Title: Predator-prey dynamics in Hopfield-type networks
Authors : Niederberger, Thomas
Merlo, Olivier
Ott, Thomas
Proceedings: Proceedings of the 2011 International Symposium on Nonlinear Theory and its Applications (NOLTA2011)
Pages : 541
Pages to: 544
Conference details: International Symposium on Nonlinear Theory and its Applications (NOLTA2011), Kobe, Japan, September 4-7, 2011
Publisher / Ed. Institution : IECE
Issue Date: 2011
Language : Englisch / English
Subject (DDC) : 003: Systeme
Abstract: Predator-prey models have been attracting the interest of researchers in the field of non-linear dynamics for many decades. In this contribution, we present a novel predator-prey model based on two coupled populations of Hopfield-type neurons. The model exhibits a rich structure of fixed points and periodic and quasi-periodic solutions. We explore it by means of numerical simulations and support our findings with analytical arguments. Furthermore, we show that the equilibrium equations of our model can be understood as meanfield equations of a magnetic spin model. This finding provides an interesting interpretation of predator-prey dynamics in terms of different magnetic phases.
Departement: Life Sciences und Facility Management
Organisational Unit: Institut für Angewandte Simulation (IAS)
Publication type: Konferenz: Paper / Conference Paper
Type of review: Peer review (Publikation)
URI: http://www.ieice.org/proceedings/NOLTA2011/nolta11fullvol.pdf
https://digitalcollection.zhaw.ch/handle/11475/4408
License (according to publishing contract) : Lizenz gemäss Verlagsvertrag / Licence according to publishing contract
Appears in Collections:Publikationen Life Sciences und Facility Management

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