On absolute stability

Roger C. McCann

Annales de l'institut Fourier (1972)

  • Volume: 22, Issue: 4, page 265-269
  • ISSN: 0373-0956

Abstract

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Absolute stability of a compact set is characterized by the cardinality of a fundamental system of positively invariant neighborhoods.

How to cite

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McCann, Roger C.. "On absolute stability." Annales de l'institut Fourier 22.4 (1972): 265-269. <http://eudml.org/doc/74101>.

@article{McCann1972,
abstract = {Absolute stability of a compact set is characterized by the cardinality of a fundamental system of positively invariant neighborhoods.},
author = {McCann, Roger C.},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {4},
pages = {265-269},
publisher = {Association des Annales de l'Institut Fourier},
title = {On absolute stability},
url = {http://eudml.org/doc/74101},
volume = {22},
year = {1972},
}

TY - JOUR
AU - McCann, Roger C.
TI - On absolute stability
JO - Annales de l'institut Fourier
PY - 1972
PB - Association des Annales de l'Institut Fourier
VL - 22
IS - 4
SP - 265
EP - 269
AB - Absolute stability of a compact set is characterized by the cardinality of a fundamental system of positively invariant neighborhoods.
LA - eng
UR - http://eudml.org/doc/74101
ER -

References

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  1. [1] J. AUSLANDER, P. SEIBERT, Prolongations and stability in dynamical systems, Ann. Inst. Fourier, Grenoble, 14 (1964), 237-268. Zbl0128.31303MR31 #455
  2. [2] O. HAJEK, Dynamical Systems in the Plane, Academic Press, London, 1968. Zbl0169.54401MR39 #1767
  3. [3] O. HAJEK, Absolute stability of non-compact sets, J. Differential Equations 9 (1971), 496-508. Zbl0226.34045MR42 #8035
  4. [4] K. KURATOWSKI, Topology Vol. I, Academic Press, London, 1966. Zbl0158.40802MR36 #840
  5. [5] R. McCANN, Another characterization of absolute stability, Ann. Inst. Fourier, Grenoble, 21,4 (1971), 175-177. Zbl0226.54037MR49 #6206
  6. [6] R. McCANN, A classification of centers, Pacific J. Math., 30 (1969), 733-746. Zbl0179.13101MR41 #3930

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