Abelian Integrals and Bifurcation Theory.

reportActive / Technical Report | Accession Number: ADA142198 | Open PDF

Abstract:

Conditions are given for uniqueness of limit cycles for autonomous equations in the plane. The results are applicable to codimension two bifurcations near equilibrium points for vector fields. Author

Author(s):
Carr, J. ; Chow, S. N. ; Hale, J. K.
Author Organization(s):
BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
Descriptive Note:
Technical rept.,
Supplementary Note:
Prepared in cooperation with Michigan State Univ., East Lansing and Heriot-Watt Univ., Edinburgh, Scotland. Sponsored in part by Grants NSF-MCS82-01768 and NSF-MCS82-05355. DOI: 10.21236/ADA142198
Pagination:
0047

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
LCDS-84-7, AFOSR-TR-84-0465
Contract/Grant Number(s):
DAAG29-83-K-0029, AFOSR-81-0198
Task Number(s):
A1
Project Number(s):
2304
Monitor Series:
TR-84-0465, 19638.12-MA
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_5.3_Planning; JCA_1_Force Support; JCA_1.2_Force Preparation; JCA_1.4.2_Health Service Delivery; JCA_1.4_Force Support; JCA_1.2.3_Educating
Modernization Areas:
Autonomy; Fully Networked C3
Communities of Interest:
Air Platforms
Descriptor(s):
*INTEGRALS, *BIFURCATION(MATHEMATICS), THEORY, EQUILIBRIUM(GENERAL), VECTOR ANALYSIS, EQUATIONS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
*Abelian integrals, Autonomous equations, Limit cycles, Uniqueness, PE61102F, WUAFOSR2304A1
Report Date:
1984 Apr 01