R-robustly measure expansive homoclinic classes are hyperbolic
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Authors
Manseob Lee
- Department of Mathematics, Mokwon University, Daejeon, 302-729, Korea
Abstract
Let \(f:M\to M\) be a diffeomorphism on a closed smooth \(n(n\geq
2)\)-dimensional manifold \(M\) and let \(p\) be a hyperbolic periodic
point of \(f\).
We show that if the homoclinic class \(H_f(p)\) is R-robustly measure expansive then it is hyperbolic.
Share and Cite
ISRP Style
Manseob Lee, R-robustly measure expansive homoclinic classes are hyperbolic, Journal of Mathematics and Computer Science, 18 (2018), no. 2, 146--153
AMA Style
Lee Manseob, R-robustly measure expansive homoclinic classes are hyperbolic. J Math Comput SCI-JM. (2018); 18(2):146--153
Chicago/Turabian Style
Lee, Manseob. "R-robustly measure expansive homoclinic classes are hyperbolic." Journal of Mathematics and Computer Science, 18, no. 2 (2018): 146--153
Keywords
- Expansive
- measure expansive
- local product structure
- shadowing
- hyperbolic
- homoclinic class
- generic
MSC
- 34D10
- 37C20
- 37C29
- 37C50
- 37D30
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