9 citations · 16 across the 6 of their papers we have counts for
7 papers
Shadowing and Topological Stability via Generalized Pseudo-Hyperbolicity in Autonomous and Nonautonomous Linear Dynamics
Davor Dragicevic, Mihaly Pituk
Although generalized hyperbolicity has proved to be a fundamental notion in linear dynamics, recent results show that it is too restrictive to characterize the shadowing property o…
Resolving the generalized hyperbolicity conjecture for shadowing
Mihály Pituk
It is known that generalized hyperbolicity implies the shadowing property for invertible bounded linear operators on a Banach space. Whether the converse holds has been a central o…
Spectral characterization of shadowing for linear operators on Hilbert spaces
Mihály Pituk
In this paper, we study one of the fundamental notions in dynamical systems, the shadowing of invertible (bounded and linear) operators on a Hilbert space. Although the problem of…
Shadowing, Hyers--Ulam stability and hyperbolicity for nonautonomous linear delay differential equations
Lucas Backes, Davor Dragicevic, Mihaly Pituk
It is known that hyperbolic non\-autonomous linear delay differential equations in a finite dimensional space are Hyers--Ulam stable and hence shadowable. The converse result is av…
Shadowing and hyperbolicity for linear delay difference equations
Lucas Backes, Davor Dragicevic, Mihaly Pituk
It is known that hyperbolic linear delay difference equations are shadowable on the half-line. In this paper, we prove the converse and hence the equivalence between hyperbolicity…
Conditional Lipschitz shadowing for ordinary differential equations
Lucas Backes, Davor Dragicevic, Masakazu Onitsuka +1
We introduce the notion of conditional Lipschitz shadowing, which does not aim to shadow every pseudo-orbit, but only those which belong to a certain prescribed set. We establish t…
Semistability of complex balanced kinetic systems with arbitrary time delays
György Lipták, Katalin M. Hangos, Mihály Pituk +1
In this letter we introduce a class of delayed kinetic systems derived from mass action type reaction network models. We define the time delayed positive stoichiometric compatibili…