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math.DS2013★ 3 cited
Nonwandering sets of interval skew products
Victor Kleptsyn, Denis Volk
In this paper we consider a class of skew products over transitive subshifts of finite type with interval fibers. For a natural class of 1-parameter families we prove that for all…
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…