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math.DS2024
Singular points in generic two-parameter families of vector fields on 2-manifold
Dmitry A. Filimonov, Yulij S. Ilyashenko
In this paper, we give a full description of all possible singular points that occur in generic 2-parameter families of vector fields on compact 2-manifolds. This is a part of a la…
math.DS2013
On the adjacency quantization in the equation modelling the Josephson effect
Alexey Glutsyuk, Dmitry Filimonov, Victor Kleptsyn +1
We investigate two-parametric family of non-autonomous ordinary differential equations on the two-torus $$\dot x=\frac{dx}{dt}=ν\sin x + a + s \sin t, \ a,ν,s\in\rr; \ ν\neq0 \text…