57 citations · 320 across the 46 of their papers we have counts for
56 papers
Nonuniform dichotomies via time rescaling
Davor Dragicevic, Cesar M. Silva
We establish characterizations of general nonuniform dichotomies for linear nonautonomous dynamical systems in terms of nonuniform exponential dichotomies of appropriately time-res…
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…
Smooth linearization of nonautonomous dynamics under general dichotomic behaviour
Lucas Backes, Davor Dragicevic, Wenmeng Zhang
The main purpose of this paper is to formulate new conditions for smooth linearization of nonautonomous systems with discrete and continuous time. Our results assume that the linea…
Quenched and annealed linear response for some partially hyperbolic skew products
Davor Dragicevic, Yeor Hafouta
We prove quenched and annealed statistical stability, linear response, and differentiability of asymptotic moments for parametric families of partially hyperbolic skew products, wi…
Robustness of nonuniform exponential dichotomies under a wider class of perturbations
Davor Dragicevic
The robustness property of exponential dichotomies refers to the stability of this notion under small linear perturbations. In recent work~\cite{PPX}, the authors have identified a…
h-Dichotomies via noncritical uniformity and expansiveness for evolution families
Davor Dragicevic
In a recent paper (Math. Ann. 393 (2025), 1769--1795), Elorreaga et al. have obtained a complete characterization of the notion of a -dichotomy for ordinary differential equatio…