Supertracks,supertrack functions and chaos in the quadratic map |
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| Affiliation: | 1. Department of Mathematics, Faculty of Arts and Sciences, Yildiz Technical University, Istanbul, Turkey.;2. Department of Mathematics, Faculty of Arts and Science, Amasya University, Amasya, Turkey. |
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| Abstract: | Chaotic behavior for the quadratic map is conjectured to be a bounding phenomenon based on state-space trajectories starting from the maximum in the map. These trajectories, called supertracks, have no sensitivity to initial conditions. The chaotic regime is found to be characterized recursively by these trajectories as functions of the map parameter. |
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