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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 1, Pages 3–14
DOI: https://doi.org/10.4213/tmf10193 (Mi tmf10193) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Bernoulli shifts in predator–prey mappings

S. Anastassiou

Department of Mathematics, University of West Macedonia, Kastoria, Greece
Full-text PDF (418 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf10193
Abstract: 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.
Received: 05.11.2021
Revised: 05.11.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 212, Issue 1, Pages 893–902
DOI: https://doi.org/10.1134/S0040577922070017
Bibliographic databases:
Document Type: Article
MSC: 37C05, 37D05
Language: Russian
Citation: S. Anastassiou, “Bernoulli shifts in predator–prey mappings”, TMF, 212:1 (2022), 3–14; Theoret. and Math. Phys., 212:1 (2022), 893–902
Citation in format AMSBIB
\Bibitem{Ana22}
\by S.~Anastassiou
\paper Bernoulli shifts in predator--prey mappings
\jour TMF
\yr 2022
\vol 212
\issue 1
\pages 3--14
\mathnet{http://mi.mathnet.ru/tmf10193}
\crossref{https://doi.org/10.4213/tmf10193}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461540}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...212..893A}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 212
\issue 1
\pages 893--902
\crossref{https://doi.org/10.1134/S0040577922070017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85185429251}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :33
    References:39
    First page:9
     
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