Far East Journal of Dynamical Systems
Volume 32, Issue 1, Pages 21 - 49
(June 2020) http://dx.doi.org/10.17654/DS032010021 |
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ASYMPTOTIC DYNAMICS OF A CLASS OF THIRD ORDER RATIONAL DIFFERENCE EQUATIONS
Sk. Sarif Hassan, Soma Mondal, Swagata Mandal and Chumki Sau
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Abstract: The asymptotic dynamics of the classes of rational difference equations (RDEs) of third order defined over the positive real-line as
![](/admin/tinymce_uploads/11020001.gif)
![](/admin/tinymce_uploads/11020002.gif)
and
![](/admin/tinymce_uploads/11020003.gif)
![](/admin/tinymce_uploads/11020004.gif)
is investigated computationally with theoretical discussions and examples. It is noted that all the parameters a, b, c and the initial values and are all positive real numbers such that the denominator is always positive. Several periodic solutions with high periods of the RDEs as well as their inter-intra dynamical behaviours are studied. |
Keywords and phrases: rational difference equations, local asymptotic stability, periodic, quasi-periodic, fractal-like-trajectory.
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