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http://hdl.handle.net/2445/194828
Title: | On scenarios of homoclinic attractors onset in three-dimensional non-orientable maps |
Author: | Gonchenko, Alexander S. Gonchenko, Marina Kozlov, A. D. Samylina, E. A. |
Keywords: | Sistemes dinàmics diferenciables Differentiable dynamical systems |
Issue Date: | 15-Apr-2021 |
Publisher: | American Institute of Physics (AIP) |
Abstract: | We study scenarios of the appearance of strange homoclinic attractors (which contain only one fixed point of saddle type) for one-parameter families of three-dimensional non-orientable maps. We describe several types of such scenarios that lead to the appearance of discrete homoclinic attractors including Lorenz-like and figure-8 attractors (which contain a saddle fixed point) as well as two types of attractors of spiral chaos (which contain saddle-focus fixed points with the one-dimensional and two-dimensional unstable manifolds, respectively). We also emphasize peculiarities of the scenarios and compare them with the known scenarios in the orientable case. Examples of the implementation of the non-orientable scenarios are given in the case of three-dimensional non-orientable generalized Hénon maps. |
Note: | Reproducció del document publicat a: https://doi.org/10.1063/5.0039870 |
It is part of: | Chaos, 2021, vol. 31, num. 4 |
URI: | http://hdl.handle.net/2445/194828 |
Related resource: | https://doi.org/10.1063/5.0039870 |
ISSN: | 1054-1500 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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730965.pdf | 4.42 MB | Adobe PDF | View/Open |
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