Birhythmicity, intrinsic entrainment, and minimal chimeras in an electrochemical experiment
JC Wiehl, M Patzauer, K Krischer - Chaos: An Interdisciplinary Journal …, 2021 - pubs.aip.org
The coexistence of limit cycles in a phase space, so called birhythmicity, is a phenomenon
known to exist in many systems in various disciplines. Yet, detailed experimental …
known to exist in many systems in various disciplines. Yet, detailed experimental …
Stochastic sensitivity analysis of noise-induced transitions in a biochemical model with birhythmicity
A mathematical model of the biochemical reaction with nonlinear recycling of the product
into substrate is considered. The main control parameter of this model is the substrate …
into substrate is considered. The main control parameter of this model is the substrate …
Bichaoticity induced by inherent birhythmicity during the oscillatory electrodissolution of silicon
A Tosolini, M Patzauer, K Krischer - Chaos: An Interdisciplinary Journal …, 2019 - pubs.aip.org
The electrodissolution of p-type silicon in a fluoride-containing electrolyte is a prominent
electrochemical oscillator with a still unknown oscillation mechanism. In this article, we …
electrochemical oscillator with a still unknown oscillation mechanism. In this article, we …
Birhythmicity, synchronization, and turbulence in an oscillatory system with nonlocal inertial coupling
V Casagrande, AS Mikhailov - Physica D: Nonlinear Phenomena, 2005 - Elsevier
We consider a model where a population of diffusively coupled limit-cycle oscillators,
described by the complex Ginzburg–Landau equation, interacts nonlocally via an inertial …
described by the complex Ginzburg–Landau equation, interacts nonlocally via an inertial …
Synchronization of eukaryotic cells by periodic forcing
We study a cell population described by a minimal mathematical model of the eukaryotic cell
cycle subject to periodic forcing that simultaneously perturbs the dynamics of the cell cycle …
cycle subject to periodic forcing that simultaneously perturbs the dynamics of the cell cycle …
Spatial desynchronization of glycolytic waves as revealed by Karhunen− Loève analysis
S Bagyan, T Mair, Y Suchorski… - The Journal of …, 2008 - ACS Publications
The dynamics of glycolytic waves in a yeast extract have been investigated in an open
spatial reactor. At low protein contents in the extract, we find a transition from inwardly …
spatial reactor. At low protein contents in the extract, we find a transition from inwardly …
Periodic forcing of a mathematical model of the eukaryotic cell cycle
In a differential equation model of the molecular network governing cell growth and division,
cell cycle phases and transitions through checkpoints are associated with certain …
cell cycle phases and transitions through checkpoints are associated with certain …
Rhythms, clocks and deterministic chaos in unicellular organisms
The cell generation or cell cycle time in a clonal population of identical unicellular organisms
growing under steady-state conditions in a carbon (or energy)-limited continuous culture …
growing under steady-state conditions in a carbon (or energy)-limited continuous culture …
Spatiotemporal Complexity in a Birhythmic System: An Experimental Study
APR Tosolini - 2023 - mediatum.ub.tum.de
We investigate spatiotemporal phenomena of the electrodissolution of Si in a fluoride-
containing electrolyte in the birhythmic parameter region, using electrochemical …
containing electrolyte in the birhythmic parameter region, using electrochemical …
Intermittent spiral breakup in the reaction-diffusion medium exhibiting birhythmic dynamics
Spontaneous spiral breakup scenarios are investigated in a reaction-diffusion glycolytic
medium exhibiting birhythmic dynamics, in which, depending on the direction the system is …
medium exhibiting birhythmic dynamics, in which, depending on the direction the system is …