Poincare Reccurence Theorem on IF Events

被引：0

作者：

Riecan, Beloslav ^{[1
,2
]}

机构：

[1] Matej Bel Univ, Fac Nat Sci, Dept Math, Tajovskeho 40, SK-97401 Banska Bystrica, Slovakia

[2] Math Inst Slovak Acad Sci, SK-81473 Bratislava, Slovakia

来源：

CYBERNETICS AND INFORMATION TECHNOLOGIES | 2009年 / 9卷 / 02期

关键词：

Poincare reccurence theorem; Probability space; Intuitionistic fuzzy set;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The classical Poincare weak reccurence theorem states that for any probability space (Omega; S; P); any P - measure preserving transformation T, and any A epsilon S, almost all points of A return to A. In the present paper the Poincare theorem is proved when the sigma-algebra S is substituted by a family F of all measurable IF subsets of Omega.

引用

页码：26 / 29

页数：4

共 50 条

[41] THE EXTENDED POINCARE-BENDIXSON THEOREM
HARTLEY, TT
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1989, 36 (06): : 933 - 934
[42] POINCARE THEOREM AND SUBDYNAMICS FOR DRIVEN SYSTEMS
LEE, JY
TASAKI, S
[J]. PHYSICA A, 1992, 182 (1-2): : 59 - 99
[43] The Poincare theorem in linear circuit synthesis
Siwczynski, M.
Jaraczewski, M.
[J]. BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2007, 55 (01) : 49 - 58
[44] POINCARE RECURRENCE THEOREM IN IMPULSIVE SYSTEMS
Ding, Boyang
Ding, Changming
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2017, 49 (02) : 577 - 585
[45] FIXED-POINT THEOREM INCLUDING LAST THEOREM OF POINCARE
GARCIA, CB
[J]. MATHEMATICAL PROGRAMMING, 1975, 9 (02) : 227 - 239
[46] BROUWERS PLANE TRANSLATION THEOREM AND GENERALIZATIONS OF THE POINCARE-BIRKHOFF THEOREM
GUILLOU, L
[J]. TOPOLOGY, 1994, 33 (02) : 331 - 351
[47] Splitting theorem, Poincare-Hopf theorem and jumping nonlinear problems
Li, C
Li, SJ
Liu, JQ
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 221 (02) : 439 - 455
[48] Some Applications of the Poincare-Bendixson Theorem
Roussarie, Robert
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021, 20 (03)
[49] On the extension of a theorem of Poincare for difference-equations
Van Vleck, EB
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1912, 13 : 342 - +
[50] A POINCARE-BENDIXSON THEOREM FOR HYBRID SYSTEMS
Clark, William
Bloch, Anthony
Colombo, Leonardo
[J]. MATHEMATICAL CONTROL AND RELATED FIELDS, 2020, 10 (01) : 27 - 45

← 1 2 3 4 5 →