Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V / / Lamberto Cesari, Solomon Lefschetz, J. LaSalle

• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1960
• Descrizione fisica: 1 online resource (300 pages) : illustrations
• Disciplina: 531/.32
• Soggetto topico: Oscillations
• Soggetto non controllato: Absolute value; Abstract algebra; Affine plane; Affine space; Algebraic Method; Analytic function; Bifurcation theory; Big O notation; Canonical form; Cartesian coordinate system; Cauchy sequence; Characteristic exponent; Characteristic polynomial; Clockwise; Coefficient matrix; Coefficient; Complete theory; Complex conjugate; Complex number; Complex plane; Computation; Connected space; Continuous function; Control function (econometrics); Convex set; Corollary; Critical frequency; Curve; Degeneracy (mathematics); Degrees of freedom (statistics); Determinant; Differentiable function; Differentiable manifold; Differential equation; Dimension; Dimensional analysis; Divisor (algebraic geometry); Eigenvalues and eigenvectors; Elliptic function; Endomorphism; Equation; Equations of motion; Existence theorem; Existential quantification; Fixed point (mathematics); Floquet theory; Homeomorphism; Homogeneous function; Homotopy; Hyperplane; Hypersurface; Implicit function theorem; Interval (mathematics); Limit cycle; Limit point; Line element; Linear algebra; Linear differential equation; Linear map; Linear space (geometry); Linearity; Lipschitz continuity; Lyapunov stability; Manifold; Matrix function; Maxima and minima; Morphism; N-vector; Non-associative algebra; Nonlinear system; Optimal control; Orbital stability; Parameter; Parametrization; Periodic function; Piecewise; Probability; Quadratic differential; Quadratic function; Quadratic; Real projective plane; Real projective space; Scientific notation; Second derivative; Semicircle; Separatrix (mathematics); Sign (mathematics); Special case; Submanifold; Summation; Theorem; Theory; Topological dynamics; Topological space; Transpose; Two-dimensional space; Uniform convergence; Uniqueness theorem; Vector space; Zero of a function
• Persona (resp. second.): CesariLamberto; LaSalleJ.; LefschetzSolomon
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Frontmatter -- Preface -- Contents -- I. The Time Optimal Control Problem / La Salle, J. P. -- II. Continuous Dependence on a Parameter / Jarnik, J. / Kurzweil, J. -- III. Poincare's Perturbation Method and Topological Degree / Cronin, Jane -- IV. On the Behavior of the Solutions of Linear Periodic Differential Systems Near Resonance Points / Hale, Jack K. -- V. On the Stability of Periodic Solutions of Weakly Nonlinear Periodic and Autonomous Differential Systems / Hale, J. K. -- VI. Existence Theorems for Periodic Solutions of Nonlinear Lipschitzian Differential Systems and Fixed Point Theorems / Cesari, Lamberto -- VII. The Applications of a Fixed Point Theorem to a Variety of Non-Linear Stability Problems / Stokes, Arnold -- VIII. Quadratic Differential Equations and Non-Associative Algebras / Markus, Lawrence -- IX. Sur Une Propriété De L'Ensemble Des Thajectoires Bornées De Certains Systèmes Dynamiques / Reeb, Georges -- X. On Lagrange Stable Motions in the Neighborhood of Critical Points / Mendelson, Pinchas -- XI. The Local Theory of Piecewise Continuous Differential Equations / André, J. / Seibert, P. -- XII. Asymptotic Stability in 3-Space / Coleman, Courtney -- XIII. Existence and Uniqueness of the Periodic Solution of an Equation for Autonomous Oscillations / Figueiredo, Rui Pacheco de -- Appendix / Pinney, E.
• Sommario/riassunto: The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V, will be forthcoming.
• Titolo autorizzato: Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V
• ISBN: 1-4008-8264-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154745003321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; no. 45.