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

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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

Author(s):
Diliberto, Stephen P.
Author Organization(s):
CALIFORNIA UNIV BERKELEY SPACE SCIENCES LAB
Descriptive Note:
Technical rept.,
Supplementary Note:
See also AD-710 791.
Pagination:
0028

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
Series-11-Issue-55
Contract/Grant Number(s):
N00014-69-A-0200-1024
Project Number(s):
NR-041-255
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*ANALYTIC FUNCTIONS, THEOREMS), (*N BODY PROBLEM, STABILITY), CELESTIAL MECHANICS, TRANSFORMATIONS(MATHEMATICS), POWER SERIES, HAMILTONIAN, CONVERGENCE
Field(s)/Group(s):
Celestial Mechanics, Numerical Mathematics, Mechanics
Keyword(s):
PERIODIC FUNCTIONS, DEGREES OF FREEDOM
Report Date:
1970 Aug 01