Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Ilia Tavkhelidze"'
The Möbius phenomenon in Generalized Möbius-Listing surfaces and bodies, and Arnold's Cat phenomenon
Publikováno v:
Advanced Studies : Euro-Tbilisi Mathematical Journal
Möbius bands have been studied extensively, mainly in topology. Generalized Möbius-Listing surfaces and bodies providing a full geometrical generalization, is a quite new field, motivated originally by solutions of boundary value problems. Analogou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::660281a2426077b7dda74c640a75438c
https://hdl.handle.net/10067/1830810151162165141
https://hdl.handle.net/10067/1830810151162165141
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030563226
Differential and difference equations with applications : ICDDEA 2019, Lisbon, Portugal, July 1–5 / Pinelas, S. [edit.]; et al. [edit.]
Differential and difference equations with applications : ICDDEA 2019, Lisbon, Portugal, July 1–5 / Pinelas, S. [edit.]; et al. [edit.]
We will present 2 different analytical representations of only one general idea—this is the representation of complex movements using the superposition of certain elementary displacements! Despite of the analytical and structural similarity of thes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7ed789540b101925aed73df856c5570
https://doi.org/10.1007/978-3-030-56323-3_27
https://doi.org/10.1007/978-3-030-56323-3_27
Autor:
Johan Gielis, Ilia Tavkhelidze
Publikováno v:
4Open
4 open, Vol 3, p 7 (2020)
4 open, Vol 3, p 7 (2020)
The original motivation to study Generalized Möbius-Listing GML surfaces and bodies was the observation that the solution of boundary value problems greatly depends on the domains. Since around 2010 GML’s were merged with (continuous) Gielis Trans
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::520c89920295199ab4be16a564d43204
https://hdl.handle.net/10067/1744710151162165141
https://hdl.handle.net/10067/1744710151162165141
This book contains a collection of papers presented at the 2nd Tbilisi Salerno Workshop on Mathematical Modeling in March 2015. The focus is on applications of mathematics in physics, electromagnetics, biochemistry and botany, and covers such topics
Autor:
Ilia Tavkhelidze, Sandra Pinelas
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319756462
For more than almost 200 years the Mobius strip and its “mysterious” property attracts the attention of mathematicians. After a “complete cut” of this surface, one object appears, but already with a fourfold twist. The generalization of this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8bf50430f528b02148ce168c38e24cb2
https://doi.org/10.1007/978-3-319-75647-9_38
https://doi.org/10.1007/978-3-319-75647-9_38
Publikováno v:
Journal of mathematical sciences
In this paper, we consider the “bulky knots” and “bulky links,” which appear after cutting of a Generalized Mobius–Listing \( GML_2^n \) body (with the radial cross section a convex plane 2-symmetric figure with two vertices) along a differ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd0bda1b72abd46e1298ec50c29ee7fa
https://doi.org/10.1007/s10958-013-1474-7
https://doi.org/10.1007/s10958-013-1474-7
Autor:
Ilia Tavkhelidze
Publikováno v:
Journal of Mathematical Sciences. 191:853-870
The present paper is devoted to ribbon knots and ribbon links that appear after cutting generalized Mobius–Listing surfaces \( GML_m^n \) along sets of lines parallel to their basic line. In some particular cases, we count the indices of the result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c15e1eef8f9a164820ec2e66f2cd69a
https://doi.org/10.1007/s10958-013-1366-x
https://doi.org/10.1007/s10958-013-1366-x
Autor:
Paolo Ricci, Ilia Tavkhelidze
Publikováno v:
Modeling in Mathematics ISBN: 9789462392601
Natural forms affect all of us, not only for their beauty, but also for their diversity (see e.g. Fig. 1). It is still not known whether forms define the essence of the phenomena associated with them, or vice versa - that is, forms are natural conseq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37172472eb3270f58a1ee6be47d8021b
https://doi.org/10.2991/978-94-6239-261-8_11
https://doi.org/10.2991/978-94-6239-261-8_11
Publikováno v:
Modeling in Mathematics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a596c22b740e4fdc1eef8abd1e7853e0
https://doi.org/10.2991/978-94-6239-261-8
https://doi.org/10.2991/978-94-6239-261-8
Autor:
Ilia Tavkhelidze, Mamanti Rogava, Diego Caratelli, Maria Transirico, Paolo Emilio Ricci, Johan Gielis
Publikováno v:
Modeling in Mathematics ISBN: 9789462392601
Modeling in mathematics : proceedings of the second Tbilisi-Salerno workshop on modeling in mathematics / Gielis, Johan [edit.]; et al.
Modeling in mathematics : proceedings of the second Tbilisi-Salerno workshop on modeling in mathematics / Gielis, Johan [edit.]; et al.
Aim of this chapter is analytical representation of one wide class of geometric figures (lines, surfaces and bodies) and their complicated displacements. The accurate estimation of physical characteristics (such as volume, surface area, length, or ot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbbf8e89988ae430e63eed1fcb1f8fa6
https://doi.org/10.2991/978-94-6239-261-8_10
https://doi.org/10.2991/978-94-6239-261-8_10