1. Orbital shadowing for 3-flows.
- Author
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Gan, Shaobo and Li, Ming
- Subjects
- *
SHADOWING theorem (Mathematics) , *ORBIT method , *DIMENSION theory (Algebra) , *STABILITY theory , *SET theory - Abstract
We call that a flow has the orbital shadowing property if for any ε > 0 there is d > 0 such that, for any d -pseudo orbit g ( t ) there exists an orbit Orb ( x ) satisfying d i s t H ( g ( t ) ‾ , Orb ( x ) ‾ ) < ε . In this paper, we show that the C 1 -interior of the set of 3-dimensional flows having the orbital shadowing property is contained in the set of Ω-stable 3-flows. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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