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Intro; Contents; On Linearization of Circle Diffeomorphisms; 1 Introduction; 2 Preliminaries and Notation; 3 Some Supporting Lemmas; 4 Proof of Theorem 2; References; The Fujita and Secondary Type Critical Exponents in Nonlinear Parabolic Equations and Systems; 1 Introduction; 2 Fujita Type Global Solvability; 2.1 Case of Single Equation; 3 Main Results; 3.1 Fujita Type Critical Exponent to the Problem (2.1); 3.2 The Fujita Type Global Solvability for the System (2.3); 4 The Second Critical Exponent Case; 5 Results of Numerical Experiments and Visualization; 6 Conclusion; References
A Language of Terms of Taylor's Formula for Quadratic Dynamical Systems and Its Fractality1 Introduction; 2 Estimation of the Remainder Term of Taylor's Formula; 3 The Language of Taylorian Terms and an Algorithm for Numerical Solving of a Cauchy Problem with High Precision; 4 A Language of Roots and Combinatorial Analysis of Their Affixes; 5 A Fractal of Suffixes; References; Discrete-Numerical Tracking Method for Constructing a Poincaré Map; 1 Introduction; 2 Discussion; 3 The Paradigma of the DN-Tracking Method; 3.1 Existence of a Closed Trajectory
3.2 Existence of the Bifurcation of Homoclinic Loop3.3 Existence of a Closed Trajectory of Multidimensional Systems; 3.4 Existence of the Period Doubling Bifurcation; References; A Discrete Mathematical Model for Heat Transfer Process in Rotating Regenerative Air Preheater; 1 Introduction; 2 Mathematical Model; References; On Attractors of Isospectral Compressions of Networks; 1 Introduction; 2 Isospectral Graph Reductions and Spectral Equivalence; 3 Attractors of Isospectral Reductions; References; On Herman's Theorem for Piecewise Smooth Circle Maps with Two Breaks; 1 Introduction
1 Introduction2 Statement of Results; 3 Proof of Theorem 1; 3.1 The Induced Function f""0362f; 3.2 ASIP for the Induced Process Xf""0362f; 3.3 Comparison Between Xf and Xf""0362f; 3.4 ASIP for the Original Process; 4 Applications; 4.1 Intermittent Maps; 4.2 Billiards with Flat Points; References; Central Limit Theorem for Billiards with Flat Points; 1 Introduction to the Main Result; 2 Induced Function; 3 Central Limit Theorem for the Induced Function; References; Almost Sure Rates of Mixing for Random Intermittent Maps; 1 Introduction; 2 The Set up and the Main Results; 3 Inducing Scheme
A Language of Terms of Taylor's Formula for Quadratic Dynamical Systems and Its Fractality1 Introduction; 2 Estimation of the Remainder Term of Taylor's Formula; 3 The Language of Taylorian Terms and an Algorithm for Numerical Solving of a Cauchy Problem with High Precision; 4 A Language of Roots and Combinatorial Analysis of Their Affixes; 5 A Fractal of Suffixes; References; Discrete-Numerical Tracking Method for Constructing a Poincaré Map; 1 Introduction; 2 Discussion; 3 The Paradigma of the DN-Tracking Method; 3.1 Existence of a Closed Trajectory
3.2 Existence of the Bifurcation of Homoclinic Loop3.3 Existence of a Closed Trajectory of Multidimensional Systems; 3.4 Existence of the Period Doubling Bifurcation; References; A Discrete Mathematical Model for Heat Transfer Process in Rotating Regenerative Air Preheater; 1 Introduction; 2 Mathematical Model; References; On Attractors of Isospectral Compressions of Networks; 1 Introduction; 2 Isospectral Graph Reductions and Spectral Equivalence; 3 Attractors of Isospectral Reductions; References; On Herman's Theorem for Piecewise Smooth Circle Maps with Two Breaks; 1 Introduction
1 Introduction2 Statement of Results; 3 Proof of Theorem 1; 3.1 The Induced Function f""0362f; 3.2 ASIP for the Induced Process Xf""0362f; 3.3 Comparison Between Xf and Xf""0362f; 3.4 ASIP for the Original Process; 4 Applications; 4.1 Intermittent Maps; 4.2 Billiards with Flat Points; References; Central Limit Theorem for Billiards with Flat Points; 1 Introduction to the Main Result; 2 Induced Function; 3 Central Limit Theorem for the Induced Function; References; Almost Sure Rates of Mixing for Random Intermittent Maps; 1 Introduction; 2 The Set up and the Main Results; 3 Inducing Scheme