Fractalization route to strange nonchaotic dynamics

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 4 2, 2004, Pages

  Datta, Sandip ^a   Ramaswamy, Ramakrishna ^a   Prasad, Awadhesh ^b  

^a JAWAHARLAL NEHRU UNIVERSITY   (India)

^b UNIVERSITY OF DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); COMPUTATIONAL METHODS; FRACTALS; FUNCTIONS; LYAPUNOV METHODS; PERTURBATION TECHNIQUES; SENSITIVITY ANALYSIS;

FRACTALIZATION; QUASIPERIODICALLY FORCED SYSTEMS; RATIONAL APPROXIMATIONS (RA); STRANGE NANCHAOTIC ATTRACTORS (SNA);

CHAOS THEORY;

EID: 41349114632     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.046203     Document Type: Article

References (27)

1. J. P. Eckmann and D. Ruelle, Rev. Math. Phys. 57, 617 (1985).
2. C. Grebogi, E. Ott, S. Pelikan, and J. Yorke, Physica D 13, 261 (1984).
3. A. Prasad, S. S. Negi, and R. Ramaswamy, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 291 (2001).
4. K. Kaneko, Prog. Theor. Phys. 71, 1112 (1984).
5. T. Nishikawa and K. Kaneko, Phys. Rev. E 54, 6114 (1996).
6. J. F. Heagy and M. S. Hammel, Physica D 70, 140 (1994).
7. A. Prasad, V. Mehra, and R. Ramaswamy, Phys. Rev. Lett. 79, 4127 (1997).
8. U. Feudel, J. Kurths, and A. S. Pikovsky, Physica D 88, 176 (1995).
9. T. Yalcinkaya and Y. C. Lai, Phys. Rev. Lett. 77, 5039 (1996).
10. S.-Y. Kim, W. Lim, and E. Ott, Phys. Rev. E 67, 056203 (2003).
11. V. S. Anishchenko, T. E. Vadivasova, and O. Sosnovtseva, Phys. Rev. E 53, 4451 (1996).
12. G. Keller, Fundam. Math. 151, 139 (1996).
13. Z. I. Bezhaeva and V. I. Oseledets, Funct. Anal. Appl. 30, 223 (1996).
14. J. Ketoja and I. I. Satija, Physica D 109, 70 (1997).
15. A. Prasad, R. Ramaswamy, I. I. Satija, and N. Shah, Phys. Rev. Lett. 83, 4530 (1999).
16. J. Stark, Physica D 109, 163 (1997).
17. R. Sturman and J. Stark, Nonlinearity 13, 113 (2000).
18. A. S. Pikovsky and U. Feudel, Chaos 5, 253 (1995).
19. A. Prasad and R. Ramaswamy, in Nonlinear Dynamics: Integrability and Chaos, edited by M. Daniel, K. Tamizhmani, and R. Sahadevan (Narosa, New Delhi, 2000), pp. 227-34.
20. J. M. Greene, J. Math. Phys. 20, 1183 (1979).
21. A. Venkatesan, M. Lakshmanan, A. Prasad, and R. Ramaswamy, Phys. Rev. E 61, 3641 (2000).
22. A. Prasad, V. Mehra, and R. Ramaswamy, Phys. Rev. E 57, 1576 (1998).
23. J. Kim, S.-Y. Kim, B. Hunt, and E. Ott, Phys. Rev. E 67, 036211 (2003).
24. W. L. Ditto, M. L. Spano, H. T. Savage, S. N. Rauseo, J. Heagy, and E. Ott, Phys. Rev. Lett. 65, 533 (1990).
25. J. F. Heagy and W. L. Ditto, J. Nonlinear Sci. 1, 423 (1991).
26. S. P. Kuznetsov, Phys. Rev. E 65, 066209 (2002).
27. B. Hunt and E. Ott, Phys. Rev. Lett. 87, 254101 (2001).