Abstract
It is shown that within a parameterized family of semi-dynamical systems enjoying a mild uniform dissipative condition, the property that a locally asymptotically stable steady state is globally attracting is an open condition in the parameters.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 447-453 |
| Number of pages | 7 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 127 |
| Issue number | 2 |
| State | Published - 1999 |
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ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
Perturbation of a globally stable steady state. / Smith, Hal; Waltman, P.
In: Proceedings of the American Mathematical Society, Vol. 127, No. 2, 1999, p. 447-453.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Perturbation of a globally stable steady state
AU - Smith, Hal
AU - Waltman, P.
PY - 1999
Y1 - 1999
N2 - It is shown that within a parameterized family of semi-dynamical systems enjoying a mild uniform dissipative condition, the property that a locally asymptotically stable steady state is globally attracting is an open condition in the parameters.
AB - It is shown that within a parameterized family of semi-dynamical systems enjoying a mild uniform dissipative condition, the property that a locally asymptotically stable steady state is globally attracting is an open condition in the parameters.
UR - http://www.scopus.com/inward/record.url?scp=22444452981&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=22444452981&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:22444452981
VL - 127
SP - 447
EP - 453
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 2
ER -