Contents

Preface

Section I. Advanced Materials, Nanostructured and Fractal Systems

Chapter 1

Calculations Methods for an Inner Electromagnetic Field of Small Disperse Particles with Composite Geometry

Abstract

Introduction

Methods

Conclusion

References

Chapter 2

The Flow of Atoms from Slot-Hole Systems with a Random Slope Angle of the System Walls

Abstract

Introduction

Results of Calculations

Conclusion

References

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

Abstract

Introduction

Prerequisites for the Problem under Discussion

Briefly About the Theory of Fractional Measure and Nonintegral Dimension

To the “Fractal” Conception in Radiolocation

Textural and Fractal Measures in Radio Physics and Radiolocation

Textural Measures and Textural Signatures

Textural Signatures of Real Optical and Radar Images on Millimeter Waves

Textural Measures and Textural Signs on a Set of Space Frequencies

Methods of Determination of Fractal Dimension D and Fractal Signatures D(t, f, )

Fractal Processing of Signals and Images against the Background of High-Intensity Interferences and Noises

Designed Breakthrough Technologies and Fractal Radio Systems

Principles of Fractal-Scaling or Scale-Invariant Radiolocation

Fractal-Scaling or Topological Detectors of Signals

Radio Systems and Fractal MIMO Radars

New Signs and Methods of Detection of Low-Contrast Objects against the Background of High-Intensity Interferences

The Structure of the Topological Detectors of Low-Contrast Objects

Strange Attractors in the Phase Space of Reflected Radar Signals in Millimeter Wave Range

Conception of Fractal Radio Elements and Fractal Radio Systems

Methods of Fractal Signals Building and Fractal Methods of Information Transfer

On the Question of Promising Directions of Fractal Researches

Officially Admitted Results of the Fractal Researches

Conclusion

References

Chapter 4

Advances in Radiation Transfer Theory and the Dynamic Earth’s Climate System

Abstract

Introduction

Problem Formulation

Space Research and Technologies: Theory Is Typically Ahead of Measurements and Used to Explain the Observed Phenomena

Line-Systems Approach and Remote Sensing

The Global Spherical Model of Radiation Transfer in CSE

Solution of the First Boundary Value Problem (FBP)

Conclusion

Acknowledgment

References

Chapter 5

The Interaction of Nanoobjects with Some Nonlinear Systems and a Weak Electromagnetic Field

Abstract

Introduction

Methods

Interaction of Nanoobjects with the Biosphere

Interaction of Nanoobjects with Materials

The Interact of the Nanoobjects with Some Supramolecular Biosystems

The Modeling of the Interaction of the Weak Electromagnetic Field with the Bionanocomplexes

The Importance of the Symmetry Theory in the Modeling of the Functioning of the Biologically Active Nanoobjects

Method of the Valence Bond and the Crystal Field Theory

Elements of the Theory of Symmetry of Molecules

Ligands Field Theory (TFL)

The Estimation of the Moment of Transition

Quantum Model of the Transition Induced by a Weak Electromagnetic Field

Conclusion

References

Section II. Complex Biological Processes, Systems and Objects

Chapter 6

Sensitivity Analysis of a Mathematical Model of the β1-Adrenergic Signaling System in Mouse Ventricular Myocytes

Abstract

Introduction

Mathematical Model and Simulation Methods

Results

Conclusion

References

Chapter 7

Simulation of Air-Methane Mixture Ignition and Combustion in the Micro-Burner with Preheated Dividing Wall

Abstract

Introduction

Formulation of the Problem and Method

Physical Formulation

U-Shaped Burner

Swiss-Roll Burner

Mathematical Formulation

Initial and Boundary Conditions

Numerical Method

Results and Discussions

Ignition of Air-Methane Mixture and Combustion Establishment

Stable State of Combustion

Conclusion

References

Chapter 8

PH Regulation of the Hydrogen-Generating Microalgae Photosynthetic Chain: Kinetic and Multiparticle Brownian Models

Abstract

Introduction

Model of Electron Flow Switching in PSII in Stress Conditions

Multiparticle Model of Electron Flow Switch in the Acceptor Part of PSI from the Path of CO2 Fixation to the Path of Hydrogen Evolution

Conclusion

References

Section III. Forecasting, Control and Management Problems

Chapter 9

Synthesis, Stability Analysis and Computer Research of a Nondeterministic Population Model with Competition and Mutualism

Abstract

Introduction

Qualitative Analysis of Deterministic Model

Numerical Analysis of the Deterministic Model

Synthesis and Stability Analysis on the Basis of the Principle of Reduction

Synthesis and Stability Analysis on the Basis of the Method for Construction of Self-Consistent Stochastic Models

Conclusion

References

Chapter 10

The Process of Engineering, Technological Tasks Performance Modeling and Restructuring

Abstract

Introduction

The Methodology Automation of Intellectual Labor (MAIL)

Initial Model Representation (IMR)

The Initial Model Analytical Processing

Conclusion

References

Chapter 11

Markov Models for Free-Rider Problem Analyses

Abstract

Introduction: Economic Foundation of Problem

How Does Free-Rider Prejudice the Interests of Social Surroundings?

Quantitative Aspect: Markov Model of the Process

The Problem of Counterfeiter

The Problem of Declared and Illegal Salaries

Conclusion

References

Chapter 12

The Role of Information in the Functioning of Self-Organizing Systems

Abstract

Introduction

Methods

Complex Non-Linear Systems and Modeling of Contemporary World Picture

Management and Information

Information Processes in Social Environments

Conclusion

References

Chapter 13

Modelling of Life Cycle Processes of Automated Systems

Abstract

Introduction

The Description of Processes of Life Cycle of the Automated Systems

Modelling of Process of the Functioning of the Automated Systems

Modelling of Process of the Creation of the Automated Systems

Modelling of Process of the Development of the Automated Systems

Conclusion

References

Chapter 14

Financial Modeling with Pair-Copula Constructions

Abstract

Introduction

Basics of Copula Theory

Definition of Pair-Copula

Sklar’s Theorem

Measures of Bivariate Dependence

Measures of Tail-Dependence

Regular Vine Copulas

Decomposition of a Multivariate Distribution Function Using Pair-Copula Constructions

Sequential Algorithm for Pair-Copula Estimation

Inference and Model Selection of Vine Copulas

Numerical Experiment: Choosing the Right Vine Structure

Conclusion

References

Chapter 15

Cognitive Technologies for the Creation of Automated Systems

Abstract

Introduction

Method for Phase of Researching and Analyze

Method for Phase of Conceptual Modeling

Conclusion

References

Chapter 16

A Performance and Efficiency Prediction Method for Multiprocessor Environment

Abstract

Introduction

Speedup of Computations and Efficiency of Multiprocessor Environment

Application of the Performance and Efficiency Prediction Method

Performance and Efficiency Predictions for Homogeneous Environments

Predictions for the Dragonfly Topology

Predictions for the Hypercube Topology

Performance and Efficiency Predictions for Heterogeneous and Hybrid Environments

Example of Predictive Calculations of Multiprocessor Environment Parameters

Conclusion

References

Chapter 17

Structural Decomposition of Hybrid Processor Elements and Computation Balancing

Abstract

Introduction

Runtime and Speedup Predictions

Method for Structural Decomposition of a Hybrid Processor Element

Computation Balancing

Decomposition and Balancing Examples

Conclusion

Appendix A

Appendix B

References

About the Editors

Index

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