A NEW METHOD FOR ESTABLISHING THE EXISTENCE OF ANALYTIC FUNCTIONS. III. GENERIC STABILITY OF HAMILTONIAN SYSTEMS.

Abstract

It is proved that near a singular point or a periodic solution of a Hamiltonian system with an arbitrary number of degrees of freedom the system is stable for almost all the cases if it is stable in the first approximation. This stability is established in the following strong sense: Near the singular point or periodic solution the entire neighborhood is filled in a smooth way with families of concentric periodic surfaces. The results are for analytic systems only. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1970
Accession Number
AD0711619

Entities

People

  • Stephen P. Diliberto

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Complex Variables
  • Functions (Mathematics)
  • Mathematical Analysis

Fields of Study

  • Mathematics
  • Physics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.