Research Article
Constructing Digitized Chaotic Time Series with a Guaranteed Enhanced Period
Table 4
The periodic orbits of original digitalized Logistic map with different precision.
| | | | | | | |
| | 4 | 16 | 16 | 15 | 1 | 4 | 3 | | 3 | 12 |
| | 8 | 256 | 256 | 255 | 1 | 4 | 4 | | 4 | 252 |
| | 9 | 512 | 512 | 511 | 1 | 6 | 7 | | 2 | 4 | | 5 | 218 | | 7 | 284 |
| | 10 | 1024 | 1024 | 1023 | 1 | 152 | 6 | | 2 | 24 | | 3 | 486 | | 6 | 362 |
| | 11 | 2048 | 2048 | 2047 | 1 | 94 | 6 | | 2 | 6 | | 3 | 18 | | 6 | 1930 |
| | 12 | 4096 | 4096 | 4095 | 1 | 10 | 9 | | 3 | 8 | | 8 | 98 | | 9 | 3980 |
| | 13 | 8192 | 8192 | 8191 | 1 | 872 | 42 | | 4 | 72 | | 7 | 258 | | 8 | 82 | | 42 | 6908 |
| | 14 | 16384 | 16384 | 16383 | 1 | 4 | 63 | | 63 | 16380 |
| | 15 | 32768 | 32768 | 32767 | 1 | 44 | 127 | | 6 | 46 | | 9 | 56 | | 20 | 6770 | | 91 | 14398 | | 127 | 11454 |
| | 16 | 65536 | 65536 | 65535 | 1 | 4 | 119 | | 7 | 112 | | 18 | 1574 | | 79 | 43998 | | 119 | 19848 |
| | 17 | 131072 | 131072 | 131071 | 1 | 4 | 199 | | 8 | 3318 | | 9 | 17214 | | 199 | 110536 |
| | 18 | 262144 | 262144 | 262143 | 1 | 4 | 588 | | 30 | 1354 | | 588 | 260786 |
| | 19 | 524288 | 524288 | 524287 | 1 | 4 | 656 | | 11 | 98 | | 12 | 1808 | | 16 | 440 | | 23 | 1446 | | 26 | 1436 | | 28 | 4626 | | 182 | 134352 | | 656 | 380080 |
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