The dynamics of a piecewise linear map and its smooth approximation

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 7, Issue 2, 1997, Pages 351-372

  Aharonov, D ^a   Devaney, R L ^b   Elias, U ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031064183     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127497000236     Document Type: Article

References (10)

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3. Devaney, R. L. [1984] "A piecewise linear model for the zones of instability of an area-preserving map," Physica 10D, 387-393.
4. Devaney, R. L. [1986] An Introduction to Chaotic Dynamical Systems (Benjamin/Cummings Co. Inc., Menlo Park).
5. Hirsch, M., Pugh, C. & Shub, M. [1977] Invariant Manifolds, Lecture Notes in Mathematics, Vol. 583 (Springer-Verlag, Berlin).
6. McMillan, E. M. [1969] "A problem in the stability of periodic systems," Topics in Modern Physics, 219-244.
7. Siegel, C. & Moser, J. [1971] Lectures on Celestial Mechanics (Springer-Verlag, Berlin).
8. Wojtkowski, M. [1980] "Linked twist mappings have the K-property," Annals of the New York Academy of Sciences, Vol. 357, Nonlinear Dynamics, 65-76.
9. Wojtkowski, M. [1981] "A model problem with the coexistence of stochastic and integrable behavior," Commun. Math. Phys. 80, 453-464.
10. Wolfram, S. [1991] Mathematica - A System for Doing Mathematics by Computer (Addison-Wesley, Redwood City).