Geodesic
Transitive maps in bitopological dynamical systems
Filomat, Tome 35 (2021) no. 6, p. 2011

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DOI

This paper introduces fundamental ideas of bitopological dynamical systems. Here, notions of bitopological transitivity, point transitivity, pairwise iterated compactness, weakly bitopological transitiv-ity, etc. are introduced. Later, it is shown that under pairwise homeomorphism, weakly point transitivity implies weakly bitopological transitivity. Moreover, under pairwise homeomorphism; pairwise compact-ness and pairwise iterated compactness are found to be equivalent. Later, we apply our results in the development process of a human embryo from the zygote until birth. During the process of biological application, we disprove conjecture 1 of Nada and Zohny [S. I. Nada, H. Zohny, An application of relative topology in biology. Chaos, Solitons and Fractals, 42 (2009) 202–204].
DOI : 10.2298/FIL2106011A
Classification : 54E55, 37B20, 37B99, 92B05
Keywords: Bitopology, dynamical system, transitive map, orbit, embryo 
Santanu Acharjee; Kabindra Goswami; Hemanta Kumar Sarmah. Transitive maps in bitopological dynamical systems. Filomat, Tome 35 (2021) no. 6, p. 2011 . doi: 10.2298/FIL2106011A
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     title = {Transitive maps in bitopological dynamical systems},
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     pages = {2011 },
     year = {2021},
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     doi = {10.2298/FIL2106011A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2106011A/}
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