On scenarios of chaos appearance in three-dimensional nonoriented maps
A. S. Gonchenko1, A. D. Kozlov2
| Annotation | 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. |
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| Keywords | strange attractor, Lorenz attractor, spiral attractor, homoclinic orbit, invariant curve, three-dimensional generalized Henon map |
1Researcher at Research Institute of Supercomputing Technologies, Lobachevsky State University, Nizhny Novgorod; agonchenko@mail.ru
2Laboratory assistant at Institute of Supercomputing Technologies, Lobachevsky State University, Nizhny Novgorod; kozzzloff@list.ru
Citation: A. S. Gonchenko, A. D. Kozlov, "[On scenarios of chaos appearance in three-dimensional nonoriented maps]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:4 (2016) 17–29 (In Russian)
