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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.

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Unstable weak attractors
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by Ronald A. Knight PDF
Proc. Amer. Math. Soc. 86 (1982), 586-590 Request permission

Abstract:

Our objective in this paper is to continue the process of classification and characterization of weak attractors initiated by the author in an earlier paper. In particular, we obtain additional characterizations of those weak attractors which are saddle sets and bilateral weak attractors.
References
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  • N. P. Bhatia and O. Hájek, Local semi-dynamical systems, Lecture Notes in Mathematics, Vol. 90, Springer-Verlag, Berlin-New York, 1969. MR 0251328
  • N. P. Bhatia and G. P. Szegö, Stability theory of dynamical systems, Die Grundlehren der mathematischen Wissenschaften, Band 161, Springer-Verlag, New York-Berlin, 1970. MR 0289890
  • R. Knight, Zubov’s condition revisited, Proc. Edinburgh Math. Soc. (to appear).
  • Dennis Sullivan, A counterexample to the periodic orbit conjecture, Inst. Hautes Études Sci. Publ. Math. 46 (1976), 5–14. MR 501022
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 86 (1982), 586-590
  • MSC: Primary 58F12; Secondary 34D99, 54H20
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0674085-0
  • MathSciNet review: 674085