633 citations
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17 papers · 1 filter
An active Lorentz gas: walking droplets in periodic media
Aleksi Majaniemi, Esko Toivonen, Rahil N. Valani +2
The Lorentz gas is a paradigmatic model in dynamical systems theory for understanding the origin of nonequilibrium transport in terms of microscopic deterministic chaos. In the per…
Diffusion in the Inverted Triangular Soft Lorentz Gas
Esko Toivonen, Aleksi Majaniemi, Rainer Klages +1
We investigate diffusion in a two-dimensional inverted soft Lorentz gas, where attractive Fermi-type potential wells are arranged in a triangular lattice. This configuration contra…
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…
Anomalous Diffusion in the Square Soft Lorentz Gas
Esko Toivonen, Joni Kaipainen, Matti Molkkari +3
We demonstrate and analyze anomalous diffusion properties of point-like particles in a two-dimensional system with circular scatterers arranged in a square lattice and governed by…
Time-Lagged Recurrence: a data-driven method to estimate the predictability of dynamical systems
Chenyu Dong, Davide Faranda, Adriano Gualandi +2
Nonlinear dynamical systems are ubiquitous in nature and they are hard to forecast. Not only they may be sensitive to small perturbations in their initial conditions, but they are…
Designing robust trajectories by lobe dynamics in low-dimensional Hamiltonian systems
Naoki Hiraiwa, Mai Bando, Isaia Nisoli +1
Modern space missions with uncrewed spacecraft require robust trajectory design to connect multiple chaotic orbits by small controls. To address this issue, we propose a control sc…