Chaos analysis of a class of fractional-order Duffing–Rayleigh oscillators with unilateral impact

Wan-qi Sun, Mei-qi Wang, Jun Wang, Peng-fei Liu, Rui-chen Wang, School of Transportation, Shijiazhuang Tiedao University, School of Mechanical Engineering, Shijiazhuang Tiedao University, State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University

Journal of Vibration and Control

Published online on November 28, 2025

Abstract

Journal of Vibration and Control, Ahead of Print.
This paper investigates the chaotic threshold of a class of fractional-order Duffing–Rayleigh oscillators with unilateral impact based on the classical Melnikov method. The fractional derivative is formulated using the Caputo definition, and the ...