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The Helmholtzian equation: Stabilizing mechanisms for quadratic nonlinear fields

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Publication:1890685
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DOI10.1016/0167-2789(95)00053-7zbMath0888.34042OpenAlexW2025749059MaRDI QIDQ1890685

C. B. Price

Publication date: 21 May 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00053-7


zbMATH Keywords

neural fieldHelmholtzian operator


Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05) Ordinary differential equations and systems on manifolds (34C40)



Uses Software

  • AUTO
  • AUTO-86


Cites Work

  • Unnamed Item
  • Global solutions of reaction-diffusion systems
  • Resonant triad interactions in symmetric systems
  • Reaction-diffusion equation describing morphogenesis. I: Waveform stability of stationary wave solutions in a one dimensional model
  • A mathematical theory of visual hallucination patterns
  • Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps
  • Gravitational instabilities of thin liquid layers: dynamics of pattern selection
  • A logical calculus of the ideas immanent in nervous activity
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