05634nam 22015015 450 991015474510332120190708092533.01-4008-8270-210.1515/9781400882700(CKB)3710000000631333(MiAaPQ)EBC4738768(DE-B1597)467958(OCoLC)954123662(OCoLC)999354193(DE-B1597)9781400882700(EXLCZ)99371000000063133320190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierContributions to the Theory of Nonlinear Oscillations (AM-29), Volume II /Solomon LefschetzPrinceton, NJ : Princeton University Press, [2016]©19531 online resource (128 pages) illustrationsAnnals of Mathematics Studies ;3540-691-09581-7 Includes bibliographical references.Frontmatter -- Preface / Lefschetz, Solomon -- Contents -- I. Van der Pol's Equation for Relaxation Oscillations / Cartwright, M. L. -- II. Perturbations of Linear Systems with Constant Coefficients Possessing Periodic Solutions / Coddington, E. A. / Levinson, N. -- III. Dynamical Systems with Stable Structures / DeBaggis, H. F. -- IV. Notes on Differential Equations / Lefsehetz, Solomon -- V. A method for the Calculation of Limit Cycles by Successive Approximation / McCarthy, John -- VI. Asymptotic Expansions of Solutions of Systems of Ordinary Linear Differential Equations Containing a Parameter / Turrittin, H. L. These two new collections, numbers 28 and 29 respectively in the Annals of Mathematics Studies, continue the high standard set by the earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear differential equations.Annals of mathematics studies ;no. 29.OscillationsAddition.Analytic function.Approximation.Arc length.Asymptotic expansion.Big O notation.Bijection.Calculation.Canonical form.Cartesian coordinate system.Characteristic equation.Characteristic exponent.Circumference.Clockwise.Coefficient matrix.Coefficient.Concentric.Continuous function.Contradiction.Coordinate system.Determinant.Differential equation.Divisor.Dynamical system.Equation.Existential quantification.Exterior (topology).First variation.Geometry.Homotopy.Initial condition.Integer.Intersection (set theory).Interval (mathematics).Isolated point.Iteration.Limit cycle.Limit set.Linear differential equation.Linear equation.Main diagonal.Mathematician.Matrix (mathematics).Matrix coefficient.Monotonic function.Natural number.Nonlinear system.Parameter.Partial derivative.Periodic function.Phase plane.Phase portrait.Polar coordinate system.Polynomial.Projective plane.Quadratic transformation.Requirement.Saddle point.Separatrix (mathematics).Sequence.Special case.Square matrix.Statistical hypothesis testing.Structural stability.Subset.Suggestion.Theorem.Theory.Three-dimensional space (mathematics).Time derivative.Topology.Trigonometric polynomial.Uniqueness theorem.Unit vector.Variable (mathematics).Vector field.Velocity.Without loss of generality.Oscillations.531.3Lefschetz Solomon, 12523Cartwright M. L., ctbhttps://id.loc.gov/vocabulary/relators/ctbCoddington E. A., ctbhttps://id.loc.gov/vocabulary/relators/ctbDeBaggis H. F., ctbhttps://id.loc.gov/vocabulary/relators/ctbLefschetz Solomon, ctbhttps://id.loc.gov/vocabulary/relators/ctbLefsehetz Solomon, ctbhttps://id.loc.gov/vocabulary/relators/ctbLevinson N., ctbhttps://id.loc.gov/vocabulary/relators/ctbMcCarthy John, ctbhttps://id.loc.gov/vocabulary/relators/ctbTurrittin H. L., ctbhttps://id.loc.gov/vocabulary/relators/ctbDE-B1597DE-B1597BOOK9910154745103321Contributions to the Theory of Nonlinear Oscillations (AM-29), Volume II2788781UNINA