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This book focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their periodic trichotomies. It provides thought-provoking open problems and conjectures on the boundedness character, global stability, and periodic behavior of solutions of rational difference equations. The book also presents known results and/or derives new results for 225 special cases of rational difference equations. Appendices supply tabulated information on these cases and on the boundedness character of 961 special cases of fourth order rational difference equations.