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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…
math.DS2012★ 1 cited
Generalized Normal Forms of Two-Dimensional Autonomous Systems with a Hamiltonian Unperturbed Part
Arthur Vaganyan, Vladimir Basov
Generalized pseudo-Hamiltonian normal forms (GPHNF) and an effective method of obtaining them are introduced for two-dimensional systems of autonomous ODEs with a Hamiltonian quasi…