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19932026
most citedMeasuring Information Transfer

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191 papers · 1 filter

nlin.CD2024★ 5 cited

Singularity of Levy walks in the lifted Pomeau-Manneville map

Samuel Brevitt, Alexander Schulz, Dominic Pegler +2

Since groundbreaking works in the 1980s it is well-known that simple deterministic dynamical systems can display intermittent dynamics and weak chaos leading to anomalous diffusion…

nlin.CD2024★ 3 cited

Efficient detection of chaos through the computation of the Generalized Alignment Index (GALI) by the multi-particle method

Bertin Many Manda, Malcolm Hillebrand, Charalampos Skokos

We present a method for the computation of the Generalized Alignment Index (GALI), a fast and effective chaos indicator, using a multi-particle approach that avoids variational equ…

nlin.CD2023★ 4 cited

Transition to anomalous dynamics in a simple random map

Jin Yan, Moitrish Majumdar, Stefano Ruffo +3

The famous Bernoulli shift (or dyadic transformation) is perhaps the simplest deterministic dynamical system exhibiting chaotic dynamics. It is a piecewise linear time-discrete map…

nlin.CD2023★ 4 cited

Spectral form factors and dynamical localization

Črt Lozej

Quantum dynamical localization occurs when quantum interference stops the diffusion of wave packets in momentum space. The expectation is that dynamical localization will occur whe…

nlin.CD2022★ 16 cited

Phenomenology of quantum eigenstates in mixed-type systems: lemon billiards with complex phase space structure

Črt Lozej, Dragan Lukman, Marko Robnik

The boundary of the lemon billiards is defined by the intersection of two circles of equal unit radius with the distance 2B between their centers, as introduced by Heller and Tomso…

nlin.CD2021★ 4 cited

Bogolyubov's averaging theorem applied to the Kramers-Henneberger Hamiltonian

Elena Floriani, Jonathan Dubois, Cristel Chandre

We apply Bogolyubov's averaging theorem to the motion of an electron of an atom driven by a linearly polarized laser field in the Kramers-Henneberger frame. We provide estimates of…