논문KCI 등재
ATTRACTORS AND LYAPUNOV FUNCTION FOR CLOSED RELATIONS
대한수학회 (The Korean Mathematical Society)|2014.01|대한수학회논문집 (Communications of the KMS)|제29권 제1호|pp. 163-172
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we will study the characterizations of attractors and Lyapunov function which were studied in flows and homeomorphisms will also be satisfied in compact closed relation dynamics. In particular, we will find the necessary and sufficient conditions of the existence of the strict Lyapunov function.
Abstract
In this paper, we will study the characterizations of attractors and Lyapunov function which were studied in flows and homeomorphisms will also be satisfied in compact closed relation dynamics. In particular, we will find the necessary and sufficient conditions of the existence of the strict Lyapunov function.
참고문헌 (4)
- E. Akin, "The General Topology of Dynamical Systems, Graduate Studies in Mathematics, 1" (1993), American Mathematical Society
- N. P. Bhatia, "Stability Theory of Dynamical Systems" (1970), Springer-Verlag
- R. McGehee, "Attractors for closed relations on compact Hausdorff spaces", Indiana Univ. Math. J, 41(4), pp.1165~1209 (1992)
- M. Shub, "Global Stability of Dynamical Systems" (1987), Springer-Verlag
관련 논문AI추천
ATTRACTORS OF LOCAL SEMIFLOWS ON TOPOLOGICAL SPACESDesheng Li, Jintao Wang, Youbing Xiong대한수학회 · 대한수학회지2017 · 제54권 제3호ON ω-LIMIT SETS AND ATTRACTION OF NON-AUTONOMOUS DISCRETE DYNAMICAL SYSTEMSBin Chen, Lei Liu대한수학회 · 대한수학회지2012 · 제49권 제4호CHARACTERIZATIONS ON CHAIN RECURRENCES구세현, 박종서대한수학회 · 대한수학회보2010 · 제47권 제2호Topological stability in hyperspace dynamical systems구남집, 이현희, Nyamdavaa Tsegmid대한수학회 · 대한수학회논문집2020 · 제35권 제4호A homomorphism of minimal sets and its regularizer송형수강원경기수학회 · 한국수학논문집2010 · 제18권 제1호SOME PROPERTIES OF THE STRONG CHAIN RECURRENT SETAbbas Fakhari, Aliasghar Sarizadeh, Fatomeh Helen Ghane대한수학회 · 대한수학회논문집2010 · 제25권 제1호
이 간행물의 다른 논문 (20건)
Congruences on abundant semigroups with quasi-ideal S-adequate transversalsLili Wang, Aifa Wangpp. 1-8Crossed modules and strict Gr-categoriesNguyen Thu Thuy, Nguyen Tien Quang, Pham Thi Cucpp. 9-22Unramified scalar extensions of graded division algebras황윤성pp. 23-26ON f-DERIVATIONS FROM SEMILATTICES TO LATTICES연용호, 김경호pp. 27-36On a class of semilinear elliptic systems involving Grushin type operatorNguyen Thanh Chungpp. 37-50