu, W Shi, J Si - Nonlinear Dynamics, 2024 - Springer
In this paper, the bifurcation, vibrational resonance and chaotic motion of a fractional-order
dual-frequency system with Rayleigh–Duffing term are studied. Firstly, by using the …

Chaos detection and control of a fractional piecewise-smooth system with nonlinear damping

Y Zhang, J Li, S Zhu, H Zhao - Chinese Journal of Physics, 2024 - Elsevier
Chaotic response is a robust effect in natural systems, and it is usually unfavorable for
applications owing to uncertainty. In this paper, we propose several control strategies to …