The Hopf Bifurcation Theorem.

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Abstract:

The Hopf Bifurcation Theorem concerns the bifurcation of a family of time periodic solutions of an evolution equation from a family of equilibrium solutions. Both finite and infinite dimensional versions of this theorem are given in this paper. Symmetry properties and the linearized stability of these solutions are also studied. Author

Author(s):
Crandall, Michael G. ; Rabinowitz, Paul H.
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0056

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-1604
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*LINEAR DIFFERENTIAL EQUATIONS, VECTOR ANALYSIS, SET THEORY, THEOREMS
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
*Hopf bifurcation theorem
Report Date:
1976 Apr 01