Hopf bifurcations in general systems of Brusselator type
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Publication:891854
DOI10.1016/j.nonrwa.2015.09.004zbMath1329.35053OpenAlexW2176170818MaRDI QIDQ891854
Publication date: 17 November 2015
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.09.004
Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
- Unnamed Item
- Unnamed Item
- Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
- Diffusion-driven instability and Hopf bifurcation in Brusselator system
- Dynamics of local map of a discrete Brusselator model: Eventually trapping regions and strange attractors
- Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Global dynamics of the Brusselator equations
- Mesa-type patterns in the one-dimensional Brusselator and their stability
- Pattern formation in the Brusselator system
- Pattern formation in a general glycolysis reaction-diffusion system
- Brussellator Isolas
- Non-constant steady-state solutions for Brusselator type systems
- TURING PATTERNS IN GENERAL REACTION-DIFFUSION SYSTEMS OF BRUSSELATOR TYPE
- The chemical basis of morphogenesis
- Global bifurcation in the Brusselator system
- Normal form for Hopf bifurcation of partial differential equations on the square