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- W1964343673 abstract "The second order rational difference equation is associated with a linear third order difference equation in the same way that the first order Riccati equation (c = 0) is associated with a linear second order equation. This association and other features are used to study the global behaviour of solutions. If and then the above equation has a unique positive fixed point that is stable and attracts all orbits with initial points outside a set M of Lebesgue measure zero in the plane. However, within M there is an invariant subset containing periodic orbits of all possible periods." @default.
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- W1964343673 date "2011-03-28" @default.
- W1964343673 modified "2023-10-16" @default.
- W1964343673 title "Global behaviour of the Riccati difference equation of order two" @default.
- W1964343673 cites W1608917902 @default.
- W1964343673 doi "https://doi.org/10.1080/10236190903049017" @default.
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