Parametric nonfeedback resonance in period doubling systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 2, 1999, Pages 1669-1674

  Pisarchik, A N ^a,b   Corbalan R ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b B I STEPANOV INSTITUTE OF PHYSICS   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001480878     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.1669     Document Type: Article

References (32)

1. B. B. Plapp and A. W. Hübler, Phys. Rev. Lett. 65, 2302 (1990).
2. R. Lima and M. Pettini, Phys. Rev. A 41, 726 (1990)
3. Y. Braiman and I. Goldhirsch, Phys. Rev. Lett. 66, 2545 (1991)
4. Phys. Rev. Lett.R. Chacón and J. Díaz Bejarano, 71, 3103 (1993).
5. E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990)
6. Phys. Rev. Lett.W. L. Ditto, S. N. Rauseo, and M. L. Spano, 65, 3211 (1990)
7. K. Pyragas, Phys. Lett. A 170, 421 (1992)
8. S. Bielawski, D. Derozier, and P. Glorieux, Phys. Rev. E 49, R971 (1994)
9. T. Shinbrot, C. Grebogi, E. Ott, and J. A. Yorke, Nature (London) 363, 411 (1993)
10. E. R. Hunt, Phys. Rev. Lett. 67, 1953 (1991)
11. Phys. Rev. Lett.J. Singer, Y-Z. Wang, and H. H. Bau, 66, 1123 (1991)
12. V. Petrov, V. Gaspar, J. Masere, and K. Schowalter, Nature (London) 361, 240 (1993)
13. R. Meucci, W. Gadomski, M. Ciofini, and F. T. Arecchi, Phys. Rev. E 49, R2528 (1994).
14. M. Ciofini, R. Meucci, and F. T. Arecchi, Phys. Rev. E 52, 94 (1995)
15. Z. Qu, G. Hu, G. Yang, and G. Qin, Phys. Rev. Lett. 74, 1736 (1995)
16. P. Colet and Y. Braiman, Phys. Rev. E 53, 200 (1996).
17. R. Vilaseca, A. Kul’minskii, and R. Corbalán, Phys. Rev. E 54, 82 (1996)
18. Phys. Rev. ER. Dykstra, A. Rayner, D. Y. Tang, and N. R. Heckenberg, 57, 397 (1998).
19. A. N. Pisarchik, V. N. Chizhevsky, R. Corbalán, and R. Vilaseca, Phys. Rev. E 55, 2455 (1997)
20. A. N. Pisarchik, Phys. Lett. A 242, 152 (1998).
21. A. N. Pisarchik, B. F. Kuntsevich, and R. Corbalán, Phys. Rev. E 57, 4046 (1998).
22. H. G. Schuster, E. Niebur, E. R. Hunt, G. A. Johnson, and M. Löcher, Phys. Rev. Lett. 76, 400 (1996).
23. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981)
24. K. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995)
25. A. R. Bulsara and L. Gammatoni, Phys. Today 49(3), 39 (1996).
26. P. Collet and J.-P. Eckmann, Iterated Maps on the Interval as Dynamical Systems (Birkhauser, Boston, 1980).
27. See, for example, H. G. Schuster, Deterministic Chaos: An Introduction (VCH, Weinheim, 1989).
28. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Physica D 16, 285 (1995).
29. F. T. Arecchi, R. Meucci, G. Puccioni, and J. Tredicce, Phys. Rev. Lett. 49, 1217 (1982)
30. J. R. Tredicce, F. T. Arecchi, G. P. Puccioni, A. Poggi, and W. Gadomski, Phys. Rev. A 34, 2073 (1986).
31. V. N. Chizhevsky, R. Corbalán, and A. N. Pisarchik, Phys. Rev. E 56, 1580 (1997).
32. M. Ciofini, A. Politi, and R. Meucci, Phys. Rev. A 48, 605 (1995).