Nonlinearity : Problems, Solutions and Applications, Volume 2

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.

Table of Contents

Section I. Advanced Materials, Nanostructured and Fractal Systems
Chapter 1 Calculations Methods for an Inner Electromagnetic Field of Small Disperse Particles with Composite Geometry
Chapter 2 The Flow of Atoms from Slot-Hole Systems with a Random Slope Angle of the System Walls
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
Chapter 4 Advances in Radiation Transfer Theory and the Dynamic Earth’s Climate System
Chapter 5 The Interaction of Nanoobjects with Some Nonlinear Systems and a Weak Electromagnetic Field

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
Chapter 7 Simulation of Air-Methane Mixture Ignition and Combustion in the Micro-Burner with Preheated Dividing Wall
Chapter 8 PH Regulation of the Hydrogen-Generating Microalgae Photosynthetic Chain: Kinetic and Multiparticle Brownian Models

Section III. Forecasting, Control and Management Problems
Chapter 9 Synthesis, Stability Analysis and Computer Research of a Nondeterministic Population Model with Competition and Mutualism
Chapter 10 The Process of Engineering, Technological Tasks Performance Modeling and Restructuring
Chapter 11 Markov Models for Free-Rider Problem Analyses
Chapter 12 The Role of Information in the Functioning of Self-Organizing Systems
Chapter 13 Modelling of Life Cycle Processes of Automated Systems
Chapter 14 Financial Modeling with Pair-Copula Constructions
Chapter 15 Cognitive Technologies for the Creation of Automated Systems
Chapter 16 A Performance and Efficiency Prediction Method for Multiprocessor Environment
Chapter 17 Structural Decomposition of Hybrid Processor Elements and Computation Balancing