ON THE LYAPOUNOV CENTER THEOREM,

Abstract

Lyapounov proved there exists a 1-parameter family y periodic orbits for certain analytic Hamiltonian systems. The question of the differentiability of the resulting manifold of periodic selections was not considered. C. L. Siegel proved the analyticity of the resulting manifold. The results given in the present work settle the problem of existence and smoothness of the manifold for non-analytic systems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 07, 1965
Accession Number
AD0623021

Entities

People

  • Al Kelley Jr.

Organizations

  • University of California, Berkeley

Tags

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space