|Title:||Predator-prey dynamics in Hopfield-type networks|
|Authors :||Niederberger, Thomas|
|Proceedings:||Proceedings of the 2011 International Symposium on Nonlinear Theory and its Applications (NOLTA2011)|
|Conference details:||International Symposium on Nonlinear Theory and its Applications (NOLTA2011), Kobe, Japan, September 4-7, 2011|
|Publisher / Ed. Institution :||IECE|
|License (according to publishing contract) :||Licence according to publishing contract|
|Type of review:||Peer review (Publication)|
|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.|
|Departement:||Life Sciences und Facility Management|
|Organisational Unit:||Institute of Applied Simulation (IAS)|
|Publication type:||Conference Paper|
|Appears in Collections:||Publikationen Life Sciences und Facility Management|
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