06814nam 22017535 450 991016494490332120190708092533.01-4008-8269-910.1515/9781400882694(CKB)3710000000628091(SSID)ssj0001651332(PQKBManifestationID)16425721(PQKBTitleCode)TC0001651332(PQKBWorkID)14220035(PQKB)10010264(MiAaPQ)EBC4792653(DE-B1597)468007(OCoLC)979633883(DE-B1597)9781400882694(EXLCZ)99371000000062809120190708d2016 fg engurcnu||||||||txtccrStable and Random Motions in Dynamical Systems With Special Emphasis on Celestial Mechanics (AM-77) /Jurgen MoserWith a New foreword by Philip J. HolmesPrinceton, NJ : Princeton University Press, [2016]©20011 online resource (212 pages) illustrationsPrinceton Landmarks in Mathematics and Physics ;77"The Institute for Advanced Study."0-691-08910-8 Includes bibliographical references.Frontmatter -- TABLE OF CONTENTS -- I. INTRODUCTION -- II. STABILITY PROBLEMS -- III. STATISTICAL BEHAVIOR -- V. FINAL REMARKS -- V. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS -- VI. PROOFS AND DETAILS FOR CHAPTER III -- BOOKS AND SURVEY ARTICLESFor centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics.Princeton landmarks in mathematics and physics.Hermann Weyl lectures.Celestial mechanicsAccuracy and precision.Action-angle coordinates.Analytic function.Bounded variation.Calculation.Chaos theory.Coefficient.Commutator.Constant term.Continuous embedding.Continuous function.Coordinate system.Countable set.Degrees of freedom (statistics).Degrees of freedom.Derivative.Determinant.Differentiable function.Differential equation.Dimension (vector space).Discrete group.Divergent series.Divisor.Duffing equation.Eigenfunction.Eigenvalues and eigenvectors.Elliptic orbit.Energy level.Equation.Ergodic theory.Ergodicity.Euclidean space.Even and odd functions.Existence theorem.Existential quantification.First-order partial differential equation.Forcing function (differential equations).Fréchet derivative.Gravitational constant.Hamiltonian mechanics.Hamiltonian system.Hessian matrix.Heteroclinic orbit.Homoclinic orbit.Hyperbolic partial differential equation.Hyperbolic set.Initial value problem.Integer.Integrable system.Integration by parts.Invariant manifold.Inverse function.Invertible matrix.Iteration.Jordan curve theorem.Klein bottle.Lie algebra.Linear map.Linear subspace.Linearization.Maxima and minima.Monotonic function.Newton's method.Nonlinear system.Normal bundle.Normal mode.Open set.Parameter.Partial differential equation.Periodic function.Periodic point.Perturbation theory (quantum mechanics).Phase space.Poincaré conjecture.Polynomial.Probability theory.Proportionality (mathematics).Quasiperiodic motion.Rate of convergence.Rational dependence.Regular element.Root of unity.Series expansion.Sign (mathematics).Smoothness.Special case.Stability theory.Statistical mechanics.Structural stability.Symbolic dynamics.Symmetric matrix.Tangent space.Theorem.Three-body problem.Uniqueness theorem.Unitary matrix.Variable (mathematics).Variational principle.Vector field.Zero of a function.Celestial mechanics.521/.1Moser Jurgen, 40546DE-B1597DE-B1597BOOK9910164944903321Stable and random motions in dynamical systems334062UNINA05186nam 2201477z- 450 991059507800332120220916(CKB)5680000000080746(oapen)https://directory.doabooks.org/handle/20.500.12854/92158(oapen)doab92158(EXLCZ)99568000000008074620202209d2022 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierModelling and Calculation of Raw Material IndustryBasel20221 online resource (250 p.)3-0365-5212-X 3-0365-5211-1 The raw materials industry is widely considered to be too environmentally costly, and causing more losses than benefits. The responsible solving of the problems caused by this industry is not "exporting" its operations to less developed countries, but addressing all recognized hazards with dedicated technological developments. Such an approach is presented by the authors of this book. The contributions deal with the optimization of processes in the raw materials industry, obtaining energy from alternative fuels, researching the environmental aspects of industrial activities. This book determines some guidelines for the sustainable raw materials industry, describing methods of the optimized use of mined deposits and the recovery of materials, reductions in energy consumption and the recuperation of energy, minimizations in the emissions of pollutants, the perfection of quieter and safer processes, and the facilitation of modern materials-, water-, and energy-related techniques and technologies.History of engineering & technologybicsscTechnology: general issuesbicsscacid leachingactivated carbonadsorption kineticsair flow aerodynamicsair pollutionair quality monitoringbattery recyclingbelt conveyorbench testingbiogas plantbiomass ashboiler tube wastagecoal ashcost of productiondiagnosticsdigestatedimension natural stone processingdiscrete event simulationdownhill transport of overburdendual-frequencydynamic loadecological safetyemission reduction methodsenergy conversion and storageenergy recoveryenergy recovery rateFEM simulationfire-side corrosionfly ashfossil fuelsfoulingGHG emissionsH2Sheating and energy processeshydraulic leghydrothermal carbonisationindustrial waste treatmentindustrial-scale boilersinertial vibratorion flotationLi-ion batteriesmechanical testmembrane processesmetal recoverymine machineMn(II)non-destructive inspectionoutdoor air qualitypipe inspectionPM1.0PM10PM2.5powerpowered roof supportpressure drop testprosumerpurification and removal techniquespyrolysisquarryraw material sustainable useraw material sustainable-use fossil fuelsrecoveryrecuperationsieving screensinteringslaggingSO2specific energy consumptionspectrumstable isotopesstatistical regressionstone wastestreet canyonsustainable manufacturingsustainable miningTGthermal analysisthermal lagunburned carbonused batteriesVOCwall thickness measurementwaste generationwaste managementwaste recyclingwater recoveryZn(II)History of engineering & technologyTechnology: general issuesCzajka Krzysztofedt1311311Kawalec WitoldedtKról RobertedtSówka IzabelaedtCzajka KrzysztofothKawalec WitoldothKról RobertothSówka IzabelaothBOOK9910595078003321Modelling and Calculation of Raw Material Industry3030229UNINA