Overview of the advances in understanding chaos in low-dimensional dynamical systems subjected to parameter drift: Parallel dynamical evolutions and” climate …

D Jánosi, T Tél - Physics Reports, 2024 - Elsevier
This paper offers a review while also studying yet unexplored features of the area of chaotic
systems subjected to parameter drift of non-negligible rate, an area where the methods of …

[HTML][HTML] Long transients in discontinuous time-discrete models of population dynamics

AY Morozov, D Almutairi, SV Petrovskii, YC Lai - Chaos, Solitons & Fractals, 2023 - Elsevier
Traditionally, mathematical modelling of population dynamics was focused on long-term,
asymptotic behaviour (systems attractors), whereas the effects of transient regimes were …

Magnetic structures in the explicitly time-dependent nontwist map

D Jánosi, A Horváth, L Édes, T Kovács - Chaos: An Interdisciplinary …, 2024 - pubs.aip.org
We investigate how the magnetic structures of the plasma change in a large aspect ratio
tokamak perturbed by an ergodic magnetic limiter, when a system parameter is non …

An ensemble based approach for the effect of climate change on the dynamics of extremes

M Herein, D Jánosi, T Tél - Frontiers in Earth Science, 2023 - frontiersin.org
In view of the growing importance of climate ensemble simulations, we propose an
ensemble approach for following the dynamics of extremes in the presence of climate …

Characterizing chaos in systems subjected to parameter drift

D Jánosi, T Tél - Physical Review E, 2022 - APS
To characterize chaos in systems subjected to parameter drift, where a number of traditional
methods do not apply, we propose viable alternative approaches, both in the qualitative and …

Attractor selection in nonlinear oscillators by temporary dual-frequency driving

P Krähling, J Steyer, U Parlitz, F Hegedűs - Nonlinear Dynamics, 2023 - Springer
This paper presents a control technique capable of driving a harmonically driven nonlinear
system between two distinct periodic orbits. A vital component of the method is a temporary …

[HTML][HTML] Where are the coexisting parallel climates? Large ensemble climate projections from the point of view of chaos theory

M Herein, T Tel, T Haszpra - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
We review the recent results of large ensemble climate projections considering them to be
the simulations of chaotic systems. The quick spread of an initially localized ensemble in the …

Permutation entropy of indexed ensembles: quantifying thermalization dynamics

A Aragoneses, A Kapulkin… - Journal of Physics …, 2023 - iopscience.iop.org
Abstract We introduce 'PI-Entropy'Π (ρ)(the Permutation entropy of an Indexed ensemble) to
quantify mixing due to complex dynamics for an ensemble ρ of different initial states evolving …

Orbital dynamics in galactic potentials under mass transfer

E Illés, D Jánosi, T Kovács - arxiv preprint arxiv:2405.16367, 2024 - arxiv.org
Time-dependent potentials are common in galactic systems that undergo significant
evolution, interactions, or encounters with other galaxies, or when there are dynamic …