University of Worcester Worcester Research and Publications
 
  USER PANEL:
  ABOUT THE COLLECTION:
  CONTACT DETAILS:

The Helmholtzian Equation: Stabilizing Mechanisms for Quadratic Nonlinear Fields

Price, Colin ORCID: https://orcid.org/0000-0002-2173-9897 (1995) The Helmholtzian Equation: Stabilizing Mechanisms for Quadratic Nonlinear Fields. Physica D: Nonlinear Phenomena, 83 (4). pp. 374-382. ISSN 0167-2789

Full text not available from this repository. (Request a copy)

Abstract

Hexagonal Resonant Triad patterns are shown to exist as stable solutions of a particular type of nonlinear field where no cubic field nonlinearity is present. The zero ‘dc’ Fourier mode is shown to stabilize these patterns produced by a pure quadratic field nonlinearity. Closed form solutions and stability results are obtained near the critical point, complimented by numerical studies far from the critical point. These results are obtained using a neural field based on the Helmholtzian operator. Constraints on structure and parameters for a general pure quadratic neural field which supports hexagonal patterns are obtained.

Item Type: Article
Additional Information:

The full-text cannot be supplied for this item. Please check availability with your local library or Interlibrary Requests Service.

Uncontrolled Discrete Keywords: Helmholtzian Equation, Quadratic Nonlinear Fields
Subjects: Q Science > QC Physics
Divisions: College of Business, Psychology and Sport > Worcester Business School
Related URLs:
Depositing User: Tanya Buchanan
Date Deposited: 20 Sep 2016 13:16
Last Modified: 17 Jun 2020 17:13
URI: https://worc-9.eprints-hosting.org/id/eprint/4903

Actions (login required)

View Item View Item
 
     
Worcester Research and Publications is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton. More information and software credits.