On the Global Character of the System of Piecewise Linear Difference Equations [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext]

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作者
Wirot Tikjha
Yongwimon Lenbury
EvelinaGiusti Lapierre
机构
[1] Mahidol University,Department of Mathematics, Faculty of Science
[2] PERDO Commission on Higher Education,Center of Excellence in Mathematics
[3] Johnson and Wales University,John Hazen White School of Arts and Sciences, Department of Mathematics
关键词
Differential Equation; Direct Consequence; Partial Differential Equation; Ordinary Differential Equation; Functional Analysis;
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摘要
We consider the system in the title where the initial condition [inline-graphic not available: see fulltext] We show that the system has exactly two prime period-5 solutions and a unique equilibrium point [inline-graphic not available: see fulltext]. We also show that every solution of the system is eventually one of the two prime period-5 solutions or else the unique equilibrium point.
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