Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 24, Issue 5, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127414500710
Keywords
Fully-stretching piecewise linear map; equi-distributed map; quadratic autocorrelation; Lyapunov exponent
Funding
- Centre for Research in Statistical Methodology (CRiSM) at Warwick
- EPSRC
- HEFCE
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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.
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