14 citations · 59 across the 15 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.DS2023
Frequency conditions for the global stability of nonlinear delay equations with several equilibria
Mikhail Anikushin, Andrey Romanov
In our adjacent work, we developed a spectral comparison principle for compound cocycles generated by delay equations. It allows to derive frequency inequalities for the uniform ex…
math.DS2023
Variational description of uniform Lyapunov exponents via adapted metrics on exterior products
Mikhail Anikushin
In this work, we present a comprehensive study of the relationship among uniform Lyapunov exponents, the Liouville trace formula, and adapted metrics for cocycles in Hilbert spaces…
math.DS2023★ 1 cited
Spectral comparison of compound cocycles generated by delay equations in Hilbert spaces
Mikhail Anikushin
We study linear cocycles generated by nonautonomous delay equations in a suitable Hilbert space and their extensions, called compound cocycles, to exterior powers. Using a recent v…