12th Chaotic Modeling and Simulation International Conference (Springer Proceedings in Complexity)

Contents
Contributors
Active Nanoobjects, Neutrino and Higgs Boson in a Fractal Models of the Universe
	1 Introduction
	2 Description of the Model Nanoobject
	3 Higgs Field
	4 Relationships of Neutrino with Higgs Boson and Higgs Field
	5 Super-Nonradiative States of Fractal Objects
	6 Conclusions
	References
Coupled Fractal Structures with Elements of Cylindrical Type
	1 Introduction
	2 Fractal Structure with Two Elements of Cylindrical Type
	3 Fractal Structure with Three Elements of Cylindrical Type
	4 Conclusions
	References
Brain Dynamics Explained by Means of Spectral-Structural Neuronal Networks
	1 Introduction
	2 The Mathematical Model
	3 Brain Geodesics
	4 Spectral Functionality Through Schrödinger Type Brain Geodesics
	5 Structural Functionality Through Brain Geodesics of Hydrodynamic Type
	6 Communication Language Generation
	7 Implications of the Toda Network Model
	8 Hypothesis in Brain Functioning
	9 Concluding Remarks
	References
Effect of Long-Range Spreading on Two-Species Reaction-Diffusion System
	1 Introduction
	2 The Field Theory Approach
	3 Perturbation Theory
	4 Renormalization
	5 Summary
	References
Special Sensitive System via Furstenberg Family and Its Applications
	1 Introduction y Some Preliminaries
	2 SDIC and Its Relation with Furstenberg Families
		2.1 SDIC Global and Other Points
		2.2 SDIC Local
		2.3 Furstenberg Family
		2.4 Simulations and Some Results
	3 Discussion
	References
Mosaic Patterns in Reaction-Diffusion Systems
	1 Introduction
	2 Polygonal Boundaries
	3 Limestone Zonation in a Portlandite Matrix
		3.1 Experimental Procedure
		3.2 Result
	4 Chaos in a 2D PbCrO4 System
		4.1 Experimental Procedure
		4.2 Result
	5 Conclusions
	References
Modulating the Light-Driven Conductivity in Biosystem
	1 Introduction
	2 Model and Method
	3 Results
		3.1 The Incident Light Parameters
		3.2 The DNA Sequence Effect
		3.3 The Gate Voltage Effect
		3.4 The Temperature Effect
	4 Conclusions
	References
Approaches to Estimating the Dynamics of Interacting Populations with Impulse Effects and Uncertainty
	1 Introduction
	2 Main Problem Description
	3 Preliminary Results
		3.1 Control Systems with Uncertainty
		3.2 Two Quadratic Forms in the Equations of Dynamics of a Control System
	4 Main Results
		4.1 Lotka-Volterra Control Systems Under Uncertainty Conditions
		4.2 Iterative Algorithm and Results of Numerical Simulations
		4.3 Generalization of the Approach for the System with Impulsive Controls
	5 Conclusions
	References
Tricritical Directed Percolation with Long-Range Spreading
	1 Introduction
	2 Tricritical Directed Percolation
	3 Field-Theoretic Formulation
	4 RG Analysis
	References
Anisotropic MHD Turbulence Near Two Spatial Dimensions: General Field Theoretic Renormalization Group Analysis
	1 Introduction
	2 The model of MHD turbulence with small-scale uniaxial anisotropy
	3 The field theoretic formulation of the model
	4 The multiplicative renormalization of the model  and the RG functions
	5 Conclusion
	References
Intermittency of Chaos Functions and the Belousov-Zhabotinsky Reaction
	1 Introduction
	2 Intermittency of Chaos Functions
	3 The BZ Reaction Model and 2-D Solvable Chaos Maps
	4 Discrete Limit Cycles with Chaotic Dynamics
	5 Conclusions
	Appendix
	References
Reaction-Diffusion Systems and Propagation of Limit Cycles with Chaotic Dynamics
	1 Introduction
	2 Reaction-Diffusion Systems
	3 2-D Solvable Chaos Maps
	4 Bifurcation Diagrams and Discrete Limit Cycles
	5 Conclusions
	Appendix
	References
Decision-Making in a Context of Uncertainty
	1 Introduction
	2 Conclusion
	References
Microwave Oven Plasma Reactor Moding and Its Detection
	1 Introduction
	2 US Patents: Slot-Hole Cavity Magnetron and Packaged Magnetron Drive Circuits
	3 Packaged Magnetron and Their Power Supplies Reported by Academic Institutes
	4 Mode Production
		4.1 Mode Production Within a Free Running Magnetron
		4.2 Plasma Mode Production
	5 Summary
	References
Unexpected Properties of Open Quantum Graphs and Microwave Networks
	1 Introduction
	2 Simulations of Quantum Graphs Using Microwave Networks
	3 The Resonance Conditions
	4 Conclusions
	References
Dynamics of a Cournot Duopoly Game with Differentiated Goods Between Public and Private Firms
	1 Introduction
	2 The Game
		2.1 The Construction of the Game
		2.2 Dynamical Analysis
	3 Numerical Simulations
		3.1 Focusing on the Parameter K (Speed of Adjustment)
		3.2 Focusing on the Parameter D (Differentiation Degree)
	4 Conclusions
	References
Influence of the Heart Rate on Dynamics of Cardiorespiratory System
	1 Introduction
	2 The Model
	3 Simulations
	4 Conclusions
	References
Threshold Method for Control of Chaotic Oscillations
	1 Introduction
	2 Modelling and Analysis of Non-linear Element
	3 Modelling and Analysis of the Classical Chaotic Chua’s Generator
	4 Practical Realization of the Threshold Method for Control of Chaotic Oscillations
	5 Conclusions
	References
Some Implications of Invariant Model of Boltzmann Statistical Mechanics to the Gap Between Physics and Mathematics
	1 Introduction
	2 A Scale Invariant Model of Statistical Mechanics
	3 Invariant Definitions of External Space and Time Versus Internal Spacetime
	4 Connections Between Riemann Hypothesis, Quantum Mechanics, and Kinetic Theory of Ideal Gas
	5 Implications to Cantor Uncountability Theorem, Continuum Hypothesis, Infinitesimals, and Russell Paradox
	6 Concluding Remarks
	References
Deterministic Irreversibility Mechanism and Basic Element of Matter
	1 Introduction
	2 The Nature of DMI
	3 Evolutionary Non-linearity and Symmetry Breaking
	4 On the Nature of Chaos and Order
	5 Dual Phase Space
	6 Discussion
	References
Global Indeterminacy and Invariant Manifolds Near Homoclinic Orbit  to a Real Saddle in a Resource  Optimal System
	1 Introduction
	2 The Model
		2.1 Steady States Analysis
	3 The Existence of a Saddle with Three Purely Real Eigenvalues
	4 The Existence of a Homoclinic Orbit
	5 Existence of a Unique Limit Cycle In the Neighborhood of a Homoclinic Orbit
	6 Conclusions
	References
The Method of Singular Integral Equations in the Theory of Microstrip Antennas Based on Chiral Metamaterials
	1 Statement of the Problem. Surface Impedance Method
		1.1 Determination of Elements of the Matrix of Input Impedances
		1.2 The Surface Impedance Matrix Elements
	2 Mathematical Model of a Microstrip Antenna with a Chiral Substrate. The Method of Singular Integral Representations of the Field
	3 Characteristics of Microstrip Antennas with Chiral Substrates
		3.1 Impedance Characteristics of MSA with a Chiral Substrate
		3.2 Calculation of the Electric Field Produced by a Microstrip Antenna with a Chiral Substrate
	4 Diffraction of a Plane Electromagnetic Wave on a Microstrip Antenna with a Chiral Substrate
	References
Microstrip and Fractal Antennas Based on Chiral Metamaterials in MIMO Systems
	1 Possibilities of Increasing Throughput, MIMO Systems, By the Using of Antenna Based on Metamaterials
	2 Characteristics of a Microstrip Antenna with a Fractal Radiator Located on a Chiral Substrate
	References