Study of the bifurcation of a solution to a problem of aerohydroelasticity

Title	Study of the bifurcation of a solution to a problem of aerohydroelasticity
Authors	Y. A. Tamarova¹, P. A. Velmisov¹ ¹Ulyanovsk State Technical University
Annotation	A numerical-analytical approach to studying step-like transitions in aerohydroelastic systems is proposed. Using the Galerkin method, a nonlinear boundary value problem is reduced to a system of ordinary differential equations, for which an analytical condition for the step-like transition is obtained. The results are validated by numerical simulations using the Mathematica package.
Keywords	aerohydroelasticity, bifurcation, stability, Galerkin method.
Citation	Tamarova Y. A., Velmisov P. A. ''Study of the bifurcation of a solution to a problem of aerohydroelasticity'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 222-227. Available at: https://conf.svmo.ru/files/2026/papers/paper110.pdf. - Date of access: 25.09.2026.