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2. 4. 2026.
On the dynamic of discrete-time Rayleigh-Duffing oscillators
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.