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Nilpotent singularities and chaos: Tritrophic food chains
Publication
- F. Drubi
- S. Ibáñez
- P. Pilarczyk
- CHAOS SOLITONS & FRACTALS - Year 2021
Local bifurcation theory is used to prove the existence of chaotic dynamics in two well-known models of tritrophic food chains. To the best of our knowledge, the simplest technique to guarantee the emergence of strange attractors in a given family of vector fields consists of finding a 3-dimensional nilpotent singularity of codimension 3 and verifying some generic algebraic conditions. We provide the essential background regarding...

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