### 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

*Proceedings of the American Mathematical Society*,

*127*(2), 447-453.

**Perturbation of a globally stable steady state.** / Smith, Hal; Waltman, P.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 127, no. 2, pp. 447-453.

}

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 -