논문KCI 등재
Katok-Hasselblatt-kinematic expansive flows
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In this paper we introduce a new notion of expansive flows, which is the combination of expansivity in the sense of Katok and Hasselblatt and kinematic expansivity, named KH-kinematic expansivity. We present new properties of several variations of expansivity. A new hierarchy of expansive flows is given.
Abstract
In this paper we introduce a new notion of expansive flows, which is the combination of expansivity in the sense of Katok and Hasselblatt and kinematic expansivity, named KH-kinematic expansivity. We present new properties of several variations of expansivity. A new hierarchy of expansive flows is given.
참고문헌 (13)
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- T. Fisher, "Hyperbolic Flows, Zurich Lectures in Advanced Mathe-matics" (2019), European Mathematical Society Publishing House
- W. Flinn, "Expansive flows", PhD, pp.1972
- A. A. Gura, "The horocycle flow on a surface of negative curvature is separating", Mat. Zametki, 36(2), pp.279~284 (1984)
- H. M. Huynh, "Expansiveness for the geodesic and horocycle flows on compact Riemann surfaces of constant negative curvature", J. Math. Anal. Appl, 480(2), pp.123425~ (2019)[DOI]
- H. M. Huynh, "A solution to Flinn’s conjecture on weakly expansive flows", Ergodic The-ory Dynam. Systems, 41(5), pp.1390~1396 (2021)[DOI]
- A. Katok, "Introduction to the Modern Theory of Dynamical Systems" (1995), Cambridge University Press
- H. B. Keynes, "F-expansive transformation groups", General Topology Appl, 10(1), pp.67~85 (1979)
- M. Komuro, "The theory of dynamical systems and its applications to nonlinear problems", pp.4~26 (1984), World Sci. Publishing
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