1、N , N 9 N ; ; ; ; (1985-) , , , , , : ( 20134 ) Dynamical Properties of Descendible Mapping on N Dimensional Monomer Ji Zhanjiang School of Information and Electronic Engineering, Wuzhou University; Abstract According to some properties of interval mapping and product mapping, this paper makes a stu
2、dy on the dynamical properties of the descendible mapping. Finally, it draws nine conclusions about the descendible mapping on the N dimensional monome. These results further generalize the research findings of Professor of Xiong Jincheng and Professor Zhou Zuoling. Keyword N dimensional monomer; De
3、scendible mapping; Product mapping; Descendant group; 1 , , , Sarkovskii Sarkovskii , 1 1988 2 Block L3 4 , , , N 9 , 2 , Ii N , Xn , Nn 13 (X, d) , m0 f (x) =x, x f , f P (f) 23 (X, d) , f (x) x f f EP (f) 33 (X, d) , mk, y x x x , 43 (X, d) , x f f R (f) 55 (X, d) , m0, x f f 63 (X, d) , ord (x, f
4、) ord (x, f) x f 73 (X, d) , x U, x f f AP (f) 86 (X, d) x z , z V (z) , m0, z z f , W (z, f) 97 pi:Xn i pi (x) =xi, x= (x1, x2 n) , pi 108 f1, f2 , (x1, x2) F (x1, x2) = (f1 (x1) , f (x2) ) , F f1 f2 , F=f1 2 117 n) , f , Fi pi i i , Fi f 3 3.1 n) , z= (z1, z2 n n, t= (t1, t2 n n, d Xn , Fi , (1) F
5、i f (2) f , f ; (3) Fi f , i f ; (4) Fi f , f (z) = (F1 (z1) , F2 (z2 n (zn) ) ; : (1) 8, (2) , (3) , (4) (1) , (5) (4) 3.2 Fi f n) , z= (z1, z2 n n, (2) , : (1) 9 10, 11 3.2 (1) : , zi V (zi) , V (z) =V (z1 2 n) , V (z) z , 3.2 (2) , z V (z) =V (z1 2 n) , V (zi) zi yi i i y= (y1, y2 n) , 3.2 (2) ,
6、3.4 Fi f n) , i) , 3.3 , 3.2 (2) , i) , P (Fi) , 3.3 P (f) , i) , 4 I=0, 1 2 5 12 f 9 , : 4.2 4.7 , 4.8 W (f) 4.9 m1, 5 N , C (Xn) , Fi f , , 3.3 4.1 3.3 , 5.2 : , 3.2 (2) 3.3 4.2 , Orb (zi, Fi) 3.1 (4) Orb (z, f) 5.3 , w (z, f) : , 3.2 (2) 3.3 , , 4.3 , w (zi, Fi) 3.2 (1) :w (z, f) 5.4 AP (f) : AP
7、(f) , , 3.3 AP (f) , 3.4 , AP (Fi) 4.4 , zi i 3.2 (2) R (f) R (f) , , 3.3 , , R (f) , 3.4 , R (Fi) 4.4 : , AP (f) : , 3.3 4.5 3.2 (2) :z= (z1, z2 n 3.2 (2) 4.5 , 3.3 , : z= (z1, z2 n 3.2 (2) 4.6 5.8 W (f) 3.2 (2) W (f) 5.9 m1, : z= (z1, z2 n zi i i) (i=1, 4.9 , m1, zi Fi 3.1 (3) 3.2 (2) 1 , . M. : ,
8、 1992. 2 . : , J. , 1988, 17 (1) :1-11. 3Block L S, Coppel W A.Dynamics in one dimensionM.Berlin:Springer-Verlag, 1992. 4 , , , . M. : , 2011. 5 , , . M. : , 2013. 6 . J. ( ) , 1994, 11 (1) :12-15. 7 , , . J. ( ) , 2006, 23 (1) :12-14. 8 . J. :2006, 37 (4) :498-500. 9 . n J. ( ) , 2006, 22 (4) :124-125. 10 . J. ( ) , 1996, 11 (2) :131-132. 11 . J. ( ) , 2007, 24 (3) :101-103. 12 . J. , 1988, 3 (1) :42-65. 13 . : , J. , 1988, 17 (1) :1-11.
