Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Total stability in nondifferentiable systems
HTML articles powered by AMS MathViewer

by Roger C. McCann PDF
Proc. Amer. Math. Soc. 35 (1972), 112-116 Request permission

Abstract:

A definition of total stability in nondifferentiable dynamical systems is given. A prolongation is defined which characterizes the total stability of compact sets. A compact set which is the intersection of compact asymptotically stable sets is shown to be totally stable.
References
  • J. Auslander and P. Seibert, Prolongations and stability in dynamical systems, Ann. Inst. Fourier (Grenoble) 14 (1964), no. fasc. 2, 237–267. MR 176180
  • Otomar Hájek, Dynamical systems in the plane, Academic Press, London-New York, 1968. MR 0240418
  • John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
  • Roger C. McCann, Another characterization of absolute stability, Ann. Inst. Fourier (Grenoble) 21 (1971), no. 4, 175–177 (English, with French summary). MR 341455
  • P. Seibert, A concept of stability in dynamical systems, Topological Dynamics, edited by J. Auslander and W. Gottschalk, Benjamin, New York, 1968.
  • P. Seibert, Stability under sustained perturbations and its generalization to continuous flows, Acta Mexicana Ci. Tecn. 2 (1968), 154–165 (Spanish, with English summary). MR 251329
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54H20
  • Retrieve articles in all journals with MSC: 54H20
Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 35 (1972), 112-116
  • MSC: Primary 54H20
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0301720-2
  • MathSciNet review: 0301720