JSM 2004 - Toronto

Abstract #301282

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Activity Number: 222
Type: Contributed
Date/Time: Tuesday, August 10, 2004 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #301282
Title: Repetition, Rise, and Fall in the Analysis of Biotic Time Series
Author(s): Minu K. Patel*+ and Hector Sabelli
Companies: University of Illinois, Chicago and Chicago Center for Creative Development
Address: Dept. of Medical Surgical Nursing, Chicago, IL, 60612,
Keywords: bipolar ; bios ; novelty ; diversification ; nonrandom complexity
Abstract:

New methods for time series analysis serve to identify creative phenomena. Recursions of trigonometric functions that model bipolar (positive and negative) feedback generate a pattern (bios) with characteristics similar to those found in time series of natural creative processes, namely novelty, diversification, and nonrandom complexity. We introduce another technique that differentiates bios from chaos. Repetition carries information in a nonrepetitive environment, as change conveys information in a stable one. Empirical time series (heartbeat intervals, respiration, some economic and meteorological data), biotic series and stochastic noise display more consecutive repetition than their shuffled copies. Chaotic series show very few consecutive repetitions. In evolving time series, consecutive repetition peaks at transitions from one pattern to another.

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Revised March 2004