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LIAO Baian, LUO Yuanyuan. Global Behavior of a Third Order Rational Difference Equation[J]. Journal of Xihua University(Natural Science Edition), 2016, 35(4): 35-38. DOI: 10.3969/j.issn.1673-159X.2016.04.007
Citation: LIAO Baian, LUO Yuanyuan. Global Behavior of a Third Order Rational Difference Equation[J]. Journal of Xihua University(Natural Science Edition), 2016, 35(4): 35-38. DOI: 10.3969/j.issn.1673-159X.2016.04.007
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Global Behavior of a Third Order Rational Difference Equation

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  • In this paper, we mainly studied forbidden sets and global behavior of a third order rational difference equation in the case of different parameters. We converted the equation into a Riccati equation, and proved that the solutions of the equation eventually converge to zero or non-zero fixed point or unbounded.
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