Nonlinearity. Problems, solutions and applications. Vol.2

374 Pages·2017·5.961 MB·English

by  Latyshev, Anatoly V., Nadykto, Alexey B., Uvarova, Ludmila A et al. (eds.)

THEORETICAL AND APPLIED MATHEMATICS

N
ONLINEARITY

P , S
ROBLEMS OLUTIONS
A
AND PPLICATIONS

V 2
OLUME

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T A M
HEORETICAL AND PPLIED ATHEMATICS

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THEORETICAL AND APPLIED MATHEMATICS

N
ONLINEARITY

P , S
ROBLEMS OLUTIONS
A
AND PPLICATIONS

V 2
OLUME

LUDMILA A. UVAROVA
ALEXEY B. NADYKTO
AND
ANATOLY V. LATYSHEV
EDITORS
Copyright © 2017 by Nova Science Publishers, Inc.

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ISBN: (cid:28)(cid:26)(cid:27)(cid:16)(cid:20)(cid:16)(cid:24)(cid:22)(cid:25)(cid:20)(cid:21)(cid:16)(cid:20)(cid:27)(cid:23)(cid:16)(cid:20)(cid:3)(cid:11)(cid:72)(cid:37)(cid:82)(cid:82)(cid:78)(cid:12)

Published by Nova Science Publishers, Inc. † New York
CONTENTS
Preface ix
Section I. Advanced Materials, Nanostructured and Fractal Systems 1
Chapter 1 Calculations Methods for an Inner Electromagnetic Field
of Small Disperse Particles with Composite Geometry 3
Kirill A. Budnyi
Chapter 2 The Flow of Atoms from Slot-Hole Systems
with a Random Slope Angle of the System Walls 23
L. V. Pletnev and G. M. Suslov
Chapter 3 Postulate “The Topology Maximum at the Energy Minimum”
for Textural and Fractal-and-Scaling Processing of
Multidimensional Super Weak Signals against
a Background of Noises 35
Alexander A. Potapov
Chapter 4 Advances in Radiation Transfer Theory and the Dynamic
Earth’s Climate System 95
T. A. Sushkevich, S. A. Strelkov and S. V. Maksakova
Chapter 5 The Interaction of Nanoobjects with Some Nonlinear
Systems and a Weak Electromagnetic Field 121
L. Yu. Vasil’eva, L. A. Uvarova and E. Yu. Romanova
Section II. Complex Biological Processes, Systems and Objects 151
Chapter 6 Sensitivity Analysis of a Mathematical Model of the
β1-Adrenergic Signaling System in Mouse
Ventricular Myocytes 153
Mark Grinshpon and Vladimir E. Bondarenko
vi Contents
Chapter 7 Simulation of Air-Methane Mixture Ignition and Combustion
in the Micro-Burner with Preheated Dividing Wall 165
Alexey Yu. Krainov, Leonid L. Minkov
and Ksenia M. Moiseeva
Chapter 8 PH Regulation of the Hydrogen-Generating Microalgae
Photosynthetic Chain: Kinetic and Multiparticle
Brownian Models 181
G. Yu. Riznichenko, T. Yu. Plyusnina, A. N. Diakonova,
I. B. Kovalenko, S. S. Khruschev and A. B. Rubin
Section III. Forecasting, Control and Management Problems 203
Chapter 9 Synthesis, Stability Analysis and Computer Research
of a Nondeterministic Population Model with Competition
and Mutualism 205
А. V. Demidova, О. V. Druzhinina and О. N. Masina
Chapter 10 The Process of Engineering, Technological Tasks
Performance Modeling and Restructuring 223
Olga V. Novoselova, Galina D. Volkova
and Yury M. Solomentsev
Chapter 11 Markov Models for Free-Rider Problem Analyses 239
Olga E. Pyrkina and Andrey Yu.Udanov
Chapter 12 The Role of Information in the Functioning of
Self-Organizing Systems 251
E. Yu. Romanova
Chapter 13 Modelling of Life Cycle Processes of Automated Systems 269
Tatiana B. Tyurbeeva, Galina D. Volkova
and Oleg G. Grigoriev
Chapter 14 Financial Modeling with Pair-Copula Constructions 281
Eugene Shchetinin
Chapter 15 Cognitive Technologies for the Creation of Automated Systems 299
Galina D. Volkova and Yuri M. Solomentsev
Chapter 16 A Performance and Efficiency Prediction Method for
Multiprocessor Environment 315
Sergey A.Stepanenko
Contents vii
Chapter 17 Structural Decomposition of Hybrid Processor Elements
and Computation Balancing 335
Sergey A. Stepanenko
About the Editors 355
Index 359

PREFACE

This book has two volumes and consists of forty-four chapters, which are divided
into five sections: (i) Mathematical treatment of non-linear problems, including the
differential equations, numerical methods, algorithms and solutions; (ii) theoretical and
computational studies dedicated to the physics and chemistry of advanced materials,
nanostructured and fractal systems; (iii) articles dedicated to non-linear processes in
complex biological processes, systems and objects; (iv) theoretical and modeling studies
of kinetics, dynamics and thermochemistry of micro-, meso- and macro-scale systems;
and (v) multidisciplinary research focused on forecasting, control and management
problems.