periodic orbits of period-p
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![Page 1: Periodic orbits of period-p](https://reader031.vdocuments.mx/reader031/viewer/2022013005/61cc9522cf9c200a43746ee9/html5/thumbnails/1.jpg)
Symbolic dynamics, counting perodic orbits and chaos
Periodic orbits of period-p
![Page 2: Periodic orbits of period-p](https://reader031.vdocuments.mx/reader031/viewer/2022013005/61cc9522cf9c200a43746ee9/html5/thumbnails/2.jpg)
![Page 3: Periodic orbits of period-p](https://reader031.vdocuments.mx/reader031/viewer/2022013005/61cc9522cf9c200a43746ee9/html5/thumbnails/3.jpg)
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Two orbits of shift map with close initial conditions
Shift map is chaotic. All period-p orbits are unstable.
![Page 6: Periodic orbits of period-p](https://reader031.vdocuments.mx/reader031/viewer/2022013005/61cc9522cf9c200a43746ee9/html5/thumbnails/6.jpg)
Shift map and logistic map
![Page 7: Periodic orbits of period-p](https://reader031.vdocuments.mx/reader031/viewer/2022013005/61cc9522cf9c200a43746ee9/html5/thumbnails/7.jpg)
Orbits are jumbled ....