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Stable pattern and standing wave formation in a simple isothermal cubic autocatalytic reaction scheme

https://doi.org/10.1007/bf00043976
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What this work says

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

inferredcites →https://doi.org/10.1002/9783527617609openalex-snapshot
Perturbation Methods
inferredcites →https://doi.org/10.1007/978-3-662-08539-4openalex-snapshot
Mathematical Biology
inferredcites →https://doi.org/10.1007/bf00127669openalex-snapshot
On the structural stability of a simple pooled chemical system
inferredcites →https://doi.org/10.1007/bf00256382openalex-snapshot
Bifurcation analysis near a double eigenvalue of a model chemical reaction
inferredcites →https://doi.org/10.1007/bf00275996openalex-snapshot
Pattern sensitivity to boundary and initial conditions in reaction-diffusion models
inferredcites →https://doi.org/10.1007/bf02459519openalex-snapshot
Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions
inferredcites →https://doi.org/10.1016/0009-2509(83)80132-8openalex-snapshot
Autocatalytic reactions in the isothermal, continuous stirred tank reactor
inferredcites →https://doi.org/10.1016/0009-2509(84)87017-7openalex-snapshot
Autocatalytic reactions in the isothermal, continuous stirred tank reactor
inferredcites →https://doi.org/10.1016/0022-5193(79)90042-0openalex-snapshot
Simple chemical reaction systems with limit cycle behaviour
inferredcites →https://doi.org/10.1016/0022-5193(82)90063-7openalex-snapshot
Parameter space for turing instability in reaction diffusion mechanisms: A comparison of models
inferredcites →https://doi.org/10.1021/j100247a009openalex-snapshot
Sustained oscillations and other exotic patterns of behavior in isothermal reactions
inferredcites →https://doi.org/10.1021/ja00378a011openalex-snapshot
Detailed studies of propagating fronts in the iodate oxidation of arsenous acid
inferredcites →https://doi.org/10.1080/02681118908806069openalex-snapshot
Reaction-diffusion in a simple pooled chemical system
inferredcites →https://doi.org/10.1080/02681118908806076openalex-snapshot
Pattern formation through reaction and diffusion in a simple pooled-chemical system
inferredcites →https://doi.org/10.1098/rspa.1986.0015openalex-snapshot
The application of singularity theory to isothermal autocatalytic open systems: the elementary scheme A + m B = ( m + 1)B
inferredcites →https://doi.org/10.1098/rspa.1986.0077openalex-snapshot
Oscillatory chemical reactions in closed vessels
inferredcites →https://doi.org/10.1098/rspa.1988.0001openalex-snapshot
Review Lecture - Instabilities and oscillations in chemical reactions in closed and open systems
inferredcites →https://doi.org/10.1098/rspa.1988.0041openalex-snapshot
Analysis of chemical kinetic systems over the entire parameter space - II. Isothermal oscillators
inferredcites →https://doi.org/10.1111/j.1432-1033.1968.tb00175.xopenalex-snapshot
Self‐Oscillations in Glycolysis 1. A Simple Kinetic Model
inferredcites →https://doi.org/10.1137/0147068openalex-snapshot
On the Creation, Growth and Extinction of Oscillatory Solutions for a Simple Pooled Chemical Reaction Scheme
inferredcites →https://doi.org/10.1137/0907040openalex-snapshot
The Pseudo-Spectral Method and Path Following in Reaction-Diffusion Bifurcation Studies
inferredcites →https://doi.org/10.1137/1017006openalex-snapshot
Multiple Eigenvalues Lead to Secondary Bifurcation

What points at this work

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

inferred← citeshttps://doi.org/10.1007/s10440-023-00576-4openalex-snapshot
Stability and Pattern Formation in a General Class of Reaction-Diffusion-Advection System
inferred← citeshttps://doi.org/10.1007/s10483-007-0912-1openalex-snapshot
Bifurcation and pattern formation in a coupled higher autocatalator reaction diffusion system
inferred← citeshttps://doi.org/10.1016/j.apm.2007.12.013openalex-snapshot
Stability and pattern formation in a coupled arbitrary order of autocatalysis system
inferred← citeshttps://doi.org/10.1016/j.cnsns.2026.110824openalex-snapshot
Bifurcation analysis and spatiotemporal dynamics for a high-order autocatalysis model with diffusion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2017.11.010openalex-snapshot
Qualitative analysis on positive steady-state solutions for an autocatalysis model with high order
inferred← citeshttps://doi.org/10.1016/s0167-2789(01)00345-1openalex-snapshot
Parameter space analysis, pattern sensitivity and model comparison for Turing and stationary flow-distributed waves (FDS)
inferred← citeshttps://doi.org/10.1016/s0167-2789(98)00206-1openalex-snapshot
Spatio-temporal structures in a differential flow reactor with cubic autocatalator kinetics
inferred← citeshttps://doi.org/10.1023/a:1004282809312openalex-snapshot
Differential-flow-induced instability in a cubic autocatalator system
inferred← citeshttps://doi.org/10.1023/a:1004799200173openalex-snapshot
Creation of spatial structure by an electric field applied to an ionic cubic autocatalator system
inferred← citeshttps://doi.org/10.1023/a:1019159427561openalex-snapshot
On the origin of Turing instability
inferred← citeshttps://doi.org/10.1080/713603747openalex-snapshot
The development of spatial structure in an ionic chemical system induced by applied electric fields
inferred← citeshttps://doi.org/10.1103/physreve.57.3246openalex-snapshot
Interaction between Hopf and convective instabilities in a flow reactor with cubic autocatalator kinetics
inferred← citeshttps://doi.org/10.1103/physreve.62.113openalex-snapshot
Non-Turing stationary patterns in flow-distributed oscillators with general diffusion and flow rates
inferred← citeshttps://doi.org/10.1103/physreve.64.026209openalex-snapshot
Explosion of limit cycles and chaotic waves in a simple nonlinear chemical system
inferred← citeshttps://doi.org/10.1103/physreve.88.062909openalex-snapshot
Synchronization of chemical noise-sustained structures in asymmetrically coupled differential-flow reactors
inferred← citeshttps://doi.org/10.3934/cpaa.2015.14.1147openalex-snapshot
Steady-state solutions and stability for a cubic autocatalysis model
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