Izvorni znanstveni članak

https://doi.org/10.64785/mc.31.1.6

On the dynamic of discrete-time Rayleigh-Duffing oscillators

Mehdi Fatehi Nia
Zehra Nurkanović
Najmeh Khajoei

Sažetak

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.

Ključne riječi

period-doubling bifurcation; Neimark-Sacker bifurcation; Lyapunov exponent; Marotto’s method; Li-Yorke chaos

Hrčak ID:

345979

URI

https://hrcak.srce.hr/345979

Datum izdavanja:

2.4.2026.

Posjeta: 196 *