Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Shigeru Ohkuro"'
Publikováno v:
Progress of Theoretical Physics. 101:1175-1179
Chaotic and chaos-like behavior in continued fractions is studied with respect to several types of maps, including a logistic map. Various numerical phenomena in the continued fractions are investigated, where the fractions correspond to fractal stru
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ddece855c258d574c44edec0c7173de
https://doi.org/10.1143/ptp.101.1175
https://doi.org/10.1143/ptp.101.1175
Autor:
Shuji Obata, Shigeru Ohkuro
Publikováno v:
Progress of Theoretical Physics. 101:831-846
We have been studying chaotic behavior and chaos-like behavior in continued fractions. In this paper, such chaos-like behavior is investigated in detail. This behavior originates in the complex numbers that determine the Cauchy distributions, where c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f22f9e8eae012e9681c34d4dbf417128
https://doi.org/10.1143/ptp.101.831
https://doi.org/10.1143/ptp.101.831
Autor:
Shigeru Ohkuro
Publikováno v:
International Journal of Theoretical Physics. 15:691-701
The time-dependent rotational transformation, which is a special case of the time-dependent linear transformation of coordinates in Newtonian mechanics, is considered rigorously from the point of view of infinitesimal transformation. By this approach
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df30ff06a26b79ab370dc6942e0da2d4
https://doi.org/10.1007/bf01807317
https://doi.org/10.1007/bf01807317
Autor:
Shigeru Ohkuro
Publikováno v:
International Journal of Theoretical Physics. 15:657-672
F. Klein's viewpoint of geometry is applied to the discussion of the time-dependent transformation (TDT) in Newtonian mechanics. Formally the vectorial character of transformation and the invariance of the form of Newtonian equations of motion under
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f21423acb1fc9ef8b3bbf466c18fdd7
https://doi.org/10.1007/bf01807314
https://doi.org/10.1007/bf01807314
Autor:
Shigeru Ohkuro
Publikováno v:
Journal of Mathematical Physics. 11:2005-2012
Maxwell's equations are derived under the assumption of 4‐dimensionality of Euclidean space from a somewhat different definition of time from that considered by Einstein, using differential forms and de Rham's theorem in the theory of harmonic inte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8fb748e42e0279fb1c1cc2796fb0e283
https://doi.org/10.1063/1.1665359
https://doi.org/10.1063/1.1665359