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From trigger to phase waves and back again
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jdeq.1996.3198openalex-snapshot
Fast and Slow Waves in the FitzHugh–Nagumo Equation
inferredcites →https://doi.org/10.1006/jdeq.2000.3855openalex-snapshot
On the Stability of Periodic Travelling Waves with Large Spatial Period
inferredcites →https://doi.org/10.1007/978-3-642-69689-3openalex-snapshot
Chemical Oscillations, Waves, and Turbulence
inferredcites →https://doi.org/10.1007/978-3-642-88317-0openalex-snapshot
Studies in Non-Linear Stability Theory
inferredcites →https://doi.org/10.1007/978-94-011-1156-0openalex-snapshot
Chemical Waves and Patterns
inferredcites →https://doi.org/10.1016/0167-2789(88)90062-0openalex-snapshot
Singular perturbation theory of traveling waves in excitable media (a review)
inferredcites →https://doi.org/10.1016/0167-2789(91)90202-kopenalex-snapshot
Alternative stable rotors in an excitable medium
inferredcites →https://doi.org/10.1016/0167-2789(93)90282-6openalex-snapshot
Šil'nikov-Hopf bifurcation
inferredcites →https://doi.org/10.1016/s0022-5193(05)80138-9openalex-snapshot
Impulse patterning and relaxation propagation in excitable media
inferredcites →https://doi.org/10.1016/s0167-2789(00)00114-7openalex-snapshot
Absolute and convective instabilities of waves on unbounded and large bounded domains
inferredcites →https://doi.org/10.1016/s0167-2789(01)00360-8openalex-snapshot
Interaction of dissipative solitons: particle-like behaviour of localized structures in a three-component reaction-diffusion system
inferredcites →https://doi.org/10.1016/s0167-2789(98)00311-xopenalex-snapshot
The non-transverse Shil’nikov–Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies
inferredcites →https://doi.org/10.1016/s1874-575x(02)80039-xopenalex-snapshot
Stability of Travelling Waves
inferredcites →https://doi.org/10.1017/cbo9780511626357openalex-snapshot
A Practical Guide to Pseudospectral Methods
inferredcites →https://doi.org/10.1017/s0022112069000176openalex-snapshot
Finite bandwidth, finite amplitude convection
inferredcites →https://doi.org/10.1021/j100089a049openalex-snapshot
Dynamics of the Oscillation Phase Distribution in the BZ Reaction
inferredcites →https://doi.org/10.1021/j100175a053openalex-snapshot
Canard explosion and excitation in a model of the Belousov-Zhabotinskii reaction
inferredcites →https://doi.org/10.1021/j100375a021openalex-snapshot
Analysis of the modified complete Oregonator accounting for oxygen sensitivity and photosensitivity of Belousov-Zhabotinskii systems
inferredcites →https://doi.org/10.1021/ja00499a001openalex-snapshot
The transition from phase waves to trigger waves in a model of the Zhabotinskii reaction
inferredcites →https://doi.org/10.1063/1.1679191openalex-snapshot
Phase waves in oscillatory chemical reactions
inferredcites →https://doi.org/10.1088/0951-7715/13/5/303openalex-snapshot
Gluing unstable fronts and backs together can produce stable pulses
inferredcites →https://doi.org/10.1088/1367-2630/6/1/062openalex-snapshot
Measuring the interaction law of dissipative solitons
inferredcites →https://doi.org/10.1103/physreve.57.6480openalex-snapshot
Interaction of self-organized quasiparticles in a two-dimensional reaction-diffusion system: The formation of molecules
inferredcites →https://doi.org/10.1103/physreve.62.7708openalex-snapshot
Absolute versus convective instability of spiral waves
inferredcites →https://doi.org/10.1103/physrevlett.61.496openalex-snapshot
Spatiotemporal Complexity in Traveling Patterns
inferredcites →https://doi.org/10.1103/physrevlett.90.148302openalex-snapshot
Oscillatory Dispersion and Coexisting Stable Pulse Trains in an Excitable Medium
inferredcites →https://doi.org/10.1103/revmodphys.65.851openalex-snapshot
Pattern formation outside of equilibrium
inferredcites →https://doi.org/10.1515/crll.1997.491.149openalex-snapshot
Spectral analysis of long wavelength periodic waves and applications.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/s10444-012-9273-0openalex-snapshot
Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations
inferred← citeshttps://doi.org/10.1007/s10884-006-9059-5openalex-snapshot
The Saddle-Node of Nearly Homogeneous Wave Trains in Reaction–Diffusion Systems
inferred← citeshttps://doi.org/10.1007/s11071-022-07296-8openalex-snapshot
Interaction of rotary pulses in a closed lattice of tunnel diode oscillators
inferred← citeshttps://doi.org/10.1007/s11538-022-01100-9openalex-snapshot
Inhibitor-Induced Wavetrains and Spiral Waves in an Extended FitzHugh–Nagumo Model of Nerve Cell Dynamics
inferred← citeshttps://doi.org/10.1016/j.amc.2011.11.005openalex-snapshot
Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations
inferred← citeshttps://doi.org/10.1016/j.amc.2015.01.109openalex-snapshot
Instability of periodic traveling wave solutions in a modified FitzHugh–Nagumo model for excitable media
inferred← citeshttps://doi.org/10.1016/j.cnsns.2015.09.002openalex-snapshot
Stability of periodic traveling waves in the Aliev–Panfilov reaction–diffusion system
inferred← citeshttps://doi.org/10.1016/j.physd.2007.07.013openalex-snapshot
The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction–diffusion systems
inferred← citeshttps://doi.org/10.1021/jp068425gopenalex-snapshot
Scroll Wave Filaments Terminate in the Back of Traveling Fronts
inferred← citeshttps://doi.org/10.1021/jz402117mopenalex-snapshot
Multiple Length Scale Instabilities of Unidirectional Pulse Propagation in a Diffusion-Fed Gel
inferred← citeshttps://doi.org/10.1038/s41467-021-23412-5openalex-snapshot
Bulk-surface coupling identifies the mechanistic connection between Min-protein patterns in vivo and in vitro
inferred← citeshttps://doi.org/10.1038/s41598-020-71999-4openalex-snapshot
Modulation of contractions in the small intestine indicate desynchronization via supercritical Andronov–Hopf bifurcation
inferred← citeshttps://doi.org/10.1063/1.2266993openalex-snapshot
Propagation failures, breathing pulses, and backfiring in an excitable reaction-diffusion system
inferred← citeshttps://doi.org/10.1080/14689360903325071openalex-snapshot
Coherent structures near the boundary between excitable and oscillatory media
inferred← citeshttps://doi.org/10.1088/1361-6544/aae1dbopenalex-snapshot
Wave train selection by invasion fronts in the FitzHugh–Nagumo equation
inferred← citeshttps://doi.org/10.1088/1742-6596/1745/1/012106openalex-snapshot
Order reduction for critical traveling wave problems
inferred← citeshttps://doi.org/10.1090/memo/1413openalex-snapshot
Spiral Waves: Linear and Nonlinear Theory
inferred← citeshttps://doi.org/10.1093/imamat/hxu048openalex-snapshot
Selection and stability of wave trains behind predator invasions in a model with non-local prey competition
inferred← citeshttps://doi.org/10.1098/rsif.2007.1327openalex-snapshot
Periodic travelling waves in cyclic populations: field studies and reaction–diffusion models
inferred← citeshttps://doi.org/10.1103/physreve.75.036202openalex-snapshot
Wave trains in an excitable FitzHugh-Nagumo model: Bistable dispersion relation and formation of isolas
inferred← citeshttps://doi.org/10.1103/physreve.78.016214openalex-snapshot
Electric-field-induced wave groupings of spiral waves with oscillatory dispersion relation
inferred← citeshttps://doi.org/10.1103/physreve.78.025101openalex-snapshot
Breathing spiral waves in the chlorine dioxide–iodine–malonic acid reaction-diffusion system
inferred← citeshttps://doi.org/10.1109/itnt49337.2020.9253177openalex-snapshot
Canard Traveling Waves in a Reaction–Diffusion Model
inferred← citeshttps://doi.org/10.1113/jp273425openalex-snapshot
Phase waves and trigger waves: emergent properties of oscillating and excitable networks in the gut
inferred← citeshttps://doi.org/10.1137/090747865openalex-snapshot
Absolute Stability of Wavetrains Can Explain Spatiotemporal Dynamics in Reaction-Diffusion Systems of Lambda-Omega Type
inferred← citeshttps://doi.org/10.1140/epjb/e2007-00228-xopenalex-snapshot
Pulse trains propagating through excitable media subjected to external noise
inferred← citeshttps://doi.org/10.1152/ajpgi.00338.2014openalex-snapshot
Effects of gap junction inhibition on contraction waves in the murine small intestine in relation to coupled oscillator theory
inferred← citeshttps://doi.org/10.1155/2021/5027127openalex-snapshot
Interaction of Self-Sustained Pulses in Tunnel-Diode Oscillator Lattices
inferred← citeshttps://doi.org/10.18287/2541-7525-2021-27-2-16-24openalex-snapshot
CRITICAL TRAVELLING WAVES IN ONE MODEL OF THE ”REACTION-DIFFUSION” TYPE
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