Papamarkou, T. and Lawrance, A.J. (2014) Nonlinear dynamics of trajectories generated by fully-stretching piecewise linear maps. International Journal of Bifurcation and Chaos, 24(05), 1450071. (doi: 10.1142/S0218127414500710)
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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: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Papamarkou, Dr Theodore |
| Authors: | Papamarkou, T., and Lawrance, A.J. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Statistics |
| Journal Name: | International Journal of Bifurcation and Chaos |
| Publisher: | World Scientific Publishing |
| ISSN: | 0218-1274 |
| ISSN (Online): | 1793-6551 |
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