Worcester Research and Publications

SEARCH EPRINTS:

USER PANEL:

Registered Users - Log in using your University of Worcester ID and Password to submit items to the repository.

ABOUT THE COLLECTION:

WRaP is a collection of research papers and university publications. It presents the academic and creative work of the university. You are welcome to look for and obtain items of interest and make contact with the authors and creators.

CONTACT DETAILS:

All correspondence about WRaP should be sent to the Repository Manager.

The Helmholtzian Equation: Stabilizing Mechanisms for Quadratic Nonlinear Fields

Lists

Tools

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)

Official URL: http://www.sciencedirect.com/science/article/pii/0...

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:	http://www.sciencedirect.com
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

© University of Worcester Henwick Grove, WR2 6AJ Tel: 01905 855000 | Materials in WRaP are protected by copyright and other intellectual property rights. By using WRaP you agree to abide by UK copyright laws.

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.