Gonchenko, Alexander S.Gonchenko, MarinaKozlov, A. D.Samylina, Evgeniya A.2023-03-082023-03-082021-04-151054-1500https://hdl.handle.net/2445/194828We 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.application/pdfeng(c) American Institute of Physics (AIP), 2021Sistemes dinàmics diferenciablesDifferentiable dynamical systemsinfo:eu-repo/semantics/article7309652023-03-08info:eu-repo/semantics/openAccess