5 citations · 8 across the 3 of their papers we have counts for
6 papers · 1 filter
Robust upper estimates for topological entropy via nonlinear constrained optimization over adapted metrics
Mikhail Anikushin, Andrey Romanov
We present an analytical-numerical method providing robust upper estimates for the topological entropy or, more generally, uniform volume growth exponents of differentiable mapping…
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…
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…
The Poincaré-Bendixson theory for certain compact semi-flows in Banach spaces
Mikhail Anikushin
We study semiflows satisfying a certain squeezing condition with respect to a quadratic functional in some Banach space. Under certain compactness assumptions from our previous res…
Dimension Theory Approach to the Complexity of Almost Periodic Trajectories
Mikhail Anikushin
We introduce and study a dimensional-like characteristic of an uniformly almost periodic function, which we call the Diophantine dimension. By definition, it is the exponent in the…
Badly Approximable Numbers and the Growth Rate of the Inclusion Length of an Almost Periodic Function
Mikhail Anikushin
We study the growth rate of the inclusion length of an almost periodic function. For a given a. p. function such growth rate depends on the algebraic structure of Fourier exponents…