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Antispiral Waves as Sources in Oscillatory Reaction−Diffusion Media

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Mathematical Physiology
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Chemical Oscillations, Waves, and Turbulence
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Mathematical Biology
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Chemical Waves and Patterns
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Mathematical Physiology
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Periodische Signale steuern die Musterbildung in Zellverb�nden
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Propagation into unstable states: the direct Hopf bifurcation
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Sources, sinks and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave systems
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Amplitude equations for description of chemical reaction–diffusion systems
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Introduction to Nonlinear Science
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Oscillatory Kinetics in Heterogeneous Catalysis
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Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System
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Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media
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Symmetry Breaking Instabilities in Dissipative Systems. II
inferredcites →https://doi.org/10.1074/jbc.271.2.627openalex-snapshot
Traveling NADH and Proton Waves during Oscillatory Glycolysis in Vitro
inferredcites →https://doi.org/10.1103/physreva.46.r2992openalex-snapshot
Stability limits of spirals and traveling waves in nonequilibrium media
inferredcites →https://doi.org/10.1103/physreve.63.011103openalex-snapshot
Patterns formed by spiral pairs in oscillatory media
inferredcites →https://doi.org/10.1103/physreve.65.055101openalex-snapshot
Drifting pattern domains in a reaction-diffusion system with nonlocal coupling
inferredcites →https://doi.org/10.1103/physreve.68.016208openalex-snapshot
Spiral waves in a coupled network of sine-circle maps
inferredcites →https://doi.org/10.1103/physreve.68.020902openalex-snapshot
Antispirals in an artificial tissue of oscillatory cells
inferredcites →https://doi.org/10.1103/physrevlett.65.3013openalex-snapshot
Spatiotemporal concentration patterns in a surface reaction: Propagating and standing waves, rotating spirals, and turbulence
inferredcites →https://doi.org/10.1103/physrevlett.76.1619openalex-snapshot
Spiral Waves in Chaotic Systems
inferredcites →https://doi.org/10.1103/physrevlett.80.4811openalex-snapshot
Breakup of Spiral Waves into Chemical Turbulence
inferredcites →https://doi.org/10.1103/physrevlett.87.084101openalex-snapshot
Inwards Propagating Waves in a Limit Cycle Medium
inferredcites →https://doi.org/10.1103/physrevlett.87.228301openalex-snapshot
Pattern Formation in a Tunable Medium: The Belousov-Zhabotinsky Reaction in an Aerosol OT Microemulsion
inferredcites →https://doi.org/10.1103/physrevlett.88.088303openalex-snapshot
Packet Waves in a Reaction-Diffusion System
inferredcites →https://doi.org/10.1103/physrevlett.90.088302openalex-snapshot
Antispiral Waves in Reaction-Diffusion Systems
inferredcites →https://doi.org/10.1103/physrevlett.92.089801openalex-snapshot
Comment on “Antispiral Waves in Reaction-Diffusion Systems”
inferredcites →https://doi.org/10.1103/revmodphys.65.851openalex-snapshot
Pattern formation outside of equilibrium
inferredcites →https://doi.org/10.1103/revmodphys.74.99openalex-snapshot
The world of the complex Ginzburg-Landau equation
inferredcites →https://doi.org/10.1126/science.1064167openalex-snapshot
Inwardly Rotating Spiral Waves in a Reaction-Diffusion System
inferredcites →https://doi.org/10.1126/science.175.4022.634openalex-snapshot
Spiral Waves of Chemical Activity
inferredcites →https://doi.org/10.1126/science.2011747openalex-snapshot
Spiral Calcium Wave Propagation and Annihilation in Xenopus laevis Oocytes
inferredcites →https://doi.org/10.1137/0142054openalex-snapshot
Spiral Waves in Reaction-Diffusion Equations
inferredcites →https://doi.org/10.1137/030600192openalex-snapshot
Defects in Oscillatory Media: Toward a Classification
inferredcites →https://doi.org/10.1137/s0036139993249184openalex-snapshot
The Existence of Spiral Waves in an Oscillatory Reaction-Diffusion System
inferredcites →https://doi.org/10.1142/s0218127497001217openalex-snapshot
Amplitude Equations and Chemical Reaction–Diffusion Systems
inferredcites →https://doi.org/10.1143/ptp.55.2035openalex-snapshot
Spiral Waves in a Nonlinear Dissipative System
inferredcites →https://doi.org/10.1143/ptp.55.356openalex-snapshot
Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium
inferredcites →https://doi.org/10.17877/de290r-4523openalex-snapshot
Pattern Formation in a Tunable Medium
inferredcites →https://doi.org/10.5860/choice.33-3371openalex-snapshot
Introduction to nonlinear science

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Phase gradient modulation of spiral waves in cortical circuits using the complex Ginzburg–Landau equation
inferred← citeshttps://doi.org/10.1016/j.apm.2022.06.031openalex-snapshot
Emergence of hidden dynamics in different neuronal network architecture with injected electromagnetic induction
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Emergence of spiral and antispiral patterns and its CGLE analysis in leech-heart interneuron model with electromagnetic induction
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Inward Rotating Spiral Waves in Glycolysis
inferred← citeshttps://doi.org/10.1016/j.chaos.2026.118281openalex-snapshot
Shape deformation and electromagnetic induction affect wave stability in a memristive media
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A type of bi-stable spiral wave in a single-period oscillatory medium
inferred← citeshttps://doi.org/10.1016/j.physleta.2010.07.034openalex-snapshot
Heterogeneity selected target waves and their competition: Outgoing or ingoing?
inferred← citeshttps://doi.org/10.1021/jp805087mopenalex-snapshot
Spatial Desynchronization of Glycolytic Waves as Revealed by Karhunen−Loève Analysis
inferred← citeshttps://doi.org/10.1038/srep25177openalex-snapshot
Waves spontaneously generated by heterogeneity in oscillatory media
inferred← citeshttps://doi.org/10.1039/c4cc00290copenalex-snapshot
Coupled chemical oscillators and emergent system properties
inferred← citeshttps://doi.org/10.1063/1.4819900openalex-snapshot
Reversal of spiral waves in an oscillatory system caused by an inhomogeneity
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Selection of spatiotemporal patterns in arrays of spatially distributed oscillators indirectly coupled via a diffusive environment
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Spatiotemporal characteristics in systems of diffusively coupled excitable slow–fast FitzHugh–Rinzel dynamical neurons
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Stabilization of Pattern in Complex Ginzburg–Landau Equation with Spatial Perturbation Scheme
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Asymmetry in Negative Refraction of Nonlinear Waves
inferred← citeshttps://doi.org/10.1088/0253-6102/53/5/35openalex-snapshot
Multi-mode Spiral Wave in a Coupled Oscillatory Medium
inferred← citeshttps://doi.org/10.1088/0253-6102/67/6/717openalex-snapshot
Analysis of Energy Eigenvalue in Complex Ginzburg–Landau Equation*
inferred← citeshttps://doi.org/10.1088/0256-307x/26/2/024702openalex-snapshot
Pattern Formation in the Turing–Hopf Codimension-2 Phase Space in a Reaction–Diffusion System
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Negative Index Refraction in the Complex Ginzburg—Landau Equation in Connection with the Experimental CIMA Reaction
inferred← citeshttps://doi.org/10.1088/1009-1963/15/3/011openalex-snapshot
Relation between the complex Ginzburg–Landau equation and reaction–diffusion system
inferred← citeshttps://doi.org/10.1088/1674-0068/21/06/575-580openalex-snapshot
Elimination of Anti-spiral Waves by Local Inhomogeneity in Oscillatory Systems
inferred← citeshttps://doi.org/10.1088/1674-1056/17/8/016openalex-snapshot
Stabilization of spiral wave and turbulence in the excitable media using parameter perturbation scheme
inferred← citeshttps://doi.org/10.1088/1674-1056/19/5/050513openalex-snapshot
Doppler instability of antispiral waves in discrete oscillatory reaction—diffusion media
inferred← citeshttps://doi.org/10.1103/physreve.101.042219openalex-snapshot
Excited state of spiral waves in oscillatory reaction-diffusion systems caused by a pulse
inferred← citeshttps://doi.org/10.1103/physreve.108.054204openalex-snapshot
Time-delay-induced spiral chimeras on a spherical surface of globally coupled oscillators
inferred← citeshttps://doi.org/10.1103/physreve.70.065201openalex-snapshot
Pattern formation in a two-dimensional array of oscillators with phase-shifted coupling
inferred← citeshttps://doi.org/10.1103/physreve.74.036208openalex-snapshot
Propagation of wave modes and antispiral waves in a reaction-diffusion system
inferred← citeshttps://doi.org/10.1103/physreve.75.016107openalex-snapshot
Interaction and breakup of inwardly rotating spiral waves in an inhomogeneous oscillatory medium
inferred← citeshttps://doi.org/10.1103/physreve.77.056207openalex-snapshot
Sinklike spiral waves in oscillatory media with a disk-shaped inhomogeneity
inferred← citeshttps://doi.org/10.1103/physreve.78.026202openalex-snapshot
Interface-selected waves and their influence on wave competition
inferred← citeshttps://doi.org/10.1103/physreve.80.031921openalex-snapshot
Dynamical structures in binary media of potassium-driven neurons
inferred← citeshttps://doi.org/10.1103/physreve.80.036211openalex-snapshot
Nonlinear waves with negative phase velocity
inferred← citeshttps://doi.org/10.1103/physreve.80.066201openalex-snapshot
Disordered plane waves in the transition between target and antitarget patterns
inferred← citeshttps://doi.org/10.1103/physreve.84.036216openalex-snapshot
Amplitude equations for reaction-diffusion systems with cross diffusion
inferred← citeshttps://doi.org/10.1103/physreve.85.016213openalex-snapshot
Inwardly rotating spirals in nonuniform excitable media
inferred← citeshttps://doi.org/10.1103/physreve.87.062907openalex-snapshot
Chiralities of spiral waves and their transitions
inferred← citeshttps://doi.org/10.1103/physreve.88.022905openalex-snapshot
Wave competitions around interfaces of two oscillatory media
inferred← citeshttps://doi.org/10.1103/physrevlett.100.198304openalex-snapshot
Inward Propagating Chemical Waves in a Single-Phase Reaction-Diffusion System
inferred← citeshttps://doi.org/10.1140/epjb/e2013-40873-8openalex-snapshot
Pattern competition as a driver of diversity-induced resonance
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Selecting spatio-temporal patterns by substrate injection in a reaction-diffusion system
inferred← citeshttps://doi.org/10.1142/s0217979210056530openalex-snapshot
PARAMETER FLUCTUATION-INDUCED PATTERN TRANSITION IN THE COMPLEX GINZBURG–LANDAU EQUATION
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Numerical analysis on formation and transition of white-eye square superlattice patterns in dielectric barrier discharge system
inferred← citeshttps://doi.org/10.1142/s0218127424300271openalex-snapshot
Isolated Spiral Solutions of the Ginzburg–Landau Equation
inferred← citeshttps://doi.org/10.1186/1752-0509-4-165openalex-snapshot
Diffusive coupling can discriminate between similar reaction mechanisms in an allosteric enzyme system
inferred← citeshttps://doi.org/10.1209/0295-5075/79/34002openalex-snapshot
Negative refraction in nonlinear wave systems
inferred← citeshttps://doi.org/10.1209/0295-5075/91/34001openalex-snapshot
Circular-interface selected wave patterns in the complex Ginzburg-Landau equation
inferred← citeshttps://doi.org/10.1209/0295-5075/92/50005openalex-snapshot
Spiral chirality transition and tip splitting in oscillatory media with nonlocal couplings
inferred← citeshttps://doi.org/10.1209/0295-5075/95/24001openalex-snapshot
Pattern control in oscillatory systems with invisible controllers
inferred← citeshttps://doi.org/10.1209/0295-5075/97/46006openalex-snapshot
Spiral dynamics in the complex Ginzburg-Landau equation: Disorder vs. freezing
inferred← citeshttps://doi.org/10.1209/0295-5075/ac2c98openalex-snapshot
Spiral waves in population density distributions of invasive pests in warm-temperate deciduous forest ecosystems
inferred← citeshttps://doi.org/10.4028/www.scientific.net/amr.647.843openalex-snapshot
Spatial Heterogeneity Induced Antispiral Wave and Spatiotemporal Coherence Resonance
inferred← citeshttps://doi.org/10.7498/aps.65.150503openalex-snapshot
Oscillatory frequencies in spatiotemporal system with local inhomogeneity
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Numerical investigation on antispiral and antitarget wave in reaction diffusion system
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