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  • 标题:Holistic Method in Biological System Modeling and the Rule of Lyapunov Exponent in Chaotic Assessment of a System
  • 本地全文:下载
  • 作者:Gholamreza Attarodi ; Zahra Abbasvandi ; Hamid MohammadBeigi
  • 期刊名称:International Journal of Advanced Research In Computer Science and Software Engineering
  • 印刷版ISSN:2277-6451
  • 电子版ISSN:2277-128X
  • 出版年度:2013
  • 卷号:3
  • 期号:10
  • 出版社:S.S. Mishra
  • 摘要:In this paper first we have a look at holistic Method in Biological System Modeling and its difference from the single criterion like Lyapunov Exponent. We will show how to use Lyapunov Exponent in Biological Systems for Chaotic assessment. We will have a discussion on Logistic Equation. We see if the parameter in this equation is 3.7 then the system has chaotic behavior and the Lyapunov Exponent is approximately 3. But if we change this parameter then the system may be not chaotic but the Lyapa unov Exponent is still positive. In deterministic view all the interaction in the system are not considered. We use a point processing method . We obtained each point from previous point by using functions of derivatives. In Continuous Logistic equation all the connections have continuous manner and we have no creation of the information and no new events are possible to change the behavior of the system. In Bifurcation we have discreet states and these cannot be expressed by these deterministic continuous equation. However the discreet Logistic equation can show these phenomena easily by low order equation. We show that we cannot use criterions like Lyapunov Exponent to show Chaos in Systems however some researchers use
  • 关键词:holistic Methods; Discreet Systems; Lyapunov Exponent; Chaotic behavior
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