Abstract
This chapter is a catalogue of the difference equations stored in the library of PHASER. As it is similar to the catalogue of differential equations given in Chapter 7, you should now read the introduction to that chapter, if you have not already done so. Bear in mind, however, that in the formulas of difference equations x ′ i denotes the next iterate of x i , not its derivative.
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References
Section 3.1, Lesson 11; Devaney [1985] p. 31; Guckenheimer & Holmes [1983] p. 307; Lanford [1980], [1982]; May [1976]; Maynard Smith [1968] p. 25; Whitley [1983].
References
Section 3.1; Guckenheimer & Holmes [1983] p. 19.
References
Arnold [1983] p. 286; Devaney [1985] p. 79; Guckenheimer & Holmes [1983] p. 156; Rogers & Whitley [1983].
References
Section 3.2; Braun [1983] p. 87; Conte & deBoor [1980] p. 79; Saari & Urenko [1984].
References
Devaney [1985] p. 52; Guckenheimer & Holmes [1983] p. 271; May [1976]; Ulam & von Neumann [1947].
References
Guckenheimer & Holmes [1983] p. 306; Singer [1978].
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Knuth [1980] p. 9.
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Arnold [1965], [1983] p. 108; Devaney [1985] p. 108; Guckenheimer & Holmes [1983] pp. 303, 350; Herman [1979]; Rand [1983].
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Devaney [1985] p. 170; Guckenheimer & Holmes [1983] p. 19.
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Borwein & Borwein [1984].
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Newhouse [1980]; Whitley [1982].
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Guckenheimer & Holmes [1983] pp. 160, 165; Whitley [1982].
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Curry [1979]; Devaney [1985] p. 248; Devaney & Nitecki [1979]; Henon [1976]; Guckenheimer & Holmes [1983] p. 245; Whitley [1983].
References
Devaney [1985] p. 211; Guckenheimer & Holmes [1983] p. 267; Lozi [1978]; Misiurewicz [1980].
References
Aronson et al. [1982]; Guckenheimer & Holmes [1983] p. 163; Maynard Smith [1968] p. 23; Pounder & Rogers [1980].
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Maynard Smith [1968] p. 27.
Reference
Guckenheimer & Holmes [1983] p. 102.
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Arnold [1983] p. 122; Arnold & Avez [1968] p. 5; Devaney [1985] p. 189; Guckenheimer & Holmes [1983] p. 20.
References
Henon [1969], [1983]; Moser [1968].
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Henon [1969], [1983]; Moser [1968].
Reference
Devaney [1984].
Reference
Devaney [1985] p. 170.
References
Arneodo et al. [1981], [1982]; Du [1985].
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© 1989 Springer-Verlag New York Inc.
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Koçak, H. (1989). Difference Equations. In: Differential and Difference Equations through Computer Experiments. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3610-8_8
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DOI: https://doi.org/10.1007/978-1-4612-3610-8_8
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