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Brussellator Isolas
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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/cpa.3160340403openalex-snapshot
A singularity theory analysis of a thermal‐chainbranching model for the explosion peninsula
inferredcites →https://doi.org/10.1002/sapm1976553187openalex-snapshot
Secondary Bifurcation in Nonlinear Diffusion Reaction Equations
inferredcites →https://doi.org/10.1007/bf00276025openalex-snapshot
Transition from polar to duplicate patterns
inferredcites →https://doi.org/10.1016/0167-2789(82)90048-3openalex-snapshot
A picture of the global bifurcation diagram in ecological interacting and diffusing systems
inferredcites →https://doi.org/10.1016/0301-4622(78)87005-7openalex-snapshot
Spatial structures in a reaction-diffusion system-detailed analysis of the “brussellator”
inferredcites →https://doi.org/10.1137/0133014openalex-snapshot
Singular Perturbations of Bifurcations
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/10.1002/mma.7504openalex-snapshot
Diffusion‐driven codimension‐2 Turing–Hopf bifurcation in the general Brusselator model
inferred← citeshttps://doi.org/10.1007/978-1-4613-0629-0_9openalex-snapshot
Nonlinear Optics of a Single Slightly-Relativistic Cyclotron Electron
inferred← citeshttps://doi.org/10.1007/978-1-4614-4523-4_13openalex-snapshot
Global Attractor of a Coupled Two-Cell Brusselator Model
inferred← citeshttps://doi.org/10.1007/s10483-008-0614-yopenalex-snapshot
Diffusion-driven instability and Hopf bifurcation in Brusselator system
inferred← citeshttps://doi.org/10.1007/s11071-022-07863-zopenalex-snapshot
Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions
inferred← citeshttps://doi.org/10.1007/s42985-022-00188-xopenalex-snapshot
Discontinuous stationary solutions to certain reaction-diffusion systems
inferred← citeshttps://doi.org/10.1016/0025-5564(86)90117-3openalex-snapshot
Bifurcation phenomena appearing in the Lotka-Volterra competition equations: a numerical study
inferred← citeshttps://doi.org/10.1016/0362-546x(94)00218-7openalex-snapshot
Global bifurcation in the Brusselator system
inferred← citeshttps://doi.org/10.1016/j.amc.2014.02.075openalex-snapshot
Bifurcation and stability analysis of steady states to a Brusselator model
inferred← citeshttps://doi.org/10.1016/j.aml.2015.09.018openalex-snapshot
Coexistence of activator and inhibitor for Brusselator diffusion system in chemical or biochemical reactions
inferred← citeshttps://doi.org/10.1016/j.chaos.2021.111478openalex-snapshot
Turing-Hopf bifurcation analysis and normal form of a diffusive Brusselator model with gene expression time delay
inferred← citeshttps://doi.org/10.1016/j.cnsns.2021.106079openalex-snapshot
Computer assisted proof of branches of stationary and periodic solutions, and Hopf bifurcations, for dissipative PDEs
inferred← citeshttps://doi.org/10.1016/j.compstruc.2024.107394openalex-snapshot
Control of isolated response curves through optimization of codimension-1 singularities
inferred← citeshttps://doi.org/10.1016/j.jde.2026.114812openalex-snapshot
Bifurcation structure of an SIRS epidemic model with nonlinear incidence rate: Discovery of Hopf-isola phenomena
inferred← citeshttps://doi.org/10.1016/j.jmaa.2004.12.026openalex-snapshot
Pattern formation in the Brusselator system
inferred← citeshttps://doi.org/10.1016/j.jmaa.2009.12.021openalex-snapshot
Pattern formation of a coupled two-cell Brusselator model
inferred← citeshttps://doi.org/10.1016/j.jmaa.2010.10.066openalex-snapshot
Pattern formation in a general two-cell Brusselator model
inferred← citeshttps://doi.org/10.1016/j.jmaa.2024.128683openalex-snapshot
Turing instability of periodic solutions for a general Brusselator model with cross-diffusion
inferred← citeshttps://doi.org/10.1016/j.na.2008.03.039openalex-snapshot
-energy stability via new dependent variables for circumventing strongly nonlinear reaction terms
inferred← citeshttps://doi.org/10.1016/j.na.2008.12.003openalex-snapshot
On steady-state solutions of the Brusselator-type system
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2012.04.005openalex-snapshot
Global dissipative dynamics of the extended Brusselator system
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2015.09.004openalex-snapshot
Hopf bifurcations in general systems of Brusselator type
inferred← citeshttps://doi.org/10.1016/j.physd.2005.12.005openalex-snapshot
Mesa-type patterns in the one-dimensional Brusselator and their stability
inferred← citeshttps://doi.org/10.1016/j.physd.2007.07.014openalex-snapshot
Self-replication of mesa patterns in reaction–diffusion systems
inferred← citeshttps://doi.org/10.1017/s0956792518000013openalex-snapshot
Pattern formation in bacterial colonies with density-dependent diffusion
inferred← citeshttps://doi.org/10.1063/1.5138919openalex-snapshot
Homoclinic organization in the Hindmarsh–Rose model: A three parameter study
inferred← citeshttps://doi.org/10.1088/0951-7715/21/10/007openalex-snapshot
Non-constant steady-state solutions for Brusselator type systems
inferred← citeshttps://doi.org/10.1103/byp5-gxrzopenalex-snapshot
Dynamical origin of extreme events in mutually coupled and networked Brusselator
inferred← citeshttps://doi.org/10.1103/physreva.38.3109openalex-snapshot
High-order cyclo-Raman scattering of a laser by a single electron
inferred← citeshttps://doi.org/10.1109/3.986openalex-snapshot
Hysteretic and multiphoton optical resonances of a single cyclotron electron
inferred← citeshttps://doi.org/10.1109/jqe.1985.1072812openalex-snapshot
Isolas in four-wave mixing optical bistability
inferred← citeshttps://doi.org/10.1137/0146048openalex-snapshot
A Constructive Theory of Isolas Supported by Parabolic Cusps, Centers and Bifurcation Points
inferred← citeshttps://doi.org/10.1137/0148047openalex-snapshot
New Modes of Quasi-Periodic Combustion Near a Degenerate Hopf Bifurcation Point
inferred← citeshttps://doi.org/10.1137/s003614100343651xopenalex-snapshot
Bounds for the Steady-State Sel'kov Model for Arbitrary p in Any Number of Dimensions
inferred← citeshttps://doi.org/10.1142/s0217984913500061openalex-snapshot
TURING INSTABILITY AND PATTERN FORMATION IN A SEMI-DISCRETE BRUSSELATOR MODEL
inferred← citeshttps://doi.org/10.1142/s0218127416501194openalex-snapshot
Stability and Bifurcation Analysis in a Diffusive Brusselator-Type System
inferred← citeshttps://doi.org/10.1142/s0218127420500789openalex-snapshot
High-Order Analysis of Canard Explosion in the Brusselator Equations
inferred← citeshttps://doi.org/10.1142/s0218127425501597openalex-snapshot
Turing–Hopf Bifurcation of Brusselator Model with Cross-Diffusion and Gene Expression Time Delay
inferred← citeshttps://doi.org/10.1142/s0219199710003968openalex-snapshot
TURING PATTERNS IN GENERAL REACTION-DIFFUSION SYSTEMS OF BRUSSELATOR TYPE
inferred← citeshttps://doi.org/10.1142/s1793524508000047openalex-snapshot
STABILITY OF T-PERIODIC SOLUTION ON THE EXTENDED SIMPLIFIED BRUSSELATOR MODEL
inferred← citeshttps://doi.org/10.1155/2016/8234108openalex-snapshot
Fractal Dimension Analysis of the Julia Sets of Controlled Brusselator Model
inferred← citeshttps://doi.org/10.1364/josab.8.001835openalex-snapshot
Optical parametric generator and oscillator with nonlinear losses
inferred← citeshttps://doi.org/10.3934/dcdsb.2011.15.849openalex-snapshot
Stability of positive constant steady states and their bifurcation in a biological depletion model
inferred← citeshttps://doi.org/10.3934/dcdsb.2019167openalex-snapshot
Bifurcation analysis of an enzyme-catalyzed reaction system with branched sink
inferred← citeshttps://doi.org/10.3934/math.2026272openalex-snapshot
Hopf bifurcation analysis of a modified Brusselator model with sub-interval distributed delay
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