04894nam 22012735 450 991015474520332120190708092533.01-4008-8263-X10.1515/9781400882632(CKB)3710000000631332(MiAaPQ)EBC4738757(DE-B1597)468005(OCoLC)979579221(DE-B1597)9781400882632(EXLCZ)99371000000063133220190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierContributions to the Theory of Nonlinear Oscillations (AM-20), Volume I /Solomon LefschetzPrinceton, NJ : Princeton University Press, [2016]©19501 online resource (365 pages) illustrationsAnnals of Mathematics Studies ;3240-691-07931-5 Includes bibliographical references.Frontmatter -- PREFACE -- CONTENTS -- I. ON SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, Stephen P. -- II. OSCILLATION OF A THIRD ORDER NONLINEAR AUTONOMOUS SYSTEM / Rauch, Lawrence Lee -- III. NON-LINEAR DELAY DIFFERENTIAL EQUATIONS / Brownell, F. H. -- IV. FORCED OSCILLATIONS IN NONLINEAR SYSTEMS / Cartwright, M. L. -- V. SINGULAR PERTURBATIONS OF A VAN DER POL EQUATION / Wendel, James G. -- VI. THE EXISTENCE OF FORCED PERIODIC SOLUTIONS OF SECOND ORDER DIFFERENTIAL EQUATIONS NEAR CERTAIN EQUILIBRIUM POINTS OF THE UNFORCED EQUATION / Langenhop, C. E. / Farnell, A. B. -- VII. ON THE CONSTRUCTION OF PERIODIC SOLUTIONS OF SINGULAR PERTURBATION PROBLEMS / Wasow, Wolfgang The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I, will be forthcoming.Annals of mathematics studies ;no. 20.OscillationsAbsolute value.Addition.Algebraic equation.Amplitude modulation.Angular frequency.Applied mathematics.Approximation.Boundary value problem.Coefficient.Complex analysis.Continuous function.Contradiction.Curve.Diagram (category theory).Differential equation.Dimensionless quantity.Discriminant.Eigenvalues and eigenvectors.Empty set.Equation.Experiment.Fourier.Frequency modulation.Homotopy.Implicit function theorem.Initial condition.Integer.Integral equation.Limit point.Linear map.Nonlinear system.Normal (geometry).Notation.Operator theory.Ordinary differential equation.Oscillation.Parameter.Periodic function.Phase space.Pure mathematics.Quantity.Rational function.Saddle point.Second derivative.Simply connected space.Singular perturbation.Solid torus.Special case.Suggestion.Summation.Tangent space.Theorem.Theory.Three-dimensional space (mathematics).Topology.Two-dimensional space.Uniqueness.Vacuum tube.Variable (mathematics).Vector field.Oscillations.531.3Lefschetz Solomon, 12523Brownell F. H., ctbhttps://id.loc.gov/vocabulary/relators/ctbCartwright M. L., ctbhttps://id.loc.gov/vocabulary/relators/ctbDiliberto Stephen P., ctbhttps://id.loc.gov/vocabulary/relators/ctbFarnell A. B., ctbhttps://id.loc.gov/vocabulary/relators/ctbLangenhop C. E., ctbhttps://id.loc.gov/vocabulary/relators/ctbRauch Lawrence Lee, ctbhttps://id.loc.gov/vocabulary/relators/ctbWasow Wolfgang, ctbhttps://id.loc.gov/vocabulary/relators/ctbWendel James G., ctbhttps://id.loc.gov/vocabulary/relators/ctbDE-B1597DE-B1597BOOK9910154745203321Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I2788006UNINA