2 papers
math.CA2023
Weakened XVI Hilbert's Problem: Invariant Tori of the Periodic Systems with the Nine Equilibrium Points in Hamiltonian Unperturbed Part
Vladimir V. Basov, Artem S. Zhukov
Two classes of two-dimensional time-periodic systems of ordinary differential equations with a small parameter e in the perturbed part, which is continuous and, for …
math.DS2020
Invariant Tori of a Two Dimensional Periodic System with the Linear-Cubic Unperturbed Part
Vladimir V. Basov, Valery G. Romanovski, Artem S. Zhukov
Two classes of time-periodic systems of ordinary differential equations with a small nonnegative parameter, those with fast and slow time, are studied. Right-hand sides of these sy…