Abstract
Difference equations usually describe the evolution of certain phenomena over the course of time. For example, if a certain population has discrete generations, the size of the n + 1st generation x(n + 1) is a function of the nth generation x(n).
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References
E. C. Pielou, An Introduction to Mathematical Ecology, Wiley Interscience, New York, 1969.
M. Feigenbaum, “Quantitative Universality for a Class of Nonlinear Transformations,” J. Stat. Phys. 19 (1978), 25–52.
T.Y. Li and J.A. Yorke, “Period Three Implies Chaos,” Am. Math. Monthly 82 (1975), 985–992.
Bibliography
R. Devaney, A First Course in Chaotic Dynamical Systems: Theory and Experiments, Addison-Wesley, Reading, 1992.
D. Gulick, Encounters with Chaos, McGraw-Hill, New York, 1992.
R. Mickens, Difference Equations, Van Nostrand Reinhold, New York, 1990.
J.T. Sandefur, Discrete Dynamical Systems, Clarendon, Oxford, 1990.
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© 1996 Springer Science+Business Media New York
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Elaydi, S.N. (1996). Dynamics of First Order Difference Equations. In: An Introduction to Difference Equations. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-9168-6_1
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DOI: https://doi.org/10.1007/978-1-4757-9168-6_1
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