Geodesic
Bernoulli shifts in predator--prey mappings
Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 1, pp. 3-14

Voir la notice de l'article provenant de la source Math-Net.Ru

Results providing bounds of the nonwandering set of a mapping, hyperbolicity conditions, and the method of anti-integrability shed light on the global behavior of a discrete system. Following recent works, we use this approach to investigate the behavior of predator–prey systems in dimensions $2$ and $3$. Our goal is not only to present results regarding the existence of Bernoulli shifts and hyperbolicity in the phase space but also to emphasize the applicability of this approach in a variety of interesting systems.
Keywords: discrete systems, hyperbolicity, Bernoulli shifts, anti-integrability. 
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     author = {S. Anastassiou},
     title = {Bernoulli shifts in predator--prey mappings},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--14},
     publisher = {mathdoc},
     volume = {212},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_212_1_a0/}
}
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S. Anastassiou. Bernoulli shifts in predator--prey mappings. Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 1, pp. 3-14. http://geodesic.mathdoc.fr/item/TMF_2022_212_1_a0/