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• W2030813267 abstract "We discuss a rather new phenomenon in chaotic dynamics connected with the fact that some three-dimensional diffeomorphisms can possess wild Lorenz-type strange attractors. These attractors persist for open domains in the parameter space. In particular, we report on the existence of such domains for a three-dimensional Hénon map (a simple quadratic map with a constant Jacobian which occurs in a natural way in unfoldings of several types of homoclinic bifurcations). Among other observations, we have evidence that there are different types of Lorenz-like attractor domains in the parameter space of the 3D Hénon map. In all cases the maximal Lyapunov exponent, Λ 1 , is positive. Concerning the next Lyapunov exponent, Λ 2 , there are open domains where it is definitely positive, others where it is definitely negative and, finally, domains where it cannot be distinguished numerically from zero (i.e. |Λ 2 | < ρ, where ρ is some tolerance ranging between 10 -5 and 10 -6 ). Furthermore, several other types of interesting attractors have been found in this family of 3D Hénon maps." @default.
• W2030813267 created "2016-06-24" @default.
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• W2030813267 date "2005-11-01" @default.
• W2030813267 modified "2023-09-27" @default.
• W2030813267 title "THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS" @default.
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• W2030813267 doi "https://doi.org/10.1142/s0218127405014180" @default.
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