Local entropies as a measure of ordering in discrete maps

Teodor Buchner , Jan Żebrowski

Abstract

Local order measures are applied to a simple dynamical system: the logistic map. The results on pattern entropy are compared with those obtained using other, well-known order measures such as Renyi entropy, Shannon entropy and Lyapunov exponent (an analytical expression). Two modes of calculation are used: the global one and the local one (i.e. calculated in a sliding time window). The properties of local measures are discussed. It is concluded that the local measures defined here may be a natural tool for analysing non-stationary signals.
Author Teodor Buchner ZFUZ
Teodor Buchner,,
- Physics of Complex Systems Divison
, Jan Żebrowski ZFUZ
Jan Żebrowski,,
- Physics of Complex Systems Divison
Journal seriesChaos Solitons & Fractals, ISSN 0960-0779
Issue year1998
Vol9
No1–2
Pages19--28
DOIDOI:10.1016/S0960-0779(97)00045-3
URL http://www.sciencedirect.com/science/article/pii/S0960077997000453
Score (nominal)30
Publication indicators WoS Impact Factor [Impact Factor WoS]: 2006 = 2.042 (2) - 2007=2.574 (5)
Citation count*5 (2015-04-09)
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