A Study on the Application of Henon with a Case Study of Ecology | ||
AL-Rafidain Journal of Computer Sciences and Mathematics | ||
Article 13, Volume 1, Issue 1, June 2004, Pages 39-57 PDF (485.46 K) | ||
Document Type: Research Paper | ||
DOI: 10.33899/csmj.2004.164105 | ||
Authors | ||
Basil Y.Th. Al-Khayat; Inaam H. Abd | ||
Mathematics department College of Computer Science and Mathematics University of Mosul, Iraq | ||
Abstract | ||
This paper deals with the well known Henon map. Its main properties are studied as well as a non deterministic form. Least squares estimates of parameters of the non deterministic model are driven and a case study from animal ecology is studied, where the population size of the Canadian lynx animal is considered as a time series. The embedding dimension of this time series is estimated and then a mathematical model of the form of suggested non deterministic (stochastic) model is fitted . The chaotic property of this series is studied throughout the fitted model. | ||
Keywords | ||
Time series; Henon map; Least squares; stochastic model; Chaotic; animal ecology | ||
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