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Waves in a simple, excitable or oscillatory, reaction-diffusion model
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/jobm.19810211028openalex-snapshot
A. T. Winfree, The Geometry of Biological Time (Biomathematics, Vol.8). 530 S., 290 Abb. Berlin‐Heidelberg‐New‐York 1980. Springer‐Verlag. DM 59,50
inferredcites →https://doi.org/10.1002/sapm1973524291openalex-snapshot
Plane Wave Solutions to Reaction‐Diffusion Equations
inferredcites →https://doi.org/10.1007/978-3-662-22492-2openalex-snapshot
The Geometry of Biological Time
inferredcites →https://doi.org/10.1007/bf00250432openalex-snapshot
The approach of solutions of nonlinear diffusion equations to travelling front solutions
inferredcites →https://doi.org/10.1016/b978-0-12-669550-2.50015-4openalex-snapshot
Impulse Propagation in Excitable Systems
inferredcites →https://doi.org/10.1016/c2013-0-11548-6openalex-snapshot
Dynamics and Modelling of Reactive Systems
inferredcites →https://doi.org/10.1090/s0002-9904-1978-14560-1openalex-snapshot
Pattern formation and periodic structures in systems modeled by reaction-diffusion equations
inferredcites →https://doi.org/10.1143/ptp.56.724openalex-snapshot
Pattern Formation in Oscillatory Chemical Reactions
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Active Rotator Model for Large Populations of Oscillatory and Excitable Elements
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Analysis of an autonomous phase model for neuronal parabolic bursting
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The behavior of rings of coupled oscillators
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n:m Phase-locking of weakly coupled oscillators
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Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities
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Rotating waves in simple scalar excitable media: approximations and numerical solutions
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Traveling waves and pulses in a one-dimensional network of excitable integrate-and-fire neurons
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Simple models for excitable and oscillatory neural networks
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Bifurcation structure of rotating wave solutions of the Fitzhugh-Nagumo equations
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Taxis-driven pattern formation in a predator-prey model with group defense
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Coherent structures near the boundary between excitable and oscillatory media
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Stability of a family of travelling wave solutions in a feedforward chain of phase oscillators
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Interactions of topological kinks in two coupled rings of nonlinear oscillators
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Parametric instability-induced synchronization in chemical oscillations and spatiotemporal patterns
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Phase and frequency shifts in a population of phase oscillators
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Clustering and phase resetting in a chain of bistable nonisochronous oscillators
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Synchronization of oscillators via active media
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Paroxysmal Starting and Stopping of Circulating Waves in Excitable Media
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Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
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Synchronization of Pulse-Coupled Biological Oscillators
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Pattern Generation in Space and Aspect
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Waves and Patterns on Regular Graphs
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Traveling Pulses in a Nonlocal Equation Arising Near a Saddle-Node Infinite Cycle Bifurcation
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Compartmental-Reaction Diffusion Framework for Microscale Dynamics of Extracellular Serotonin in Brain Tissue
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Stable Rotating Waves in Two-Dimensional Discrete Active Media
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Reflected Waves in an Inhomogeneous Excitable Medium
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PHASE RESETTING, CLUSTERS, AND WAVES IN A LATTICE OF COUPLED OSCILLATORY UNITS
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Phase Transitions in Active Rotator Systems
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Desynchronization in a Self-Oscillating Medium
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Tissue models, with programming problems from God's notebook.
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Dynamics of Strongly Coupled Spiking Neurons
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Effective desynchronization by means of double-pulse phase resetting
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Excitability in a model with a saddle-node homoclinic bifurcation
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