On the dynamic of discrete-time Rayleigh-Duffing oscillators
Abstract
This paper investigates the dynamics of a discrete-time Rayleigh-Duffing oscillator exhibiting chaos in the Li-Yorke sense. We use Marotto's theorem to prove the existence of chaos by finding snap-back repeller. It is shown that the system undergoes a Neimark-Sacker bifurcation and a period-doubling bifurcation. We compute the Lyapunov exponents numerically to show sensitive dependence on initial conditions and chaotic behavior. The illustration of the results is presented using numerical simulations.
Fields of Study & Subjects
Chaos control and synchronization
stochastic dynamics and bifurcation
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Mathematical communications
- Publisher
- School of Applied Mathematics and Informatics
- Volume
- 31
- Issue
- 1
- Pages
- 61–77
- Publication date
- 2 April 2026
- Language
- EN