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://eprints.worc.ac.uk/id/eprint/4903 |
Actions (login required)
View Item |