Application of chaos degree to some dynamical systems

Chaos, solitons and fractals

Volumn 11, Issue 9, 2000, Pages 1377-1385

  Inoue, Kei ^a   Ohya, Masanori ^a   Sato, Keiko ^b  

^a TOKYO UNIVERSITY OF SCIENCE   (Japan)

^b NUMAZU COLLEGE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV METHODS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS;

BAKER'S TRANSFORMATION; BERNOULLI SHIFT; CHAOS DEGREE; TINKERBEL MAP;

CHAOS THEORY;

EID: 0034217124     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(99)00050-8     Document Type: Article

References (13)

1. Akashi S. The asymptotic behavior of. ε -entropy of a compact positive operator J Math Anal Appl. 153:1990;250.
2. Alligood KT, Sauer TD, Yorke JA. Chaos - an introduction to dynamical systems. Textbooks in mathematical sciences. Berlin: Springer, 1996.
3. Alicki R. Quantum geometry of noncommutative Bernoulli shifts. Banach center publications. Mathematics Subject Classification 46L87, 1991.
4. Bennatti F. Deterministic chaos in infinite quantum systems. Berlin: Springer, 1993.
5. Devaney RL. An introduction to chaotic dynamical systems, New York: Benjamin, 1986.
6. Hasegawa H. Dynamical formulation of quantum level statistics. Open Systems and Information Dynamics. 4:1997;350.
7. Ingarden RS, Kossakowski A, Ohya M. Information dynamics and open systems. Dordrecht: Kluwer Academic Publishers, 1997.
8. Kosaka M, Ohya M. A study of chaotic phenomena by information dynamics IEICE 1997; J80-A (12):2138 [in Japanese].
9. Misiurewicz M. Absolutely continuous measutres for certain maps of interval. Publ Math IHES. 53:1981;17.
10. Ohya M. Information dynamics and its applications to optical communication processes. Lecture Notes in Physics. 378:1991;81.
11. Ohya M. Complexity and fractal dimensions for quantum states. Open Systems and Information Dynamics. 4:1997;141.
12. Ohya M. Complexities and their applications to characterization of chaos. Int J Theoret Phys 1998; 37(1): 495.
13. Toda M. Crisis in chaotic scattering of a highly excited van der Waals complex. Phys Rev Lett. 74(14):1995;2970.