Chaos, cantor sets, and hyperbolicity for the logistic maps

American Mathematical Monthly

Volumn 106, Issue 5, 1999, Pages 400-408

  Kraft, Roger L ^a  

^a PURDUE UNIVERSITY CALUMET   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033421670     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2589144     Document Type: Article

References (6)

1. R. Devaney, An introduction to chaotic dynamical systems, 2nd ed., Addison-Wesley, Redwood City, CA, 1989.
2. J. Guckenheimer and P. Holmes, Nonlinear oscillations, dynamical systems, and bifurcations of vector fields, Applied Mathematical Sciences, 42, Springer-Verlag, New York-Berlin, 1983.
3. D. Gulick, Encounters with chaos, McGraw-Hill, New York, 1992.
4. R. Holmgren, A First Course in Discrete Dynamical Systems, 2nd ed., Springer-Verlag, New York, 1996.
5. W. de Melo and S. van Strien, One-dimensional dynamics, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), Springer-Verlag, Berlin, 1993.
6. C. Robinson, Stability, symbolic dynamics, and chaos, Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1995.