Bubbling and on-off intermittency in bailout embeddings

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

Volumn 68, Issue 1 2, 2003, Pages 162171-162177

  Cartwright, Julyan H E ^a   Magnasco, Marcelo O ^b   Piro, Oreste ^c   Tuval, Idan ^c  

^a LABORATORIO DE ESTUDIOS CRISTALOGRÁFICOS   (Spain)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^c INSTITUTO MEDITERRÁNEO DE ESTUDIOS AVANZADOS   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); HAMILTONIANS; TRAJECTORIES;

BAILOUT EMBEDDINGS;

DYNAMICS;

EID: 18844480813     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. J.E. Ott, Phys. Lett. A 188, 39 (1994).
2. P. Ashwin, J. Buescu, and I. Stewart, Phys. Lett. A 193, 126 (1994).
3. J.C. Alexander, J.A. Yorke, Z. You, and I. Kan, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 795 (1992).
4. J.F. Heagy, N. Platt, and S. Hammel, Phys. Rev. E 49, 1140 (1994).
5. N. Platt, E.A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993).
6. S.C. Venkataramani, B.R. Hunt, and E. Ott, Phys. Rev. E 54, 1346 (1996).
7. M.R. Maxey and J.J. Riley, Phys. Fluids 26, 883 (1983).
8. A. Babiano, J.H.E. Cartwright, O. Piro, and A. Provenzale, Phys. Rev. Lett. 84, 5764 (2000).
9. J.H.E. Cartwright, M.O. Magnasco, and O. Piro, Phys. Rev. E 65, 045203(R) (2002).
10. The advection of passive and active tracers in Eulerian flows has been intensively studied over the past decade. Key references to this research are: J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport (Cambridge University Press, Cambridge, 1989); H. Aref, J. Fluid Mech. 143, 1 (1984); T. Tel et al., Phys. Rev. Lett. 80, 500 (1998).
11. The advection of passive and active tracers in Eulerian flows has been intensively studied over the past decade. Key references to this research are: J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport (Cambridge University Press, Cambridge, 1989); H. Aref, J. Fluid Mech. 143, 1 (1984); T. Tel et al., Phys. Rev. Lett. 80, 500 (1998).
12. The advection of passive and active tracers in Eulerian flows has been intensively studied over the past decade. Key references to this research are: J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport (Cambridge University Press, Cambridge, 1989); H. Aref, J. Fluid Mech. 143, 1 (1984); T. Tel et al., Phys. Rev. Lett. 80, 500 (1998).
13. J.H.E. Cartwright, M.O. Magnasco, O. Piro, and I. Tuval, Phys. Rev. Lett. 89, 264501 (2002).
14. Regular and Stochastic Motion, edited by A.J. Lichtenberg and M.A. Lieberman (Springer-Verlag, Berlin, 1983).
15. J. Buescu, Exotic Attractors (Birkhauser, Boston, 1997).
16. Astakhov, A. Shabunin, W. Uhm, and S. Kim, Phys. Rev. E 63, 056212 (2001).
17. N. Platt, S.M. Hammel, and J.F. Heagy, Phys. Rev. Lett. 72, 3498 (1994).
18. J.H.E. Cartwright, M.O. Magnasco, and O. Piro, Chaos 12, 489 (2002).
19. J.H.E. Cartwright, M.O. Magnasco, O. Piro, and I. Tuval, Fluct. Noise Lett. 2, 263 (2002).
20. M. Büttiker, Z. Phys. B: Condens. Matter 68, 161 (1987).
21. R. Landauer, J. Stat. Phys. 53, 233 (1988).
22. P. Ashwin, J.R. Terry, K.S. Thomburg, and R. Roy, Phys. Rev. E 58, 7186 (1998).
23. E.S.C. Venkataramani, T.M. Antonsen, and J.C. Sommerer, Phys. Lett. A 207, 173 (1995).
24. A.A. Cenys, A. Namaunas, and T. Schneider, Phys. Lett. A 213, 259 (1996).