5 papers
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…
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…
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…
Nonlinear constrained optimization of Schur test functions
Mikhail Anikushin, Andrey Romanov
We apply the iterative nonlinear programming method, previously proposed in our earlier work, to optimize Schur test functions and thereby provide refined upper bounds for the norm…
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…