Nonlinearity: Problems, Solutions, Applications

Contents......Page 7
Preface......Page 11
Section I. Advanced Materials, Nanostructured and Fractal Systems......Page 13
Abstract......Page 15
Methods......Page 16
References......Page 32
Abstract......Page 35
Results of Calculations......Page 36
References......Page 45
Abstract......Page 47
Prerequisites for the Problem under Discussion......Page 48
Briefly About the Theory of Fractional Measure and Nonintegral Dimension......Page 51
To the “Fractal” Conception in Radiolocation......Page 56
Textural Measures and Textural Signatures......Page 58
Textural Signatures of Real Optical and Radar Images on Millimeter Waves......Page 65
Textural Measures and Textural Signs on a Set of Space Frequencies......Page 67
Methods of Determination of Fractal Dimension D and Fractal Signatures D(t, f, )......Page 71
Fractal Processing of Signals and Images against the Background of High-Intensity Interferences and Noises......Page 73
Designed Breakthrough Technologies and Fractal Radio Systems......Page 74
Principles of Fractal-Scaling or Scale-Invariant Radiolocation......Page 77
Fractal-Scaling or Topological Detectors of Signals......Page 79
Radio Systems and Fractal MIMO Radars......Page 81
New Signs and Methods of Detection of Low-Contrast Objects against the Background of High-Intensity Interferences......Page 82
The Structure of the Topological Detectors of Low-Contrast Objects......Page 84
Strange Attractors in the Phase Space of Reflected Radar Signals in Millimeter Wave Range......Page 88
Conception of Fractal Radio Elements and Fractal Radio Systems......Page 90
Methods of Fractal Signals Building and Fractal Methods of Information Transfer......Page 95
On the Question of Promising Directions of Fractal Researches......Page 97
Officially Admitted Results of the Fractal Researches......Page 98
Conclusion......Page 100
References......Page 101
Abstract......Page 107
Introduction......Page 108
Problem Formulation......Page 110
Space Research and Technologies: Theory Is Typically Ahead of Measurements and Used to Explain the Observed Phenomena......Page 111
Line-Systems Approach and Remote Sensing......Page 112
The Global Spherical Model of Radiation Transfer in CSE......Page 117
Solution of the First Boundary Value Problem (FBP)......Page 120
Acknowledgment......Page 123
References......Page 124
Abstract......Page 133
Interaction of Nanoobjects with the Biosphere......Page 134
Interaction of Nanoobjects with Materials......Page 136
The Interact of the Nanoobjects with Some Supramolecular Biosystems......Page 141
The Modeling of the Interaction of the Weak Electromagnetic Field with the Bionanocomplexes......Page 144
The Importance of the Symmetry Theory in the Modeling of the Functioning of the Biologically Active Nanoobjects......Page 146
Method of the Valence Bond and the Crystal Field Theory......Page 147
Elements of the Theory of Symmetry of Molecules......Page 148
Ligands Field Theory (TFL)......Page 152
The Estimation of the Moment of Transition......Page 154
Quantum Model of the Transition Induced by a Weak Electromagnetic Field......Page 156
Conclusion......Page 159
References......Page 160
Section II. Complex Biological Processes, Systems and Objects......Page 163
Abstract......Page 165
Introduction......Page 166
Mathematical Model and Simulation Methods......Page 167
Results......Page 169
References......Page 173
Introduction......Page 177
Swiss-Roll Burner......Page 179
Mathematical Formulation......Page 180
Initial and Boundary Conditions......Page 182
Ignition of Air-Methane Mixture and Combustion Establishment......Page 183
Stable State of Combustion......Page 186
Conclusion......Page 190
References......Page 191
Abstract......Page 193
Introduction......Page 194
Model of Electron Flow Switching in PSII in Stress Conditions......Page 197
Multiparticle Model of Electron Flow Switch in the Acceptor Part of PSI from the Path of CO2 Fixation to the Path of Hydrogen Evolution......Page 205
Conclusion......Page 210
References......Page 211
Section III. Forecasting, Control and Management Problems......Page 215
Abstract......Page 217
Introduction......Page 218
Qualitative Analysis of Deterministic Model......Page 219
Numerical Analysis of the Deterministic Model......Page 220
Synthesis and Stability Analysis on the Basis of the Principle of Reduction......Page 223
Synthesis and Stability Analysis on the Basis of the Method for Construction of Self-Consistent Stochastic Models......Page 226
References......Page 231
Abstract......Page 235
The Methodology Automation of Intellectual Labor (MAIL)......Page 236
Initial Model Representation (IMR)......Page 237
The Initial Model Analytical Processing......Page 242
Conclusion......Page 247
References......Page 248
Abstract......Page 251
How Does Free-Rider Prejudice the Interests of Social Surroundings?......Page 252
Quantitative Aspect: Markov Model of the Process......Page 253
The Problem of Counterfeiter......Page 255
The Problem of Declared and Illegal Salaries......Page 257
References......Page 260
Abstract......Page 263
Introduction......Page 264
Methods......Page 268
Complex Non-Linear Systems and Modeling of Contemporary World Picture......Page 270
Management and Information......Page 273
Information Processes in Social Environments......Page 275
References......Page 277
Abstract......Page 281
The Description of Processes of Life Cycle of the Automated Systems......Page 282
Modelling of Process of the Functioning of the Automated Systems......Page 285
Modelling of Process of the Creation of the Automated Systems......Page 286
Modelling of Process of the Development of the Automated Systems......Page 287
Conclusion......Page 289
References......Page 290
Introduction......Page 293
Basics of Copula Theory......Page 294
Sklar’s Theorem......Page 295
Measures of Bivariate Dependence......Page 296
Measures of Tail-Dependence......Page 297
Regular Vine Copulas......Page 298
Decomposition of a Multivariate Distribution Function Using Pair-Copula Constructions......Page 301
Sequential Algorithm for Pair-Copula Estimation......Page 303
Inference and Model Selection of Vine Copulas......Page 304
Numerical Experiment: Choosing the Right Vine Structure......Page 306
Conclusion......Page 308
References......Page 309
Abstract......Page 311
Introduction......Page 312
Method for Phase of Researching and Analyze......Page 314
Method for Phase of Conceptual Modeling......Page 315
References......Page 324
Abstract......Page 327
Introduction......Page 328
Speedup of Computations and Efficiency of Multiprocessor Environment......Page 330
Application of the Performance and Efficiency Prediction Method......Page 334
Predictions for the Dragonfly Topology......Page 335
Predictions for the Hypercube Topology......Page 338
Performance and Efficiency Predictions for Heterogeneous and Hybrid Environments......Page 340
Example of Predictive Calculations of Multiprocessor Environment Parameters......Page 341
References......Page 344
Abstract......Page 347
Introduction......Page 348
Runtime and Speedup Predictions......Page 349
Method for Structural Decomposition of a Hybrid Processor Element......Page 353
Computation Balancing......Page 357
Decomposition and Balancing Examples......Page 359
Appendix A......Page 362
Appendix B......Page 363
References......Page 364
About the Editors......Page 367
Index......Page 371
Blank Page......Page 2