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Publisher’s description: 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Habibulla, Akhadkulov; Akhtam, Dzhalilov; Khanin, Konstantin, On linearization of circle diffeomorphisms, 1-8 [Zbl 1403.37048]
Mersaid, Aripov, The Fujita and secondary type critical exponents in nonlinear parabolic equations and systems, 9-23 [Zbl 1408.35090]
Azamov, Abdulla, A language of terms of Taylor’s formula for quadratic dynamical systems and its fractality, 25-40 [Zbl 1431.65095]
Azamov, Abdulla; Odiljon, Akhmedov; Asliddin, Tilavov, Discrete-numerical tracking method for constructing a Poincaré map, 41-53 [Zbl 1406.34048]
Mansur, Bekimov; Rihan, Fathalla A., A discrete mathematical model for heat transfer process in rotating regenerative air preheater, 55-61 [Zbl 1404.39022]
Bunimovich, Leonid; Shu, Longmei, On attractors of isospectral compressions of networks, 63-73 [Zbl 1405.05173]
Dzhalilov, Akhtam; Jalilov, Alisher; Mayer, Dieter, On Herman’s theorem for piecewise smooth circle maps with two breaks, 75-100 [Zbl 1403.37047]
Gafurjan, Ibragimov; Waziri, Usman; Alias, Idham Arif; Ibrahim, Zarina Bibi, Pursuit game for an infinite system of first-order differential equations with negative coefficients, 101-113 [Zbl 1419.91115]
Chen, Jianyu; Nguyen, Kien, Invariance principles for ergodic systems with slowly \(\alpha \)-mixing inducing base, 115-126 [Zbl 1403.37008]
Nguyen, Kien; Zhang, Hong-Kun, Central limit theorem for billiards with flat points, 127-140 [Zbl 1403.37018]
Ruziboev, Marks, Almost sure rates of mixing for random intermittent maps, 141-152 [Zbl 1403.37046]
Safarov, Utkir, Conjugations between two critical circle maps with non-integer exponents, 153-168 [Zbl 1403.37049]
Muminjon, Tukhtasinov, \(\varepsilon \)-positional strategy in the second method of differential games of pursuit, 169-182 [Zbl 1419.91119]
Makhmadiyor, Yakhshiboev, Unilateral ball potentials on generalized Lebesgue spaces with variable exponent, 183-195 [Zbl 1408.42014]