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Contributions to the Theory of Nonlinear Oscillations, Volume V
-
Edited by:
Lamberto Cesari
, J. LaSalle and Solomon Lefschetz
Language:
English
Published/Copyright:
2016
About this book
Classic contributions to the theory of nonlinear oscillations from the acclaimed Annals of Mathematics Studies series
Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.
To mark the continued success of the series, all books are available in paperback and as ebooks.
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Frontmatter
i -
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Preface
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Contents
vii -
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I. The Time Optimal Control Problem
1 -
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II. Continuous Dependence on a Parameter
25 -
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III. Poincare’s Perturbation Method and Topological Degree
37 -
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IV. On the Behavior of the Solutions of Linear Periodic Differential Systems Near Resonance Points
55 -
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V. On the Stability of Periodic Solutions of Weakly Nonlinear Periodic and Autonomous Differential Systems
91 -
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VI. Existence Theorems for Periodic Solutions of Nonlinear Lipschitzian Differential Systems and Fixed Point Theorems
115 -
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VII. The Applications of a Fixed Point Theorem to a Variety of Non-Linear Stability Problems
173 -
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VIII. Quadratic Differential Equations and Non-Associative Algebras
185 -
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IX. Sur Une Propriété De L’Ensemble Des Thajectoires Bornées De Certains Systèmes Dynamiques
215 -
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X. On Lagrange Stable Motions in the Neighborhood of Critical Points
219 -
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XI. The Local Theory of Piecewise Continuous Differential Equations
225 -
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XII. Asymptotic Stability in 3-Space
257 -
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XIII. Existence and Uniqueness of the Periodic Solution of an Equation for Autonomous Oscillations
269 -
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Appendix
285
Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 6, 2016
eBook ISBN:
9781400882649
Pages and Images/Illustrations in book
eBook ISBN:
9781400882649
Keywords for this book
Theorem; Periodic function; Equation; Bifurcation theory; Characteristic exponent; Differential equation; Eigenvalues and eigenvectors; Cartesian coordinate system; Linear differential equation; Coefficient; Lipschitz continuity; Floquet theory; Existence theorem; Lyapunov stability; Special case; Degeneracy (mathematics); Elliptic function; Nonlinear system; Continuous function; Degrees of freedom (statistics); Cauchy sequence; Quadratic function; Dimensional analysis; Differentiable function; N-vector; Maxima and minima; Existential quantification; Uniqueness theorem; Quadratic differential; Characteristic polynomial; Limit cycle; Affine space; Differentiable manifold; Fixed point (mathematics); Sign (mathematics); Linear space (geometry); Parametrization; Equations of motion; Implicit function theorem; Analytic function; Determinant; Control function (econometrics); Limit point; Hypersurface; Endomorphism; Homeomorphism; Vector space; Big O notation; Linear map; Orbital stability; Linearity; Manifold; Piecewise; Complex conjugate; Dimension; Scientific notation; Submanifold; Coefficient matrix; Convex set; Linear algebra; Real projective space; Homotopy; Affine plane; Summation; Probability; Clockwise; Connected space; Optimal control; Hyperplane; Theory
Audience(s) for this book
For an expert adult audience, including professional development and academic research