03497nam 22009975 450 991015474420332120190708092533.01-4008-8227-310.1515/9781400882274(CKB)3710000000631353(MiAaPQ)EBC4738694(DE-B1597)467985(OCoLC)979911357(DE-B1597)9781400882274(EXLCZ)99371000000063135320190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierIntroduction to Non-Linear Mechanics. (AM-11), Volume 11 /Nikolai Nikolaevich Bogoliubov, Nikolai Mitrofanovich KrylovPrinceton, NJ : Princeton University Press, [2016]©19501 online resource (116 pages) illustrationsAnnals of Mathematics Studies ;2890-691-07985-4 Includes bibliographical references.Frontmatter -- INTRODUCTION / Lefschetz, S. -- TABLE OF CONTENTS -- I. SOME NON-LINEAR OSCILLATORY SYSTEMS -- II. ELEMENTARY THEORY OF THE FIRST APPROXIMATION -- III. REFINEMENT OF THE FIRST APPROXIMATION -- IV. CONSTRUCTION OF THE HIGHER APPROXIMATIONS -- V. LINEARIZATION -- VI. APPLICATION OF SYMBOLIC METHODS TO LINEARIZATION -- VII. MULTIPLY PERIODIC SYSTEMS -- VIII. INFLUENCE OF PERIODIC DISTURBANCES -- IX. COMPLEMENTS -- BIBLIOGRAPHY -- ERRATAThe description for this book, Introduction to Non-Linear Mechanics. (AM-11), Volume 11, will be forthcoming.Annals of mathematics studies ;no. 11.Differential equationsOscillationsAddition.Amplitude.Angle of rotation.Angular momentum.Approximation.Astronomy.Characteristic exponent.Coefficient.Computation.Constant of integration.Constant term.Coulomb's law.Degrees of freedom (statistics).Derivative.Determination.Differential equation.Dissipation.Equation.Fourier series.Initial value problem.K0.Linear differential equation.Linear equation.Linearization.Magnetic flux.Mechanics.Moment of inertia.Network analysis (electrical circuits).Nonlinear system.Oscillation.Parameter.Periodic function.Polynomial.Power series.Quantity.Quasiperiodic function.Sign (mathematics).Special case.Technology.Theorem.Theory.Trigonometry.Differential equations.Oscillations.531.3Krylov Nikolai Mitrofanovich, 1223676Bogoliubov Nikolai Nikolaevich, DE-B1597DE-B1597BOOK9910154744203321Introduction to Non-Linear Mechanics. (AM-11), Volume 112839522UNINA