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.
Highlights
Introduction to DynamicalSystems” .Verlag, New York,Inc.[2]- Cambell, M.J. and Walker, A.M. (1977) “A servey of Statistical Work on the Mackenzie River Series of annual Canadian lynx trappings for the years 1821-1934 and a new analysis”.J
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
حساسية ال موذج للنليم ات تسا يلة ،تلم تول لس 5ملسا ات شنليم ا تسا يلة ماتلللة مل ال لزء المحلس مل ال ملوذج الم لم .و ل ه الملسا ات مق لة فلح الشللل ،)9وكملا لو واضلح م ا الشلل فن جميا ه المسا ات تؤول فح ال هاعة إلط ال ديلة
Summary
Introduction to DynamicalSystems” .Verlag, New York,Inc.[2]- Cambell , M.J. and Walker , A.M. (1977) “A servey of Statistical Work on the Mackenzie River Series of annual Canadian lynx trappings for the years 1821-1934 and a new analysis (with discussion)”.J. الشلل )1السلوك الزم ح فح البعس الس ح لتيق م و . واملا الشللل ) 2ف قل سلم جلاذ تيق لم لو ع لس يمتل ماتلا ت مل bو الخاصية الخامسة :إذا كان d 0فأ تيق م و علو قا ل نعلاا
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