On different types of hyperbolic chaotic sets in the perturbed Anosov map

Title	On different types of hyperbolic chaotic sets in the perturbed Anosov map
Authors	O. M. Shilov¹, A. O. Kazakov¹ ¹Sirius University of Science and Technology
Annotation	A simple example of a map has been constructed—a two-dimensional diffeomorphism that depends on two parameters and demonstrates (when the parameter values change) the transition from an Anosov diffeomorphism to a diffeomorphism with a zero-dimensional basic set. The boundaries between these types of maps have been found, and the corresponding bifurcations have been described.
Keywords	hyperbolicity, chaotic saddle sets, DA-map.
Citation	Shilov O. M., Kazakov A. O. ''On different types of hyperbolic chaotic sets in the perturbed Anosov map'' [Electronic resource]. Proceedings of the XVII International scientific conference "Differential equations and their applications in mathematical modeling". Saransk: SVMO Publ, 2025. - pp. 285-287. Available at: https://conf.svmo.ru/files/2025/papers/paper58.pdf. - Date of access: 19.10.2025.