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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

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Official URL: http://dx.doi.org/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: Journal Article
Divisions: Faculty of 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:
DateEvent
2014Published
12 January 2014Submitted
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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