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Browsing by Subject "isolating segments"

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    Item type:Article, Access status: Open Access ,
    A study of chaos for processes under small perturbations II - rigorous proof of chaos
    (2010) Oprocha, Piotr; Wilczyński, Paweł
    In the present paper we prove distributional chaos for the Poincaré map in the perturbed equation $\dot{z}=\left(1 + e^{i\kappa t} |z|^2\right)\bar{z}^2 - N e^{-i\frac{\pi}{3}}.$ Heteroclinic and homoclinic connections between two periodic solutions bifurcating from the stationary solution $0$ present in the system when $N = 0$ are also discussed.