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Homoclinic solutions to the Gray-Scott model.

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Publication:1767232
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DOI10.1016/j.am1.2004.02.004zbMath1122.37305OpenAlexW2035463343MaRDI QIDQ1767232

Shangbing Ai

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.am1.2004.02.004

zbMATH Keywords

contraction mapping principleGray-Scott modelHomoclinic solutions


Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


Related Items

On pattern formation in the Gray-Scott model, Stationary periodic and homoclinic solutions for nonlocal reaction-diffusion equations, Some nonexistence results for nonconstant stationary solutions to the Gray-Scott model in a bounded domain



Cites Work

  • Stability and instability in the Gray-Scott model: The case of equal diffusivities
  • Slowly Modulated Two-Pulse Solutions in the Gray--Scott Model I: Asymptotic Construction and Stability
  • A stability index analysis of 1-D patterns of the Gray-Scott model
  • Pattern formation in the one-dimensional Gray - Scott model
  • Exact Homoclinic and Heteroclinic Solutions of the Gray--Scott Model for Autocatalysis
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