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 International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 111-113. Available at: https://conf.svmo.ru/files/2025/papers/paper22.pdf. - Date of access: 30.08.2025.