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nlin.CD2018★ 2 cited
Superconvergence of Topological Entropy in the Symbolic Dynamics of Substitution Sequences
Leon Zaporski, Felix Flicker
We consider infinite sequences of superstable orbits (cascades) generated by systematic substitutions of letters in the symbolic dynamics of one-dimensional nonlinear systems in th…
nlin.CD2017★ 21 cited
Time Quasilattices in Dissipative Dynamical Systems
Felix Flicker
We establish the existence of `time quasilattices' as stable trajectories in dissipative dynamical systems. These tilings of the time axis, with two unit cells of different duratio…
nlin.CD2017
Pell and Clapeyron Words as Stable Trajectories in Dynamical Systems
Felix Flicker
We establish the existence of `time quasicrystals', tilings of the time axis with two unit cells of different duration. These aperiodic tilings can be constructed as slices through…