| Publication type: | Conference paper |
| Type of review: | Peer review (publication) |
| 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) |
| Page(s): | 541 |
| Pages to: | 544 |
| Conference details: | International Symposium on Nonlinear Theory and its Applications (NOLTA2011), Kobe, Japan, 4-7 September 2011 |
| Issue Date: | 2011 |
| Publisher / Ed. Institution: | IECE |
| Language: | English |
| Subject (DDC): | 003: Systems |
| 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. |
| URI: | http://www.ieice.org/proceedings/NOLTA2011/nolta11fullvol.pdf https://digitalcollection.zhaw.ch/handle/11475/4408 |
| Fulltext version: | Published version |
| License (according to publishing contract): | Licence according to publishing contract |
| Departement: | Life Sciences and Facility Management |
| Organisational Unit: | Institute of Computational Life Sciences (ICLS) |
| Appears in collections: | Publikationen Life Sciences und Facility Management |
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Niederberger, T., Merlo, O., & Ott, T. (2011). Predator-prey dynamics in Hopfield-type networks [Conference paper]. Proceedings of the 2011 International Symposium on Nonlinear Theory and Its Applications (NOLTA2011), 541–544. http://www.ieice.org/proceedings/NOLTA2011/nolta11fullvol.pdf
Niederberger, T., Merlo, O. and Ott, T. (2011) ‘Predator-prey dynamics in Hopfield-type networks’, in Proceedings of the 2011 International Symposium on Nonlinear Theory and its Applications (NOLTA2011). IECE, pp. 541–544. Available at: http://www.ieice.org/proceedings/NOLTA2011/nolta11fullvol.pdf.
T. Niederberger, O. Merlo, and T. Ott, “Predator-prey dynamics in Hopfield-type networks,” in Proceedings of the 2011 International Symposium on Nonlinear Theory and its Applications (NOLTA2011), 2011, pp. 541–544. [Online]. Available: http://www.ieice.org/proceedings/NOLTA2011/nolta11fullvol.pdf
NIEDERBERGER, Thomas, Olivier MERLO und Thomas OTT, 2011. Predator-prey dynamics in Hopfield-type networks. In: Proceedings of the 2011 International Symposium on Nonlinear Theory and its Applications (NOLTA2011) [online]. Conference paper. IECE. 2011. S. 541–544. Verfügbar unter: http://www.ieice.org/proceedings/NOLTA2011/nolta11fullvol.pdf
Niederberger, Thomas, Olivier Merlo, and Thomas Ott. 2011. “Predator-Prey Dynamics in Hopfield-Type Networks.” Conference paper. In Proceedings of the 2011 International Symposium on Nonlinear Theory and Its Applications (NOLTA2011), 541–44. IECE. http://www.ieice.org/proceedings/NOLTA2011/nolta11fullvol.pdf.
Niederberger, Thomas, et al. “Predator-Prey Dynamics in Hopfield-Type Networks.” Proceedings of the 2011 International Symposium on Nonlinear Theory and Its Applications (NOLTA2011), IECE, 2011, pp. 541–44, http://www.ieice.org/proceedings/NOLTA2011/nolta11fullvol.pdf.
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