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Differential Equations

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Differential and Difference Equations through Computer Experiments

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Abstract

This chapter is a catalogue of the differential equations stored in the permanent library of PHASER. A similar collection of difference equations is presented in the next chapter. In addition, Appendix B contains a compressed list of all the equations, for quick reference. If you are not certain how to access a specific equation in the library, consult the Equation entry in section 6.1, as well as Lesson 8 of Chapter 5.

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References

  • Arnold [1983] p. 279; Guckenheimer & Holmes [1983] p. 145.

    Google Scholar 

References

  • Arnold [1973] p. 133; Braun [1983] p. 416; Boyce & DiPrima [1977] p. 397; Forsythe et al. [1977] p. 124; Hirsch & Smale [1974] p. 89.

    Google Scholar 

References

  • Arnold [1980] p. 90; Boyce & DiPrima [1977] p. 413; Hirsch & Smale [1974] p. 183.

    Google Scholar 

References

  • Boyce & DiPrima [1977] p. 448; Hale [1969] p. 60; Hirsch & Smale [1974] pp. 217, 278.

    Google Scholar 

References

  • Boyce & DiPrima [1973] p. 421; Hirsch & Smale [1974] p. 255; Maynard Smith [1968] p. 46.

    Google Scholar 

References

  • Carr [1980]; Chow & Hale [1982] pp. 16, 327, 364; Guckenheimer & Holmes [1983] pp. 124, 146.

    Google Scholar 

Reference

Reference

References

  • Braun [1983] p. 430; Chow & Hale [1982] pp. 9, 338; Guckenheimer & Holmes [1983] pp. 146, 150; Hassard et al. [1981]; Marsden & McCracken [1976].

    Google Scholar 

References

  • Arnold [1983] p. 280; Guckenheimer & Holmes [1983] p. 364.

    Google Scholar 

Reference

References

  • Carr [1981] p. 57; Guckenheimer & Holmes [1983] p. 371; Takens [1974].

    Google Scholar 

References

  • Bamon [1984]; Chicone & Tian [1982]; Yeh [1958], [1982], [1985].

    Google Scholar 

References

References

  • Guckenheimer & Holmes [1983] p. 70; Hale [1969] p. 186; Holmes & Rand [1978].

    Google Scholar 

References

  • Chow & Hale [1982] p. 450; Guckenheimer & Holmes [1983] p. 357; Hirsh & Smale [1974] p. 199.

    Google Scholar 

References

  • Guckenheimer & Holmes [1983] p. 92; Lorenz [1963]; Sparrow [1982].

    Google Scholar 

Reference

References

  • Section 1.4; Boyce & DiPrima [1977] p. 135; Braun [1983] p. 165; Guckenheimer & Holmes [1983] p. 27.

    Google Scholar 

References

References

Reference

References

  • Boyce & DiPrima [1977] pp. 101, 167; Simmons [1972] p. 219.

    Google Scholar 

References

References

  • Guckenheimer & Holmes [1983] pp. 29, 204; Hale [1969] p. 118.

    Google Scholar 

References

  • Arnold [1978] p. 117, [1980] p. 203; Guckenheimer & Holmes [1983] p. 29.

    Google Scholar 

References

  • Chow & Hale [1982] p. 301; Guckenheimer & Holmes [1983] p. 82; Hale [1969] p. 195.

    Google Scholar 

References

  • Abraham & Shaw [1984]; Lichtenberg & Lieberman [1983] p. 386; Rossler [1976].

    Google Scholar 

References

  • Chow & Hale [1982] p. 462; Hale [1969] p. 118; Guckenheimer & Holmes [1983] p. 376; Langford [1982], [1985].

    Google Scholar 

References

  • Arneodo et al. [1981], [1982]; Guckenheimer & Holmes [1983] p. 318; Silnikov [1965].

    Google Scholar 

References

  • Arneodo et al. [1981], [1982]; Guckenheimer & Holmes [1983] p. 318; Silnikov [1965].

    Google Scholar 

References

  • Lessons 13, 14; Arnold [1978] p. 24, [1980] p. 160; Kocak et al. [1985].

    Google Scholar 

References

  • Casasayas & Llibre [1984]; Devaney [1982]; Hirsch & Smale [1974] p. 14; Gutzwiller [1973]; Milnor [1983].

    Google Scholar 

References

References

  • Aizawa & Saito [1972]; Arnold [1978] p. 405; Bountis et al. [1982]; Churchill et al. [1979]; Henon & Heiles [1964]; Moser [1968].

    Google Scholar 

References

  • Guckenheimer & Holmes [1983] p. 59; Holmes & Rand [1980].

    Google Scholar 

References

  • Baxter et al. [1972]; Chenciner [1983]; Hale [1963] p. 165.

    Google Scholar 

Reference

References

  • Arnold [1983] p. 315; Chow & Hale [1982] p. 462; Guckenheimer & Holmes [1983] p. 413.

    Google Scholar 

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Authors and Affiliations

  1. Lefschetz Center for Dynamical Systems Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    Hüseyin Koçak

  2. Department of Mathematics and Computer Science, University of Miami, Coral Gables, FL, 33124, USA

    Hüseyin Koçak

Authors
  1. Hüseyin Koçak
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© 1989 Springer-Verlag New York Inc.

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Koçak, H. (1989). Differential Equations. In: Differential and Difference Equations through Computer Experiments. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3610-8_7

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  • DOI: https://doi.org/10.1007/978-1-4612-3610-8_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-96918-3

  • Online ISBN: 978-1-4612-3610-8

  • eBook Packages: Springer Book Archive

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