We report a novel mechanism for the formation of chimera states, peculiar spatiotemporal pattern with coexisting synchronized and incoherent domains found in ensembles identical oscillators. Considering Stuart-Landau oscillators, we demonstrate that nonlinear global coupling can induce this symmetry breaking. find states also spatially extended system, modified complex Ginzburg-Landau equation. This theoretical prediction is validated an oscillatory electrochemical electro-oxidation silicon,...

We present a universal characterization scheme for chimera states applicable to both numerical and experimental data sets. The is based on two correlation measures that enable meaningful definition of as well their classification into three categories: stationary, turbulent breathing. In addition, these categories can be further subdivided according the time-stationarity measures. demonstrate this approach consistent with previously recognized enables us classify chimeras which have not been...

The parameters entering the kinetics for mechanism of catalytic CO oxidation have been adapted a Pt(110) surface, giving rise to two-variable model correctly predicting bistability. Oscillations are obtained when, in addition, adsorbate-driven 1×2–1×1 structural phase transition is taken into account. Mixed-mode oscillations can be qualitatively explained by including faceting surface as fourth variable. limitations essentially stem from fact that only ordinary differential equations...

Empirical orthogonal eigenfunctions are extracted from biomechanical simulations of normal and chaotic vocal fold oscillations. For phonation, two dominant empirical capture the vibration patterns folds exhibit a 1:1 entrainment. The show some correspondence to theoretical low-order modes simplified, three-dimensional elastic continuum, linearized two-mass model. also facilitate physical interpretation energy transfer mechanisms in dynamics. Subharmonic regimes oscillations observed during...

A bifurcation leading to the onset of translational motion localized particlelike structures (spots) in two-dimensional excitable media with long-range inhibition and global coupling is analytically numerically investigated. Properties slowly traveling spots effects collisions between these objects are studied.

The complex Ginzburg–Landau equation (CGLE), probably the most celebrated nonlinear in physics, describes generically dynamics of oscillating, spatially extended systems close to onset oscillations. Using symmetry arguments, this article gives an easy access and introduction into rich spatio-temporal behaviour it describes. Starting out from familiar linear oscillator, we first show how generic model for individual so-called Stuart–Landau equation, can be derived arguments. Then, extend our...

The coexistence of coherently and incoherently oscillating parts in a system identical oscillators with symmetrical coupling, i.e., chimera state, is even observable uniform global coupling. We address the question prerequisites for these states to occur globally coupled systems. By analyzing two different types found nonlinear we show that clustering mechanism split ensemble into groups needed as first step. In fact, inherit properties from cluster which they originate. Remarkably, can...

We report stationary, nonequilibrium potential and adsorbate patterns with an intrinsic wavelength that were observed in electrochemical system a specific type of current/electrode-potential (I-phi(DL)) characteristic. The emerge owing to the interplay self-enhancing step reaction dynamics long-range inhibition by migration currents rather than diffusion. Theoretical analysis revealed this self-structuring electrode occurs all systems S-shaped I-phi(DL) characteristic wide well-accessible...

The effect of boundaries on pattern formation was studied for the catalytic oxidation carbon monoxide platinum surfaces. Photolithography used to create microscopic reacting domains polycrystalline foils and single-crystal (110) surfaces with inert titanium overlayers. Certain domain geometries give rise patterns that have not been observed untreated catalyst bring light surface mechanisms no analog in homogeneous reaction-diffusion systems.

Abstract Artificial neural networks (ANNs) are often used for short term discrete time predictions of experimental data. In this paper we focus on the capability such nets to correctly identify long behavior and, in particular, observed bifurcations. As show, usual mapping approach is (precisely because its nature) incapable reproducing bifurcation sequences. If interest only periodic or temporally more complicated behavior, a Poincaré map extracted from series can be circumvent problem. A...

Abstract Electrocatalysis plays a crucial role in realizing the transition toward zero‐carbon future, driving research directions from green hydrogen generation to carbon dioxide reduction. Surface‐enhanced infrared absorption spectroscopy (SEIRAS) is suitable method for investigating electrocatalytic processes because it can monitor with chemical specificity mechanisms of reactions. However, remains difficult detect many relevant aspects electrochemical reactions such as short‐lived...

Abstract In a system of heterogeneous (Abelian) Kuramoto oscillators with random or ‘frustrated’ interactions, transitions from states incoherence to partial synchronization were observed. These so-called volcano are characterized by change in the shape local field distribution and discussed connection an oscillator glass. this paper, we consider different class oscillators, namely (non-Abelian) SU(2)-Lohe that can also be defined on 3-sphere, i.e. is generalized as unit vector...

Surface-enhanced spectroscopy techniques are the method-of-choice to characterize adsorbed intermediates occurring during electrochemical reactions, which crucial in realizing a green and sustainable future. Characterizing species with low coverage or short lifetimes has so far been limited by signal enhancement. Recently, single-band metasurface-driven surface-enhanced infrared absorption (SEIRAS) pioneered as promising technology monitor single vibrational mode CO oxidation. However,...

The potential dependence of resonance conditions for the excitation surface plasmons was exploited to obtain two-dimensional images distribution an electrode with high temporal resolution. This method allows study spatiotemporal patterns in electrochemical systems. Potential waves traveling across a speed on order meters per second were observed bistable regime oscillatory reaction. velocity is close that nerve fibers and far greater than reaction-diffusion other chemical

A specific feature of pattern formation in electrochemical systems is the occurrence accelerated fronts; they can be attributed to long-range spatial coupling. In this paper we demonstrate that different coupling functions realized by tuning easily accessible parameters: The range crucially depends on length scales system, and strength proportional conductivity electrolyte. Simulations bistable regime are presented which illustrate how front behavior changes qualitatively when or varied.

Abstract The occurrence of instabilities in chemically reacting systems, resulting unsteady and spatially inhomogeneous reaction rates, is a widespread phenomenon. In this article, we use nonlinear signal processing techniques to extract simple, but accurate, dynamic model from experimental data system with spatiotemporal variations. approach consists combination two steps. proper orthogonal decomposition [POD or Karhunen‐Loève (KL) expansion] allows us determine active degrees freedom...

Abstract Oscillatory media can exhibit the coexistence of synchronized and desynchronized regions, so-called chimera states, for uniform parameters symmetrical coupling. In a phase-balanced state, where totals respectively, are same size, symmetry system predicts that interchanging both phases still gives solution to underlying equations. We observe this kind interchange as self-emerging phenomenon in an oscillatory medium with nonlinear global An interplay between local couplings renders...

Symmetry broken states arise naturally in oscillatory networks. In this Letter, we investigate chaotic attractors an ensemble of four mean-coupled Stuart-Landau oscillators with two being synchronized. We report that these partially symmetry, so-called chimera states, have different setwise symmetries the incoherent oscillators, and particular, some are not invariant under a permutation symmetry on average. This allows for classification small conclude our discussion related spatially...