Szukana fraza: [Abstract = "Numerical simulations not only exhibit our results with the theoretical analysis, but also show the complex dynamical behaviors, such as the period\-3, 6, 9, 12, 20, 63, 70, 112 orbits, a cascade of period\-doubling bifurcations in period\-2, 4, 8, 16, quasi\-periodic orbits, an attracting invariant circle, an inverse period\-doubling bifurcation from the period\-32 orbit leading to chaos and a boundary crisis, a sudden onset of chaos and a sudden disappearance of the chaotic dynamics, attracting chaotic sets and non\-attracting sets."]

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