Transport control in a deterministic ratchet system

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

Volumn 77, Issue 6, 2008, Pages

  Son, Woo Sik ^a   Ryu, Jung Wan ^b   Hwang, Dong Uk ^c   Lee, Soo Young ^d   Park, Young Jai ^a   Kim, Chil Min ^a  

^a Sogang University   (South Korea)

^b Pusan National University   (South Korea)

^c J Crayton Pruitt Family Department of Biomedical Engineering   (United States)

^d Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTATIONAL GEOMETRY; ERROR ANALYSIS; ORBITS; SEPARATION; TRANSPORT PROPERTIES;

(PL) PROPERTIES; AMERICAN PHYSICAL SOCIETY (APS); CHAOTIC ATTRACTORS; DELAY FEEDBACK; INITIAL CONDITIONS; PROPERTY (S); TRANSPORT CONTROL; UNPERTURBED SYSTEMS; UNSTABLE PERIODIC ORBIT (UPO);

CHAOTIC SYSTEMS;

EID: 45849144757     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.066213     Document Type: Article

References (69)

1. P. Reimann, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(01)00081-3 361, 57 (2002).
2. R. D. Astumian and P. Hänggi, Phys. Today 55, 33 (2002) 0031-9228
3. P. Hänggi, F. Marchesoni, and F. Nori, Ann. Phys. ANPYA2 0003-3804 10.1002/andp.200410121 14, 51 (2005).
4. R. D. Astumian and M. Bier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1766 72, 1766 (1994)
5. R. D. Astumian and M. Bier, Biophys. J. 70, 637 (1996) 0006-3495
6. M. Porto, M. Urbakh, and J. Klafter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.491 85, 491 (2000)
7. J. V. Hernández, E. R. Kay, and D. A. Leigh, Science SCIEAS 0036-8075 10.1126/science.1103949 306, 1532 (2004).
8. S. Flach, O. Yevtushenko, and Y. Zolotaryuk, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2358 84, 2358 (2000).
9. P. Jung, J. G. Kissner, and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.3436 76, 3436 (1996).
10. H. Schanz, M.-F. Otto, R. Ketzmerick, and T. Dittrich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.070601 87, 070601 (2001)
11. S. Denisov, S. Flach, A. A. Ovchinnikov, O. Yevtushenko, and Y. Zolotaryuk, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.041104 66, 041104 (2002)
12. N. A. C. Hutchings, M. R. Isherwood, T. Jonckheere, and T. S. Monteiro, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.036205 70, 036205 (2004)
13. H. Schanz, T. Dittrich, and R. Ketzmerick, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.026228 71, 026228 (2005).
14. L. Machura, M. Kostur, P. Talkner, J. Łuczka, F. Marchesoni, and P. Hänggi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.061105 70, 061105 (2004)
15. H. Chen, Q. Wang, and Z. Zheng, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.031102 71, 031102 (2005)
16. L. Machura, M. Kostur, F. Marchesoni, P. Talkner, P. Hänggi, and J.Łuczka, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/ 17/47/007 17, S3741 (2005)
17. M. Kostur, L. Machura, and P. Hänggi, J. Łuczka, and P. Talkner, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.04.086 371, 20 (2006)
18. D. Speer, R. Eichhorn, and P. Reimann, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.051110 76, 051110 (2007).
19. I. Zapata, R. Bartussek, F. Sols, and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2292 77, 2292 (1996)
20. C. C. de Souza Silva, J. V. de Vondel, M. Morelle, and V. V. Moshchalkov, Nature (London) NATUAS 0028-0836 10.1038/nature04595 440, 651 (2006).
21. P. Reimann, M. Grifoni, and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.10 79, 10 (1997)
22. M. Grifoni, M. S. Ferreira, J. Peguiron, and J. B. Majer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.146801 89, 146801 (2002).
23. K. H. Lee, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1591244 83, 117 (2003)
24. D. E. Shalóm and H. Pastoriza, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.177001 94, 177001 (2005)
25. M. Beck, E. Goldobin, M. Neuhaus, M. Siegel, R. Kleiner, and D. Koelle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.090603 95, 090603 (2005)
26. K. H. Lee, J. Korean Phys. Soc. KPSJAS 0374-4884 47, 288 (2005).
27. J. Rousselet, L. Salome, A. Ajdari, and J. Prost, Nature (London) NATUAS 0028-0836 10.1038/370446a0 370, 446 (1994).
28. M. N. Popescu, C. M. Arizmendi, A. L. Salas-Brito, and F. Family, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3321 85, 3321 (2000)
29. C. M. Arizmendi, F. Family, and A. L. Salas-Brito, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.061104 63, 061104 (2001)
30. M. N. Popescu, C. M. Arizmendi, A. L. Salas-Brito, and F. Family, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.049903 88, 049903 (E) (2002)
31. L. Gao, X. Luo, S. Zhu, and B. Hu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.062104 67, 062104 (2003).
32. R. Bartussek, P. Reimann, and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1166 76, 1166 (1996)
33. T. E. Dialynas, K. Lindenberg, and G. P. Tsironis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.3976 56, 3976 (1997).
34. M. O. Magnasco, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 1477 71, 1477 (1993)
35. I. Derényi and T. Vicsek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.374 75, 374 (1995).
36. M. Barbi and M. Salerno, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.066212 63, 066212 (2001).
37. S. Savel'ev, F. Marchesoni, P. Hänggi, and F. Nori, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066109 70, 066109 (2004).
38. D. Goldobin, M. Rosenblum, and A. Pikovsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.061119 67, 061119 (2003)
39. J.-W. Ryu, W.-H. Kye, S.-Y. Lee, M.-W. Kim, M. Choi, S. Rim, Y.-J. Park, and C.-M. Kim, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.036220 70, 036220 (2004).
40. F. J. Cao, L. Dinis, and J. M. R. Parrondo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.040603 93, 040603 (2004)
41. M. Feito and F. J. Cao, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.061113 76, 061113 (2007)
42. D. Wu, S. Zhu, and X. Luo, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2007.10.065 372, 2002 (2008).
43. M. Kostur, P. Hänggi, P. Talkner, and J. L. Mateos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.036210 72, 036210 (2005).
44. W.-S. Son, Y.-J. Park, J.-W. Ryu, D.-U. Hwang, and C.-M. Kim, J. Korean Phys. Soc. KPSJAS 0374-4884 50, 243 (2007).
45. E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.1196 64, 1196 (1990).
46. T. Shinbrot, C. Grebogy, E. Ott, and J. A. Yorke, Nature (London) NATUAS 0028-0836 10.1038/363411a0 363, 411 (1993)
47. Handbook of Chaos Control, edited by, H. G. Schuster, (Wiley-VCH, Weiheim, 1999)
48. S. Boccaletti, C. Grebogi, Y.-C. Lai, H. Mancini, and D. Maza, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00096-4 329, 103 (2000).
49. K. Pyragas, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(92)90745-8 170, 421 (1992).
50. T. Ushio, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. ITCAEX 1057-7122 10.1109/81.536757 43, 815 (1996)
51. W. Just, T. Bernard, M. Ostheimer, E. Reibold, and H. Benner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.203 78, 203 (1997)
52. H. Nakajima, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(97)00362-9 232, 207 (1997)
53. H. Nakajima and Y. Ueda, Physica D PDNPDT 0167-2789 10.1016/S0167- 2789(97)80009-7 111, 143 (1998).
54. J. E. S. Socolar, D. W. Sukow, and D. J. Gauthier, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.3245 50, 3245 (1994).
55. A. Kittel, J. Parisi, and K. Pyragas, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(95)00094-J 198, 433 (1995)
56. H. G. Schuster and M. P. Stemmler, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.6410 56, 6410 (1997)
57. K. Pyragas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2265 86, 2265 (2001).
58. M. E. Bleich and J. E. S. Socolar, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(95)00827-6 210, 87 (1996)
59. W. Just, E. Reibold, H. Benner, K. Kacperski, P. Fronczak, and J. A. Hołyst, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00113-9 254, 158 (1999)
60. W. Just, E. Reibold, K. Kacperski, P. Fronczak, J. A. Hołyst, and H. Benner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.5045 61, 5045 (2000)
61. K. Pyragas, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.026207 66, 026207 (2002)
62. W. Just, H. Benner, and C. von Loewenich, Physica D PDNPDT 0167-2789 10.1016/j.physd.2004.08.002 199, 33 (2004).
63. J. L. Mateos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84. 258 84, 258 (2000).
64. M. Barbi and M. Salerno, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.1988 62, 1988 (2000).
65. W.-S. Son, I. Kim, Y.-J. Park, and C.-M. Kim, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.067201 68, 067201 (2003).
66. A. Kenfack, S. M. Sweetnam, and A. K. Pattanayak, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.056215 75, 056215 (2007)
67. F. R. Alatriste and J. L. Mateos, Physica A PHYADX 0378-4371 10.1016/j.physa.2007.05.063 384, 223 (2007).
68. J. K. Hale and S. M. Verduyn Lunle, Introduction to Functional Differential Equations (Springer, New York, 1993).
69. K. Pyragas, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(95)00654-L 206, 323 (1995).