4 citations · 5 across the 5 of their papers we have counts for
5 papers
Hölder properties of Weierstrass-like solutions of -twisted cohomological equations
Dmitry Todorov
It is proved that bounded solutions of modified (-twisted) cohomological equations for expanding circle maps are -Hölder continuous but are not -Hölder continuous for…
Stochastic Shadowing and Stochastic Stability
Dmitry Todorov
The notion of stochastic shadowing property is introduced. Relations to stochastic stability and standard shadowing are studied. Using tent map as an example it is proved that, in…
Lipschitz inverse shadowing for nonsingular flows
Dmitry Todorov
We prove that Lipschitz inverse shadowing for nonsingular flows is equivalent to structural stability.
Non-normability of spaces of Keplerian orbits
Dmitry Todorov
We prove that spaces of Keplerian curvilinear orbits, all orbits and elliptic orbits with marked pericenter cannot carry a norm, compatible with their standard topology. We also pr…
Generalizations of analogs of theorems of Maizel and Pliss and their application in Shadowing Theory
Dmitry Todorov
We generalize two classical results of Maizel and Pliss that describe relations between hyperbolicity properties of linear system of difference equations and its ability to have a…