Generic Properties of an Integro-Differential Equation.

reportActive / Technical Report | Accession Number: ADA088242 | Open PDF

Abstract:

Consider the functional differential equation where a,g are continuous. The linear function is such that the characteristic equation has two eigenvalues on the imaginary axis and the remaining ones with negative real parts. In spite of this, it is shown there is no generic Hopf bifurcation for any g. The nature of the bifurcation is characterized under hypotheses which appear to be generic in g. Author

Author(s):
Hale, Jack K.
Author Organization(s):
BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
Descriptive Note:
Interim rept.,
Supplementary Note:
Sponsored in part by Grant NSF-MCS79-05774. DOI: 10.21236/ADA088242
Pagination:
0014

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
AFOSR-TR-80-0575
Contract/Grant Number(s):
DAAG29-79-C-0161, AFOSR-76-3092
Task Number(s):
A1
Project Number(s):
2304
Monitor Series:
TR-80-0575
 Subject Terms
Joint Capability Areas:
JCA_6.1_Information Transport; JCA_6_Net Centric
Modernization Areas:
Autonomy; Directed Energy
Communities of Interest:
Autonomy
Descriptor(s):
*DIFFERENTIAL EQUATIONS, *INTEGRAL EQUATIONS, EIGENVALUES, VECTOR SPACES, HYPOTHESES, THEOREMS
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
HOPF bifurcation theorem, PE61102F, WUAFOSR2304A1
Report Date:
1980 Jun 01