Summary
International Symposium on Nonlinear Theory and its Applications
2008
Session Number:A3L-C
Session:
Number:A3L-C4
Some chaotic properties of the β-hysteresis transformation
Barnabas M. Garay, Rudolf Csikja, Janos Toth,
pp.-
Publication Date:2008/9/7
Online ISSN:2188-5079
Summary:
A two-valued piecewise-linear, constant slope, 1D transformation is defined as a simplified model for hysteresis. By using Gora’s S-matrix and classical results on Renyi’s β-transformation x → βx (mod 1) the density function of the induced absolutely continuous ergodic measure is determined. Interesting simulation results reveal the chaos established.