scholarly journals UNIVERSAL CONSTANTS AND UNIVERSAL FUNCTIONS OF PERIQO-N-TUPLING SEQUENCES IN ONE-DIMENSIONAL UNIMODAL MAPPINGS

1986 ◽  
Vol 35 (1) ◽  
pp. 58
Author(s):  
WANG GUANG-RUI ◽  
CHEN SHI-GANG
Keyword(s):  
Universal Functions ◽  
One Dimensional ◽  
Unimodal Mappings

Some properties of one-dimensional unimodal mappings

2010 ◽  
Vol 81 (1) ◽  
pp. 16-21
Author(s):  
E. V. Nedostupov ◽  
D. A. Sarancha ◽  
E. N. Chigerev ◽  
Yu. S. Yurezanskaya
Keyword(s):  
One Dimensional ◽  
Unimodal Mappings

scholarly journals Universal Features of Tangent Bifurcation

1985 ◽  
Vol 38 (1) ◽  
pp. 1 ◽  
Author(s):  
R Delbourgo ◽  
BG Kenny
Keyword(s):  
Renormalization Group ◽  
Limit Cycles ◽  
Period Doubling ◽  
Accumulation Point ◽  
Universal Functions ◽  
One Dimensional ◽  
Chaotic Region ◽  
Renormalization Group Equations ◽  
Tangent Bifurcation ◽  
One Dimensional Maps

We exhibit certain universal characteristics of limit cycles pertaining to one-dimensional maps in the 'chaotic' region beyond the point of accumulation connected with period doubling. Universal, Feigenbaum-type numbers emerge for different sequences, such as triplication. More significantly we have established the existence of different classes of universal functions which satisfy the same renormalization group equations, with the same parameters, as the appropriate accumulation point is reached.

О КАЛИБРОВКЕ АВТОНОМНОЙ МОДЕЛИ ТУНДРОВОЙ БИОЛОГИЧЕСКОЙ ПОПУЛЯЦИИ ЛЕММИНГОВ

2020 ◽  
Vol 65 (6) ◽  
pp. 1184-1195
Author(s):  
Г.К. Каменев ◽  
◽  
Д.А. Саранча ◽  
В.О. Поляновский ◽  
◽  
...  
Keyword(s):  
Error Function ◽  
Model Identification ◽  
Taimyr Peninsula ◽  
One Dimensional ◽  
Identification Criterion ◽  
Identification Sets Method ◽  
Using Data ◽  
Parameter Values ◽  
Unimodal Mappings

The paper presents an autonomous model of the biological population of lemmings of a phenomenological type, designed in complex studies of tundra communities. In the model, the dynamics of a population is described through a difference equation relating the population in two neighboring years that depends on three parameters of the biological and ecological genesis. The combination of parameter values included in the equation under consideration determines a class of one-dimensional unimodal mappings of a dynamical system in which the bifurcation properties, asymptotics, and stability of trajectories were analytically and numerically studied. In this paper the main focus is made on model identification criterion. The method of identification sets is proposed to be used for calibration of the model. The identification sets method is based on the approximation and visualization of small-dimensional projections of a multidimensional graph of the error function given in the space of three environmental and two population parameters. This paper describes a case study of model identification using data on the tundra lemming population on the Taimyr Peninsula. It is shown that in this case two biological and ecological parameters allow for stable location distribution.

Investigation of the Class of One-Dimensional Unimodal Mappings Obtained in the Modeling of the Lemming Population

BIOPHYSICS ◽  
2018 ◽  
Vol 63 (4) ◽  
pp. 596-610 ◽  
Author(s):  
G. K. Kamenev ◽  
D. A. Sarancha ◽  
V. O. Polyanovsky
Keyword(s):  
One Dimensional ◽  
Unimodal Mappings

scholarly journals ESTIMATION OF THE CHANGE FROME HEIGHT OF THE VERTICAL AIR FLOW IN THE SURFACE LAYER OF THE ATMOSPHERE FOR A REGIME CLOSE TO THE ‘PURE CONVECTION’ REGIME

2020 ◽  
Vol 2 (32(59)) ◽  
pp. 13-17
Author(s):  
B. Kantsyrev
Keyword(s):  
Surface Layer ◽  
Water Vapor ◽  
Air Temperature ◽  
Mass Fraction ◽  
Continuity Equation ◽  
Asymptotic Form ◽  
Universal Functions ◽  
Physical Processes ◽  
Convection Regime ◽  
One Dimensional

The purpose of this work is to analyze and concretize the asymptotic form of writing the continuity equation [3] for modeling thermo-physical processes in the surface layer of the atmosphere. In this case, the solution of the system of spatially one-dimensional equations of conservation laws for vertical dependences of air temperature and mass fraction of water vapor can be obtained in the future by using the calculated empirical dependences for the coefficient of turbulent exchange, based on the Monin-Obukhov “universal functions” approach.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Electron-Mirror Microscopic Aspects of Ferroelectric Domains of BaTiO3 And Ca2Sr (C2H5CO2)6

1970 ◽  
Vol 28 ◽  
pp. 478-479
Author(s):  
Teruo Someya ◽  
Jinzo Kobayashi
Keyword(s):  
Surface Layer ◽  
Electric Fields ◽  
Quantitative Study ◽  
Recent Progress ◽  
Ferroelectric Domain ◽  
Resolving Power ◽  
Surface Pattern ◽  
Crystal Surfaces ◽  
One Dimensional ◽  
Ferroelectric Domains

Recent progress in the electron-mirror microscopy (EMM), e.g., an improvement of its resolving power together with an increase of the magnification makes it useful for investigating the ferroelectric domain physics. English has recently observed the domain texture in the surface layer of BaTiO3. The present authors ) have developed a theory by which one can evaluate small one-dimensional electric fields and/or topographic step heights in the crystal surfaces from their EMM pictures. This theory was applied to a quantitative study of the surface pattern of BaTiO3).

Structure and function of neural networks in the retina

1988 ◽  
Vol 46 ◽  
pp. 26-27
Author(s):  
Peter Sterling
Keyword(s):  
Ganglion Cells ◽  
Three Dimensional ◽  
Structure And Function ◽  
Synaptic Connections ◽  
Visual Axis ◽  
One Dimensional ◽  
Cat Retina ◽  
Ultrathin Sections ◽  
And Function ◽  
Insight Into

The synaptic connections in cat retina that link photoreceptors to ganglion cells have been analyzed quantitatively. Our approach has been to prepare serial, ultrathin sections and photograph en montage at low magnification (˜2000X) in the electron microscope. Six series, 100-300 sections long, have been prepared over the last decade. They derive from different cats but always from the same region of retina, about one degree from the center of the visual axis. The material has been analyzed by reconstructing adjacent neurons in each array and then identifying systematically the synaptic connections between arrays. Most reconstructions were done manually by tracing the outlines of processes in successive sections onto acetate sheets aligned on a cartoonist's jig. The tracings were then digitized, stacked by computer, and printed with the hidden lines removed. The results have provided rather than the usual one-dimensional account of pathways, a three-dimensional account of circuits. From this has emerged insight into the functional architecture.

Intergrowth of modulated structures in high Tc Bi-Sr-Ca-Cu-O superconductors

1990 ◽  
Vol 48 (4) ◽  
pp. 76-77
Author(s):  
A.Q. He ◽  
G.W. Qiao ◽  
J. Zhu ◽  
H.Q. Ye
Keyword(s):  
Twin Structure ◽  
Modulated Structure ◽  
High Tc ◽  
One Dimensional ◽  
Lattice Constants ◽  
Superconducting Phases ◽  
Modulated Structures ◽  
Layer Structures

Since the first discovery of high Tc Bi-Sr-Ca-Cu-O superconductor by Maeda et al, many EM works have been done on it. The results show that the superconducting phases have a type of ordered layer structures similar to that in Y-Ba-Cu-O system formulated in Bi2Sr2Can−1CunO2n+4 (n=1,2,3) (simply called 22(n-1) phase) with lattice constants of a=0.358, b=0.382nm but the length of c being different according to the different value of n in the formulate. Unlike the twin structure observed in the Y-Ba-Cu-O system, there is an incommensurate modulated structure in the superconducting phases of Bi system superconductors. Modulated wavelengths of both 1.3 and 2.7 nm have been observed in the 2212 phase. This communication mainly presents the intergrowth of these two kinds of one-dimensional modulated structures in 2212 phase.

Electronic structure studies of conducting polymers by electron energy-loss spectroscopy

1996 ◽  
Vol 54 ◽  
pp. 160-161
Author(s):  
J. Fink
Keyword(s):  
Electronic Structure ◽  
Conducting Polymers ◽  
Conjugated Polymers ◽  
Electron Acceptors ◽  
Electron Donors ◽  
Light Emitting ◽  
One Dimensional ◽  
New Class ◽  
Electrical Conductivities ◽  
Electron Energy Loss

Conducting polymers comprises a new class of materials achieving electrical conductivities which rival those of the best metals. The parent compounds (conjugated polymers) are quasi-one-dimensional semiconductors. These polymers can be doped by electron acceptors or electron donors. The prototype of these materials is polyacetylene (PA). There are various other conjugated polymers such as polyparaphenylene, polyphenylenevinylene, polypoyrrole or polythiophene. The doped systems, i.e. the conducting polymers, have intersting potential technological applications such as replacement of conventional metals in electronic shielding and antistatic equipment, rechargable batteries, and flexible light emitting diodes.Although these systems have been investigated almost 20 years, the electronic structure of the doped metallic systems is not clear and even the reason for the gap in undoped semiconducting systems is under discussion.

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