Summary

2011 International Symposium on Nonlinear Theory and Its Applications

2011

Session Number:B4L-C

Session:

Number:B4L-C1

Predator-Prey Dynamics in Hopfield-Type Networks

Thomas Ott,  Thomas Niederberger,  Olivier Merlo,  

pp.541-544

Publication Date:2011/9/4

Online ISSN:2188-5079

DOI:10.34385/proc.45.B4L-C1

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Summary:
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.