Overview of the advances in understanding chaos in low-dimensional dynamical systems subjected to parameter drift: Parallel dynamical evolutions and” climate …
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 …
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
Traditionally, mathematical modelling of population dynamics was focused on long-term,
asymptotic behaviour (systems attractors), whereas the effects of transient regimes were …
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 …
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
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 …
ensemble approach for following the dynamics of extremes in the presence of climate …
Characterizing chaos in systems subjected to parameter drift
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 …
methods do not apply, we propose viable alternative approaches, both in the qualitative and …
Attractor selection in nonlinear oscillators by temporary dual-frequency driving
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 …
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
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 …
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 …
quantify mixing due to complex dynamics for an ensemble ρ of different initial states evolving …
Orbital dynamics in galactic potentials under mass transfer
Time-dependent potentials are common in galactic systems that undergo significant
evolution, interactions, or encounters with other galaxies, or when there are dynamic …
evolution, interactions, or encounters with other galaxies, or when there are dynamic …