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" Differential equations and dynamical systems : "
Abdulla Azamov, Leonid Bunimovich, Akhtam Dzhalilov, Hong-Kun Khang, editors.
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BL
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| Record Number
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859492
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USA-Uzbekistan Conference on Analysis and Mathematical Physics(2nd :2017 :, Urgench, Uzbekistan)
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Differential equations and dynamical systems : : 2 USUZCAMP, Urgench, Uzbekistan, August 8-12, 2017 /\ Abdulla Azamov, Leonid Bunimovich, Akhtam Dzhalilov, Hong-Kun Khang, editors.
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| Publication Statement
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Cham :: Springer,, 2018.
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| Series Statement
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Springer proceedings in mathematics & statistics ;; volume 268
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1 online resource
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| ISBN
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3030014762
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: 3030014770
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: 9783030014766
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: 9783030014773
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3030014754
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9783030014759
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Includes bibliographical references.
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| Contents
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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.
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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.
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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.
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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.
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| Abstract
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This book features papers presented during a special session on dynamical systems, mathematical physics, and partial differential equations. Research articles are devoted to broad complex systems and models such as qualitative theory of dynamical systems, theory of games, circle diffeomorphisms, piecewise smooth circle maps, nonlinear parabolic systems, quadtratic dynamical systems, billiards, and intermittent maps. Focusing on a variety of topics from dynamical properties to stochastic properties of dynamical systems, this volume includes discussion on discrete-numerical tracking, conjugation between two critical circle maps, invariance principles, and the central limit theorem. Applications to game theory and networks are also included. Graduate students and researchers interested in complex systems, differential equations, dynamical systems, functional analysis, and mathematical physics will find this book useful for their studies. The special session was part of the second USA-Uzbekistan Conference on Analysis and Mathematical Physics held on August 8-12, 2017 at Urgench State University (Uzbekistan). The conference encouraged communication and future collaboration among U.S. mathematicians and their counterparts in Uzbekistan and other countries. Main themes included algebra and functional analysis, dynamical systems, mathematical physics and partial differential equations, probability theory and mathematical statistics, and pluripotential theory. A number of significant, recently established results were disseminated at the conference's scheduled plenary talks, while invited talks presented a broad spectrum of findings in several sessions. Based on a different session from the conference, Algebra, Complex Analysis, and Pluripotential Theory is also published in the Springer Proceedings in Mathematics & Statistics Series.
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| Subject
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Differential equations, Congresses.
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Dynamics, Congresses.
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Differential calculus equations.
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Differential equations.
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Dynamics.
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MATHEMATICS-- Calculus.
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MATHEMATICS-- Mathematical Analysis.
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Nonlinear science.
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Dynamical Systems and Ergodic Theory.
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Partial Differential Equations.
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| Dewey Classification
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515.35
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| LC Classification
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QA370
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| Added Entry
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Azamov, Abdulla
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Bunimovich, Leonid
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Dzhalilov, Akhtam
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Zhang, Hong-Kun
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