Abstract
We display a gallery of Lorenz-like attractors that emerge in a class of three-dimensional maps. We review the theory of Lorenz-like attractors for diffeomorphisms (as opposed to flows), define various types of such attractors, and find sufficient conditions for three-dimensional Henon-like maps to possess pseudohyperbolic Lorenz-like attractors. The numerically obtained scenarios of the creation and destruction of these attractors are also presented. © EDP Sciences, 2013.
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Gonchenko, S. V., Gonchenko, A. S., Ovsyannikov, I. I., & Turaev, D. V. (2013). Examples of lorenz-like attractors in hénon-like maps. Mathematical Modelling of Natural Phenomena, 8(5), 48–70. https://doi.org/10.1051/mmnp/20138504
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