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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Parameter-shifted shadowing property for geometric Lorenz attractors
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by Shin Kiriki and Teruhiko Soma PDF
Trans. Amer. Math. Soc. 357 (2005), 1325-1339 Request permission

Abstract:

In this paper, we will show that any geometric Lorenz flow in a definite class satisfies the parameter-shifted shadowing property.
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Additional Information
  • Shin Kiriki
  • Affiliation: Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Hiki, Saitama-ken, 350-0394, Japan
  • Email: ged@r.dendai.ac.jp
  • Teruhiko Soma
  • Affiliation: Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Hiki, Saitama-ken, 350-0394, Japan
  • MR Author ID: 192547
  • Email: soma@r.dendai.ac.jp
  • Received by editor(s): April 10, 2003
  • Received by editor(s) in revised form: July 31, 2003
  • Published electronically: April 27, 2004
  • Additional Notes: The first author was supported in part by Research Institute for Science and Technology at TDU Grant Q02J-02, Q03J-08
  • © Copyright 2004 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 357 (2005), 1325-1339
  • MSC (2000): Primary 37C50, 37D45, 37D50; Secondary 34C28
  • DOI: https://doi.org/10.1090/S0002-9947-04-03607-4
  • MathSciNet review: 2115368