Artículos de revistas
A quasi-periodic route to chaos in a parametrically driven nonlinear medium
Fecha
2021Registro en:
Chaos Solitons & Fractals Volume 151 Article Number 111089 Published OCT 2021
10.1016/j.chaos.2021.111089
Autor
Cabañas, Ana M.
Rivas, Ronald
Pérez, Laura M.
Vélez, Javier A.
Díaz, Pablo
Clerc Gavilán, Marcel Gabriel
Pleiner, Harald
Laroze, David
Malomed, Boris A.
Institución
Resumen
Small-sized systems exhibit a finite number of routes to chaos. However, in extended systems, not all routes to complex spatiotemporal behavior have been fully explored. Starting from the sine-Gordon model of parametrically driven chain of damped nonlinear oscillators, we investigate a route to spatiotemporal chaos emerging from standing waves. The route from the stationary to the chaotic state proceeds through quasi-periodic dynamics. The standing wave undergoes the onset of oscillatory instability, which subsequently exhibits a different critical frequency, from which the complexity originates. A suitable amplitude equation, valid close to the parametric resonance, makes it possible to produce universe results. The respective phase-space structure and bifurcation diagrams are produced in a numerical form. We characterize the relevant dynamical regimes by means of the largest Lyapunov exponent, the power spectrum, and the evolution of the total intensity of the wave field.