The Scientific World Journal

Research Article

Time Evolution of Initial Errors in Lorenz’s 05 Chaotic Model

Table 2

Average values over of time limits (in days) for model values (EPM), for normal distributions , and for prediction time length (bold rows), difference between this model values and average values over received from (9)–(11) and NS (7) with parameters , , , , , , , , , and calculated from approximations of (4)–(7) for , , and (columns , , , , ). Standard deviation of (columns , , , , ) and average value and standard deviation (columns , , , , ) of .




(Days)

(EPM, )	4.9	0.1	6.8	0.1	10.2	0.2	12.9	0.1	19.7	0.3

(EPM, ) − ((9), )	2.4	0.1	2.3	0	2.3	0.1	2.3	0.1	2.4	0.3
(EPM, ) − ((10), )	3.3	0.1	3.5	0.1	3.3	0.1	2.6	0.1	1.7	0.3
(EPM, ) − ((11), )	1.8	0.1	1.5	0.1	1.4	0.1	1.5	0.2	1.8	0.3
(EPM, ) − (NS (7), )	1.3	0.1	1.3	0.2	1.5	0.2	1.5	0.2	1.2	0.4

(EPM, ) − ((9), )	2.5	0.1	2.4	0.1	2.3	0.1	2.3	0.1	2.1	0.6
(EPM, ) − ((10), )	3.1	0	3.2	0.1	2.8	0.1	2.3	0.1	3.4	0.1
(EPM, ) − ((11), )	1.6	0	1.3	0.1	1.4	0.2	1.5	0.2	0.4	0.8
(EPM, ) − (NS (7), )	1.3	0.1	1.4	0.2	1.6	0.1	1.5	0.2	1.6	0.3

(EPM, ) − ((9), )	2.5	0.1	2.2	0.1	2.2	0.1	2.2	0.2	3.6	0.6
(EPM, ) − ((10), )	2.7	0.1	2.6	0.2	2.2	0.2	2.1	0.2	5.6	0.1
(EPM, ) − ((11), )	1.6	0.1	1.5	0.2	1.6	0.2	1.6	0.2	—	—
(EPM, ) − (NS (7), )	1.6	0.1	1.5	0.1	1.6	0.1	1.6	0.1	3.4	0.5



(Days)

(EPM, )	5	0.1	5.2	0.2	8.2	0.2	10.9	0.3	18.2	0.3

(EPM, ) − ((9), )	2.5	0	2.4	0	2.1	0.2	2.5	0.9	2.8	0.4
(EPM, ) − ((10), )	3	0	2.9	0	2.5	0.1	1.6	0.2	1.4	0.3
(EPM, ) − ((11), )	1.7	0.1	1.6	0.1	1.2	0.1	1.3	0.2	1.3	0.4
(EPM, ) − (NS (7), )	1.6	0.1	1.6	0.1	1.6	0.1	1.6	0.2	2	0.2

(EPM, ) − ((9), )	2.4	0.1	2.3	0.1	2	0.2	1.9	0.2	3.6	0.2
(EPM, ) − ((10), )	2.6	0.1	2.6	0.1	1.9	0.1	1.4	0.2	4.6	0.2
(EPM, ) − ((11), )	1.5	0.1	1.4	0.1	1.3	0.1	1.5	0.2	—	0.3
(EPM, ) − (NS (7), )	1.6	0.1	1.6	0.1	1.6	0.1	1.6	0.2	1.9	0.2

(EPM, ) − ((9), )	2.4	0.1	2.5	0.1	2.1	0.1	2	0.2	2.6	0.6
(EPM, ) − ((10), )	2.8	0.1	2.8	0.1	2.2	0.2	1.5	0.2	2.6	0.2
(EPM, ) − ((11), )	1.6	0	1.5	0	1.3	0.1	1.4	0.2	1.4	4.3
(EPM, ) − (NS (7), )	1.6	0.1	1.6	0.1	1.5	0.1	1.6	0.2	1.9	1.1



(Days)

(EPM, ) − ((9), )	2.5	0.1	2.4	0.1	2.3	0.1	2.4	0.2	2.5	0.3
(EPM, ) − ((10), )	3.4	0.2	4.3	1	4.2	1.2	3.5	1.3	3	1.4
(EPM, ) − ((11), )	1.9	0.2	1.6	0.1	1.5	0.2	1.6	0.2	1.9	0.3
(EPM, ) − (NS (7), )	1.3	0.2	1.3	0.2	1.5	0.1	1.3	0.2	1.4	0.4

(EPM, ) − ((9), )	2.5	0.1	2.4	0	2.3	0.1	2.3	0.2	2.4	0.2
(EPM, ) − ((10), )	3.2	0.2	3.7	0.6	3.3	0.6	3	0.9	5.2	1.9
(EPM, ) − ((11), )	1.8	0.2	1.5	0.1	1.5	0.2	1.6	0.1	1	0.8
(EPM, ) − (NS (7), )	1.5	0.1	1.5	0.1	1.5	0.0	1.5	0.1	2	0.4

(EPM, ) − ((9), )	2.5	0.1	2.3	0.1	2.3	0.2	2.3	0.3	3.9	0.5
(EPM, ) − ((10), )	2.8	0.1	2.7	0.1	2.3	0.3	2.4	0.7	6.5	1.5
(EPM, ) − ((11), )	1.6	0.1	1.5	0	1.5	0.1	1.2	0.4	—	—
(EPM, ) − (NS (7), )	1.5	0.1	1.4	0.1	1.5	0.1	1.7	0.2	4.5	1.6