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4 papers · 2 filters
Identifying complex periodic windows in continuous-time dynamical systems using recurrence-based methods
Yong Zou, Reik V. Donner, Jonathan F. Donges +2
The identification of complex periodic windows in the two-dimensional parameter space of certain dynamical systems has recently attracted considerable interest. While for discrete…
Direct regular-to-chaotic tunneling rates using the fictitious integrable system approach
Arnd Bäcker, Roland Ketzmerick, Steffen Löck
We review the fictitious integrable system approach which predicts dynamical tunneling rates from regular states to the chaotic region in systems with a mixed phase space. It is ba…
Fractional-Power-Law Level-Statistics due to Dynamical Tunneling
Arnd Bäcker, Roland Ketzmerick, Steffen Löck +1
For systems with a mixed phase space we demonstrate that dynamical tunneling universally leads to a fractional power law of the level-spacing distribution P(s) over a wide range of…
Ambiguities in recurrence-based complex network representations of time series
Reik V. Donner, Yong Zou, Jonathan F. Donges +2
Recently, different approaches have been proposed for studying basic properties of time series from a complex network perspective. In this work, the corresponding potentials and li…