A CONJECTURE TO THE SOLUTION OF THE CONTINUOUS LOGISTIC EQUATION

Author:

COHEN M. E.12,HUDSON D. L.1,ANDERSON M. F.13,DEEDWANIA P. C.13

Affiliation:

1. University of California, San Francisco, 2615E. Clinton Avenue, Fresno, CA 93703, USA

2. California State University, Fresno, USA

3. Veterans Affairs Medical Center, Fresno, USA

Abstract

Chaotic models as a rule are based on nonlinear recursive discrete equations, often illustrated by the logistic equation. In this paper, a conjecture is presented that gives an approximate solution to the continuous logistic equation. It is shown that if certain chaotic models are viewed as continuous rather than discrete, the strict borderline mathematical concept of the onset of chaos no longer retains its importance in some practical problems. In fact, it is more important to look at the degree of chaos, as illustrated in two medical problems dealing with blood flow and heart rate variability. The chaotic modeling approach is seen to be useful in analyzing experimental data.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Intelligent agents in home healthcare;annals of telecommunications - annales des télécommunications;2010-05-05

2. Chaos;Wiley Encyclopedia of Biomedical Engineering;2006-04-14

3. Chaos Time Series Analysis;Wiley Encyclopedia of Electrical and Electronics Engineering;1999-12-27

4. The role of the Internet in medical decision making;International Journal of Medical Informatics;1997-11

5. Fuzzy sets in life sciences;Fuzzy Sets and Systems;1997-09

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