The complex Ginzburg–Landau equation: an introduction
V García-Morales, K Krischer - Contemporary Physics, 2012 - Taylor & Francis
The complex Ginzburg–Landau equation (CGLE), probably the most celebrated nonlinear
equation in physics, describes generically the dynamics of oscillating, spatially extended …
equation in physics, describes generically the dynamics of oscillating, spatially extended …
Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling
L Schmidt, K Schönleber, K Krischer… - … Journal of Nonlinear …, 2014 - pubs.aip.org
We report a novel mechanism for the formation of chimera states, a peculiar spatiotemporal
pattern with coexisting synchronized and incoherent domains found in ensembles of …
pattern with coexisting synchronized and incoherent domains found in ensembles of …
Spatially organized partial synchronization through the chimera mechanism in a network of electrochemical reactions
M Wickramasinghe, IZ Kiss - Physical Chemistry Chemical Physics, 2014 - pubs.rsc.org
Detailed experimental and numerical results are presented about the pattern formation
mechanism of spatially organized partially synchronized states in a networked chemical …
mechanism of spatially organized partially synchronized states in a networked chemical …
Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media
L Schmidt, K Krischer - Chaos: An Interdisciplinary Journal of Nonlinear …, 2015 - pubs.aip.org
We study an oscillatory medium with a nonlinear global coupling that gives rise to a
harmonic mean-field oscillation with constant amplitude and frequency. Two types of cluster …
harmonic mean-field oscillation with constant amplitude and frequency. Two types of cluster …
Pattern formation during the oscillatory photoelectrodissolution of n-type silicon: turbulence, clusters and chimeras
K Schönleber, C Zensen, A Heinrich… - New Journal of …, 2014 - iopscience.iop.org
We report and classify the rich variety of patterns forming spontaneously in the oxide layer
during the oscillatory photoelectrodissolution of n-type doped silicon electrodes under …
during the oscillatory photoelectrodissolution of n-type doped silicon electrodes under …
Restoring oscillatory behavior from amplitude death with anti-phase synchronization patterns in networks of electrochemical oscillations
The dynamical behavior of delay-coupled networks of electrochemical reactions is
investigated to explore the formation of amplitude death (AD) and the synchronization states …
investigated to explore the formation of amplitude death (AD) and the synchronization states …
Self-organized distribution of periodicity and chaos in an electrochemical oscillator
We report a detailed numerical investigation of a prototype electrochemical oscillator, in
terms of high-resolution phase diagrams for an experimentally relevant section of the control …
terms of high-resolution phase diagrams for an experimentally relevant section of the control …
Clustering in globally coupled oscillators near a Hopf bifurcation: theory and experiments
A theoretical analysis is presented to show the general occurrence of phase clusters in
weakly, globally coupled oscillators close to a Hopf bifurcation. Through a reductive …
weakly, globally coupled oscillators close to a Hopf bifurcation. Through a reductive …
Irregular subharmonic cluster patterns in an autonomous photoelectrochemical oscillator
I Miethe, V García-Morales, K Krischer - Physical review letters, 2009 - APS
Unusual subharmonic cluster patterns are observed during the oscillatory electro-oxidation
of n-Si (111) under illumination. 2D in situ imaging of the electrode by means of an …
of n-Si (111) under illumination. 2D in situ imaging of the electrode by means of an …
The electro-oxidation of H2, CO in a model PEM fuel cell: Oscillations, chaos, pulses
S Kirsch, R Hanke-Rauschenbach… - Journal of the …, 2013 - iopscience.iop.org
H 2, CO electro-oxidation in a model PEM Fuel Cell (PEMFC) is investigated at 37 C with the
help of distributed current measurements. The main purpose of the experiments is to verify …
help of distributed current measurements. The main purpose of the experiments is to verify …