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Nonlinear dynamics of trajectories generated by fully-stretching piecewise linear maps
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Papamarkou, Theodore and Lawrance, Anthony J. (2014) Nonlinear dynamics of trajectories generated by fully-stretching piecewise linear maps. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Volume 24 (Number 5). Article number 1450071. doi:10.1142/S0218127414500710 ISSN 0218-1274.
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Official URL: http://dx.doi.org/10.1142/S0218127414500710
Abstract
This paper focuses on the nonlinear dynamical properties of chaotic orbits iteratively generated by maps composed of linear branches which expand across the whole map range. The nonlinear dynamics of such orbits involve both their statistical and chaotic properties. More specifically, analytical expressions are provided for the mean-adjusted quadratic autocorrelation function (ACF) and for the Lyapunov exponent of trajectories produced by the considered collection of piecewise linear maps.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||||
| Journal or Publication Title: | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering | ||||||
| Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||||
| ISSN: | 0218-1274 | ||||||
| Official Date: | 2014 | ||||||
| Dates: |
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| Volume: | Volume 24 | ||||||
| Number: | Number 5 | ||||||
| Number of Pages: | 11 | ||||||
| Article Number: | Article number 1450071 | ||||||
| DOI: | 10.1142/S0218127414500710 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access |
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