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math.DS2020
A general approach to nonautonomous shadowing for nonlinear dynamics
Lucas Backes, Davor Dragičević
Given a nonautonomous and nonlinear differential equation \begin{equation}\label{DE} x'=A(t)x+f(t,x) \quad t\geq 0, \end{equation} on an arbitrary Banach space , we formulate ve…
math.DS2020
Quasi-shadowing for partially hyperbolic dynamics on Banach spaces
Lucas Backes, Davor Dragicevic
A partially hyperbolic dynamical system is said to have the quasi-shadowing property if every pseudotrajectory can be shadowed by a sequence of points such that $…