On iteration invariants for (F1,F2)-sensitivity and weakly (F1,F2)-sensitivity of non-autonomous discrete systems
نویسندگان
چکیده
In this paper, we let (X, f1,∞) be a non-autonomous discrete system on a compact metric space X. For a positive k, the properties P̂ (k) and Q̂(k) of Furstenberg families are introduced for any integer k > 0. Based on the two properties, we prove that (F1,F2)sensitivity and weakly (F1,F2)-sensitivity are invariant under iterations. MR(2000) Subject Classification: 54H20, 54B20, 37B99, 37D45.
منابع مشابه
Some Iterative Properties of ( F 1 , F 2 ) -Chaos in Non-Autonomous Discrete Systems
This paper is concerned with invariance (F1,F2)-scrambled sets under iterations. The main results are an extension of the compound invariance of Li–Yorke chaos and distributional chaos. New definitions of (F1,F2)-scrambled sets in non-autonomous discrete systems are given. For a positive integer k, the properties P(k) and Q(k) of Furstenberg families are introduced. It is shown that, for any po...
متن کاملNonstabilized Nielsen coincidence invariants and Hopf--Ganea homomorphisms
In classical fixed point and coincidence theory the notion of Nielsen numbers has proved to be extremely fruitful. We extend it to pairs (f1, f2) of maps between manifolds of arbitrary dimensions, using nonstabilized normal bordism theory as our main tool. This leads to estimates of the minimum numbers MCC(f1, f2) (and MC(f1, f2), resp.) of pathcomponents (and of points, resp.) in the coinciden...
متن کاملHeterosis and heritability for yield and yield components in F1 and F2 generations of a bean cross
متن کامل
Carcass traits and physical characteristics of eggs in Japanese quail as affected by genotype, sex and hatch
The effect of genotype, sex and hatch on carcass traits and physical characteristics of eggs was investigated in the Japanese quail. Two strains of Japanese quails including the White (P1) and Wild (P2) genotypes were chosen as the parental generation and crossed reciprocally (10 single-pair mating) to create the F1 progeny. The F1 birds (27 males and 81 females) were mated randomly to produce ...
متن کاملNielsen Coincidence Theory in Arbitrary Codimensions
Given two maps f1, f2 : M −→ N between manifolds of the indicated arbitrary dimensions, when can they be deformed away from one another? More generally: what is the minimum number MCC(f1, f2) of pathcomponents of the coincidence space of maps f ′ 1 , f ′ 2 where f ′ i is homotopic to fi, i = 1, 2 ? Approaching this question via normal bordism theory we define a lower bound N(f1, f2) which gener...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016