From almost periodic to chaotic: The fundamental map

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 6, Issue 6, 1996, Pages 1111-1125

  Brown, Ray ^a   Chua, Leon O ^b  

^a Applied Chaos Technology Corporation   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040794019     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127496000606     Document Type: Article

References (11)

1. Arnold, V. & Avez, A. [1989] Ergodic Problems of Classical Mechanics (Addison-Wesley, New York).
2. Beardon, A. [1991] Iteration of Rational Functions (Springer-Verlag, New York).
3. Brown, R. & Chua, L. [1993] "Dynamical synthesis of Poincaré maps," Int. J. of Bifurcation and Chaos 3(5), 1235-1267.
4. Brown, R. & Chua, L. [1996] "Clarifying chaos: Examples and counterexamples," Int. J. of Bifurcation and Chaos 6(2), 219-249.
5. Cornfeld, I., Fomin, S. & Sinai, Y. [1982] Ergodic Theory (Springer-Verlag, Berlin).
6. Katznelson, Y. [1976] An Introduction to Harmonic Analysis (Dover Publications, New York).
7. Lake, D. E. [1996], "Detecting regularity in minefields and chaotic signals using the empty box test," Proceedings of the 8th IEEE Signal Processing Workshop on Statistical Signal and Array Processing Corfu, Greece, June 24-26, 1996 (to appear).
8. Shil'nikov, L. [1994] "Chua's circuit: Rigorous results and future problems," Int. J. of Bifurcation and Chaos 4(3), 489-519.
9. Walters, P. [1982] Introduction to Ergodic Theory (Springer-Verlag, New York).
10. Wiggins, S. [1990] Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer-Verlag, New York).
11. Wiggins, S. [1992] Chaotic Transport in Dynamical Systems (Springer-Verlag, New York).