An Example of a Vector Field with the Oriented Shadowing Property
Author:
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering
Link
http://link.springer.com/content/pdf/10.1007/s10883-015-9272-9.pdf
Reference18 articles.
1. Anosov DV. On a class of invariant sets of smooth dynamical systems. Proc. 5th Int. Conf. on Nonlin. Oscill., Kiev, vol. 2; 1970. p. 39–45.
2. Bowen R. Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Lecture notes in math., vol. 470. Berlin: Springer; 1975.
3. Gan S, Li M, Tikhomirov S. Oriented shadowing property and Ω-stability for vector fields. Accepted by J Dyn Diff Equat. doi: 10.1007/s10884-014-9399-5 .
4. Katok A, Hasselblatt B. Introduction to the modern theory of dynamical systems. Encyclopedia of Mathematics and its Applications, 54. Cambridge: Cambridge University Press; 1995.
5. Komuro M. One-parameter flows with the pseudo orbit tracing property. Monat Math. 1984;98:219–253.
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