The generation and evolution of chaotic motions in a hybrid Rayleigh–Van der Pol–Duffing
oscillator driven by parametric and amplitude-modulated excitation forces are investigated …

We study the dynamics of a parametrically and externally driven Rayleigh-Liénard hybrid
model and report the emergence of extreme bursting events due to a novel pulse-shaped …

In this paper, chaos, coexisting behaviors of attractors and passive control in a dissipative
chemical system modeled by a nonautonomous generalized mixed Rayleigh–Liénard …

This paper deals with the existence of bursting, mixed-mode oscillations (MMOs) and
horseshoe chaos in a mixed Rayleigh–Liénard oscillator with asymmetric double well …

In this paper, we report the occurrence of two distinct types of bursting oscillations (BOs) in a
parametrically excited Liénard system. When the system is linearly damped, it undergoes …

In this study, complex dynamics of Briggs–Rauscher reaction system is investigated
analytically and numerically. First, the Briggs–Rauscher reaction system is reduced into a …

This research paper examines the effects of periodic parametric damping and amplitude-
modulated signal on vibrational resonance and the occurrence of torus-doubling …

In this paper, the effects of quartic nonlinearities and constant excitation force on nonlinear
dynamics of plasma oscillations modeled by a forced Liénard-type oscillator with asymmetric …

Deriving analytical relationship between the system parameters and amplitude of the limit
cycle is a meaningful and challenging task. Currently, numerous existing analytical …

This paper focuses on the dynamics and active control of chemical oscillations governed by
a forced generalized Rayleigh oscillator. The Melnikov method is used to analytically …