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On the global dynamics of attractors for scalar delay equations
Author(s):
Christopher
McCord;
Konstantin
Mischaikow
Journal:
J. Amer. Math. Soc.
9
(1996),
1095-1133.
MSC (1991):
Primary 58F12, 58F32, 34K05
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Abstract:
A semi-conjugacy from the dynamics of the global attractors for a family of scalar delay differential equations with negative feedback onto the dynamics of a simple system of ordinary differential equations is constructed. The construction and proof are done in an abstract setting, and hence, are valid for a variety of dynamical systems which need not arise from delay equations. The proofs are based on the Conley index theory.
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Additional Information:
Christopher
McCord
Affiliation:
Institute for Dynamics University of Cincinnati Cincinnati, Ohio 45221-0025
Email:
chris.mccord@uc.edu
Konstantin
Mischaikow
Affiliation:
Center for Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology, Atlanta, Georgia 30332
Email:
mischaik@math.gatech.edu
DOI:
10.1090/S0894-0347-96-00207-X
PII:
S 0894-0347(96)00207-X
Received by editor(s):
July 24, 1992
Received by editor(s) in revised form:
September 5, 1995
Additional Notes:
Research was supported in part by NSF Grant DMS-9101412.
Copyright of article:
Copyright
1996,
American Mathematical Society
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