One-dimensional Dynamics for a Discontinuous Singular Map and the Routes to Chaos
- UNCW Author/Contributor (non-UNCW co-authors, if there are any, appear on document)
- Moorad Alexanian (Creator)
- Institution
- The University of North Carolina Wilmington (UNCW )
- Web Site: http://library.uncw.edu/
Abstract: We visit a previously proposed discontinuous, two-parameter generalization of thecontinuous, one-parameter logistic map and present exhaustive numerical studies of the behavior for different values of the two parameters and initial points x 0 . In particular, routes to chaos exist that do not exhibit period-doubling whereas period-doubling is the sole route to chaos in the logistic map. Aperiodic maps are found that lead to cobwebs with x = ±8 as accumulation points, where every neighborhood contains infinitely many points generated by the map.
One-dimensional Dynamics for a Discontinuous Singular Map and the Routes to Chaos
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Created on 1/19/2024
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Additional Information
- Publication
- Alexanian, Moorad. (2022). One-dimensional dynamics for a discontinuous singular map and the routes to chaos. Armenian Journal of Physics, 15 (4), 151-161. https://doi.org/10.54503/18291171-2022.15.4-141
- Language: English
- Date: 2022
- Keywords
- Physics, Mathematics, Aperiodicity, Chaotic behavior in systems, Quantum chaos