Nonlinear dynamics of trajectories generated by fully-stretching piecewise linear maps


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.

In International Journal of Bifurcation and Chaos
Theodore Papamarkou
Theodore Papamarkou
Professor in maths of data science

Knowing is not enough, one must compute.