ZIB

Hits per page

hits 1 - 2 | 2 hits

Sorting

Electronic Resource

Analytic study of chaos of the tent map: Band structures, power spectra, and critical behaviors (1983)

Yoshida, T. ; Mori, H. ; Shigematsu, H.

Springer

Journal of statistical physics 31 (1983), S. 279-308

add to mindlist on the mindlist

Details

ISSN: 1572-9613

Keywords: Chaos ; mapping ; invariant measure ; ergodicity ; band structure of chaos ; power spectrum of chaos ; critical behavior ; scaling law ; Frobenius-Perron operator

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract Chaotic behaviors of the tent map (a piecewise-linear, continuous map with a unique maximum) are studied analytically throughout its chaotic region in terms of the invariant density and the power spectrum. As the height of the maximum is lowered, successive band-splitting transitions occur in the chaotic region and accumulate to the transition point into the nonchaotic region. The timecorrelation function of nonperiodic orbits and their power spectrum are calculated exactly at the band-splitting points and in the vicinity of these points. The method of eigenvalue problems of the Frobenius-Perron operator is used. 2 m−1 critical modes, wherem = 1,2, 3, ..., are found which exhibit the critical slowing-down near the 2 m−1-band to 2 m -band transition point. After the transition these modes become periodic modes which represent the cycling of nonperiodic orbits among 2 m bands together with the periodic modes generated by the preceding band splittings. Scaling laws near the transition point into the nonchaotic region are investigated and a new scaling law is found for the total intensity of the periodic part of the spectrum.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01011583

Permalink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

Electronic Resource

Morphometric analysis of testicular Leydig cells in normal adult mice (1982)

Mori, H. ; Shimizu, D. ; Fukunishi, R. ; [et al.]

New York, NY [u.a.] : Wiley-Blackwell

The @Anatomical Record 204 (1982), S. 333-339

add to mindlist on the mindlist

Details

ISSN: 0003-276X

Keywords: Life and Medical Sciences ; Cell & Developmental Biology

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Medicine

Notes: Stereological analysis was carried out on Leydig cells in perfusion-fixed testes of normal adult mice.In a decapsulated testis, the seminiferous tubules occupy 89.3% and the interstitial tissue makes up 10.7% of the volume of the testis parenchyma. The Leyding cells comprise 3.8% of testicular volume. There are 24.9 million Leydig cells per cm3 (or gm) of tissue. An average Leydig cell has a volume of 1,533 μm3 and a surface area of 1150 μm2.The smooth endoplasmic reticulum (SER) is the most prominent organelle in the Leydig cells, and has a membrane surface area of 2,428 cm2 per cm3 of fresh testis tissue, which is 8.5 times the surface area of the plasma membrane and constitutes 56.9% of the total membranes in Leydig cells. Mitochondria occupy 10.1% of the Leydig cell volume of 11.4% of cytoplasmic volume. The inner mitochondrial membrane (including tubular or vesicular cristae) provides a surface area of about 2855 μm2/cell and is 2.26 times that of the outer membrane. There are approximately 712 cm2 of inner membranes per cm3 tissue. Mouse Leydig cells have numerous lipid droplets, which average 147 per cell and occupy 5.1% of the cell volume.

Additional Material: 4 Ill.