Contributions to the Theory of Nonlinear Oscillations, Volume IV

by Solomon Lefschetz (Editor)

Overview

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.

Product Details

ISBN-13:	9780691079325
Publisher:	Princeton University Press
Publication date:	09/21/1958
Series:	Annals of Mathematics Studies , #41
Pages:	224
Product dimensions:	7.50(w) x 9.25(h) x (d)

Table of Contents

• Frontmatter, pg. i
• Preface, pg. v
• Contents, pg. vii
• I. On the Non-Linear Difference-Differential Equation y1(t) = [A - By(t-r) ly (t), pg. 1
• II. On the Critical Points of a Class of Differential Equations, pg. 19
• III. Optimal Discontinuous Forcing Terms, pg. 29
• IV. On the Structure of Symmetric Periodic Solutions of Conservative Systems, with Applications, pg. 53
• V. Asymptotic Behavior of Solutions of Canonical Systems Near a Closed, Unstable Orbit, pg. 85
• VI. Small Periodic Perturbations of an Autonomous System of Vector Equations, pg. 111
• VII. Rotated Vector Fields and an Equation for Relaxation Oscillations, pg. 125
• VIII. A Survey of Lyapunov’s Second Method, pg. 141
• IX. On Phase Portraits of Critical Points in n-Space, pg. 167
• X. On Non-Linear Repulsive Forces, pg. 201
• Backmatter, pg. 214