Geodesic
On scenarios of chaos appearance in three-dimensional nonoriented maps
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 4, pp. 17-29.

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For one-parameter families of three-dimensional nonorientable maps we study scenarios of appearance of strange homoclinic attractors (containing only one fixed point). We describe 4 different scenarios leading to discrete homoclinic nonorientable attractors: correspondingly, of Lorenz and figure-eight types (containing a saddle fixed point), and spiral attractors of two types (containing a saddle-focus fixed point). Some examples of realization of these scenarios in the case of three-dimensional nonorientable generalized Henon maps are given.
Keywords: strange attractor, Lorenz attractor, spiral attractor, invariant curve, three-dimensional generalized Henon map.
Mots-clés : homoclinic orbit 
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A. S. Gonchenko; A. D. Kozlov. On scenarios of chaos appearance in three-dimensional nonoriented maps. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 4, pp. 17-29. http://geodesic.mathdoc.fr/item/SVMO_2016_18_4_a1/

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