[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2022.35.1.91

THE SPECTRAL DECOMPOSITION FOR FLOWS ON TVS-CONE METRIC SPACES

Lee, Kyung Bok (Department of Mathematics Hoseo University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.35, no.1, 2022 , pp. 91-101 More about this Journal

Abstract

We study some properties of nonwandering set Ω(𝜙) and chain recurrent set CR(𝜙) for an expansive flow which has the POTP on a compact TVS-cone metric spaces. Moreover we shall prove a spectral decomposition theorem for an expansive flow which has the POTP on TVS-cone metric spaces.

Keywords

TVS-cone metric space; flow; Nonwandering set and chain recurrent set; POTP; expansiveness; stable and unstable sets; topologically transitive; The spectral decomposition theorem;

Citations & Related Records

Reference

1	J. S. Park and S. H. Ku, A spectral decomposition for flows on uniform space, Nonlinear Anal., 200 (2020), 1-8
2	S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc., 73 (1967), 747-817 DOI
3	K. B. Lee Topological entropy of Expansive flows on TVS-cone metric spaces, J.Chungcheong Math. Soc., 34, (2021), no.3, 259-269
4	S. Lin and Y. Ge, Compact-valued continuous relations on TVS-cone metric spaces, Published by Faculty of Sciences and Mathematics, University of Nis, Serbia, Filomat 27 (2013), 327-332.