LEADER 05942nam 22007815 450 001 9910254217103321 005 20200630090543.0 010 $a3-319-40673-6 024 7 $a10.1007/978-3-319-40673-2 035 $a(CKB)3710000000831525 035 $a(DE-He213)978-3-319-40673-2 035 $a(MiAaPQ)EBC4648164 035 $a(PPN)194803716 035 $a(EXLCZ)993710000000831525 100 $a20160816d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvances in Dynamical Systems and Control$b[electronic resource] /$fedited by Victor A. Sadovnichiy, Mikhail Z. Zgurovsky 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XXII, 471 p. 71 illus., 39 illus. in color.) 225 1 $aStudies in Systems, Decision and Control,$x2198-4182 ;$v69 311 $a3-319-40672-8 320 $aIncludes bibliographical references at the end of each chapters. 327 $aPart I Applied Methods of Modern Algebra and Analysis -- Convergence Almost Everywhere of Orthorecursive Expansions in Functional Systems -- Billiard Systems as the Models for the Rigid Body Dynamics -- Uniform Global Attractors for Nonautonomous Evolution Inclusions -- The Past, Present and Future of Optimal Connections Theory -- Generalised Pisot Numbers and Matrix Decomposition -- On the Periodicity of Continued Fractions in Hyperelliptic Fields -- Part II Discrete and Continuous Dynamical Systems -- Characterization of Pullback Attractors for Generalized Processes -- Graduation of Life Tables: a Review and a Proposal Using Dynamical Systems -- A Nonautonomous Model for Immune Response to Virus in Fluctuating Environments -- Some Aspects Concerning the Dynamics of Stochastic Chemostats -- Higher-order Cahn-Hilliard Models with a Logarithmic Nonlinear Term -- Dynamical Systems Generated by Thue-Morse, Fibonacci and Shapiro Chains -- On Uniform Global Attractor for Non-Autonomous Reaction-Diffusion System with Caratheodory?s Nonlinearity -- Part III Fundamental and Computational Mechanics -- Two Thermodynamic Laws as the Forth and the Fifth Integral Postulates of Continuum Mechanics -- Flow Control Near a Square Prism with the Help of Frontal Flat Plates -- Long-time Behavior of State Functions for Badyko Models -- Part IV Optimization, Control and Decision Making -- On Approximate Regulator in Linear-Quadratic Problem with Distributed Control -- Approximate Optimal Control for Parabolic-Hyperbolic Equations with Nonlocal Boundary Conditions and General Quadratic Quality Criterion -- The Optimal Control Problem with Minimum Energy for One Nonlocal Distributed System -- On Optimal L1-Control in Coefficients for a Degenerate Elliptic Equation: Optimality Conditions -- Estimation of Consistency of Fuzzy Pairwise Comparison Matrices using a Defuzzification Method. 330 $aFocused on recent advances, this book covers theoretical foundations as well as various applications. It presents modern mathematical modeling approaches to the qualitative and numerical analysis of solutions for complex engineering problems in physics, mechanics, biochemistry, geophysics, biology and climatology. Contributions by an international team of respected authors bridge the gap between abstract mathematical approaches, such as applied methods of modern analysis, algebra, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems on the one hand, and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other. As such, the book will be of interest to mathematicians and engineers working at the interface of these fields. . 410 0$aStudies in Systems, Decision and Control,$x2198-4182 ;$v69 606 $aVibration 606 $aDynamical systems 606 $aDynamics 606 $aErgodic theory 606 $aStatistical physics 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMathematical physics 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aVibration. 615 0$aDynamical systems. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aStatistical physics. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aMathematical physics. 615 14$aVibration, Dynamical Systems, Control. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aComplex Systems. 615 24$aMathematical and Computational Engineering. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aStatistical Physics and Dynamical Systems. 676 $a620 702 $aSadovnichiy$b Victor A$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aZgurovsky$b Mikhail Z$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254217103321 996 $aAdvances in Dynamical Systems and Control$91540598 997 $aUNINA