Numerical studies of the Lorenz attractor in the Shimizu-Morioka system

Title	Numerical studies of the Lorenz attractor in the Shimizu-Morioka system
Authors	V. A. Koryakin¹, A. O. Kazakov¹ ¹HSE University
Annotation	The study shows the existence of two types of inclination flip points cascades, leading to the appearance of a countable number of regions with Lorentz attractors. The first cascade occurs along the curve of the first tangent (violation of pseudo-hyperbolicity), the second – transversely to this curve.
Keywords	Lorenz attractor, homoclinic bifurcation, Shimizu-Morioka system
Citation	Koryakin V. A., Kazakov A. O. ''Numerical studies of the Lorenz attractor in the Shimizu-Morioka system'' [Electronic resource]. Proceedings of the XVII International scientific conference "Differential equations and their applications in mathematical modeling". Saransk: SVMO Publ, 2025. - pp. 111-113. Available at: https://conf.svmo.ru/files/2025/papers/paper22.pdf. - Date of access: 07.12.2025.