Strange nonchaotic trajectories on torus

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 7, Issue 2, 1997, Pages 423-429

  Kapitaniak, T ^a   Chua, L O ^b  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031065005     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127497000297     Document Type: Article

References (24)

1. Anishchenko, V. S., Vadivasova, T. E. & Sosnovtseva, O. [1996a] "Mechanisms of ergodic torus destruction and appearance of strange nonchaotic attractors," Phys. Rev. E53, 3231-3234.
2. Anishchenko, V. S., Vadivasova, T. E. & Sosnovtseva, O. [1996b] "Strange nonchaotic attractors in autonomous and periodically driven systems," Phys. Rev. E54, 3231-3234.
3. Bondeson, A., Ott, E. & Antonsen, T. M. [1985] "Quasiperiodicity forced damped pendula and Schrodinger equations with quasiperiodic potentials: Implications of their equivalence," Phys. Rev. Lett. 55, 2103-2106.
4. Brindley, J. & Kapitaniak, T. [1991a] "Analytical predictors for strange nonchaotic attractors," Phys. Lett. A155, 361-364.
5. Brindley, J. & Kapitaniak, T. [1991b] "Existence and characterization of strange nonchaotic attractors in nonlinear systems," Chaos, Solitons and Fractals 1, 323-337.
6. Cruz, J. M. & Chua, L. O. [1992] "A CMOS IC nonlinear resistor for Chua's circuit," IEEE Trans. Circuits and Systems 39, 985-995.
7. Ding, M., Grebogi, C. & Ott, E. [1989a] "Evolution of attractors in quasiperiodically forced systems: From quasiperiodic to strange nonchaotic to chaotic," Phys. Rev. A39, 2593-2598.
8. Ding M., Grebogi, C. & Ott, E. [1989b] "Dimensions of strange nonchaotic attractors," Phys. Lett. A137, 167-172.
9. Feudel, U., Kurths, J. & Pikovsky, A. [1995] "Strange nonchaotic attractors in a quasi-periodically forced circle map," Physica D88, 176-186.
10. Grebogi, C., Ott, E. & Yorke, J. A. [1984] "Strange attractors that are not chaotic," Physica D13, 261-268.
11. Heagy, J. F. & Hammel, S. M. [1994] "The birth of strange nonchaotic attractors," Physica D70, 140-153.
12. Kapitaniak, T., Ponce, E. & Wojewoda, J. [1990] "Route to chaos via strange nonchaotic attractors," J. Phys. A23, L383-L387.
13. Kapitaniak, T. [1991] "On strange nonchaotic attractors and their dimensions," Chaos, Solitons and Fractals 1, 67-77.
14. Kapitaniak, T. [1993] "Generating strange nonchaotic trajectories," Phys. Rev. E47, 4408-4410.
15. Kapitaniak, T. [1995] "Distribution of transient Lyapunov exponents of quasiperiodically forced systems," Progr. Theoret. Phys. 93, 831-833.
16. Kennedy, M. P. [1992] "Robust op amp realization of Chua's circuit," Frequenz 46, 66-80.
17. Liu, Z. & Zhu, Z., [1996] "Strange nonchaotic attractors from quasiperiodically forced Ueda's circuit," Int. J Bifurcation and Chaos 6, 1383-1388.
18. Murali, K., Lakshmanan, M. & Chua, L. O. [1994] "Bifurcation and chaos in the simplest dissipative non-autonomous circuit," Int. J Bifurcation and Chaos 4, 1511-1524.
19. Pikovsky, A. S. & Feudel, U. [1995] "Characterizing strange nonchaotic attractors," Chaos 5, 253-255.
20. Reich, H. J. [1961] Functional Circuits and Oscillators (D. van Nostrad Co, Princeton, NJ), pp. 197.
21. Romeiras, F. J. & Ott, E. [1987] "Strange nonchaotic attractors of the damped pendulum with quasiperiodic forcing," Phys. Rev. A35, 4404-4413.
22. Romeiras, F. J., Bondeson, A., Ott, E., Antonsen, T. M. & Grebogi, C. [1987] "Quasiperiodically forced dynamical systems with strange nonchaotic attractors," Physica D26, 277-294.
23. Venkatesan, A. & Lakshmanan, M. [1997] "Nonlinear dynamics of damped and drived velocity-dependent systems," Phys. Rev. E, in press.
24. Zhu, Z. & Liu, Z. [1997] "Strange nonchaotic attractors of Chua's Circuit with quasiperiodic excitation," Int. J. Bifurcation and Chaos 7, 227-238.