Effects of small time delay on a bistable system subject to Lévy stable noise

Journal of Physics A: Mathematical and Theoretical

Volumn 44, Issue 38, 2011, Pages

  Huang, Jiamin ^a   Tao, Weiming ^a   Xu, Bohou ^a,b  

^a ZHEJIANG UNIVERSITY   (China)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80052586086     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/44/38/385101     Document Type: Article

References (35)

1. Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A: Math. Gen. 14 L4537
2. McNamara B, Wiesenfeld K and Roy R 1988 Phys. Rev. Lett. 60 26269
3. Fauve S and Heslot F 1983 Phys. Lett. A 97 57
4. Anishchenko V S, Safonova M A and Chua L O 1993 J. Circuits Syst. Comput. 3 55378
5. Douglass JK, Wilkens L, Pantazelou E and Moss F 1993 Nature 365 33740
6. Gammaitoni L, Hnggi P, Jung P and Marchesoni F 1998 Rev. Mod. Phys. 70 22387
7. Zozor S and Amblard P O 2002 Signal Process. 82 35367
8. Galdi V, Pierro V and Pinto I M 1998 Phys. Rev. E 57 64709
9. Li J and Pan X 2007 Mech. Syst. Signal Process. 21 122332
10. Xu B, Duan F, Bao R and Li J 2002 Chaos, Solitons Fractals 13 63344
11. Wiener J and Hale J K 1992 Ordinary and Delay Differential Equations (New York: Wiley)
12. Tsimring L S and Pikovsky A 2001 Phys. Rev. Lett. 87 250602
13. Guillouzic S, LHeureux I and Longtin A 1999 Phys. Rev. E 59 397082
14. Shao R H and Chen Y 2009 Physica A 388 97783
15. Li J and Zeng L 2010 J. Phys. A: Math. Theor. 43 495002
16. Stuck B W 1978 IEEE Trans. Autom. Control 23 5079
17. Tsihrintzis G and Nikias C 1997 IEEE Trans. Signal Process. 45 18738
18. Szajnowski W and Wynne J 2001 IEEE Signal Process. Lett. 8 1512
19. Chechkin A V, Klafter J, Gonchar V Y, Metzler R and Tanatarov L V 2003 Phys. Rev. E 67 010102
20. Chechkin A V, Gonchar V Y, Klafter J and Metzler R 2005 Europhys. Lett. 72 34852
21. Imkeller P and Pavlyukevich I 2006 J. Phys. A: Math. Gen. 39 L23746
22. Chechkin A V, Gonchar V Y, Klafter J, Metzler R and Tanatarov L V 2004 J. Stat. Phys. 115 150535
23. Dubkov A and Spagnolo B 2007 Acta Phys. Pol. B 38 174558 (available at http://www.actaphys.uj.edu.pl/vol38/pdf/v38p1745.pdfhttp://www.actaphys.uj.edu. pl/vol38/pdf/v38p1745.pdf)
24. La Cognata A, Valenti D, Dubkov A A and Spagnolo B 2010 Phys. Rev. E 82 011121
25. Pavlyukevich I, Dybiec B, Chechkin A and Sokolov I 2010 Eur. Phys. J. 191 22337
26. Jespersen S, Metzler R and Fogedby H C 1999 Phys. Rev. E 59 273645
27. Chechkin A, Gonchar V, Klafter J, Metzler R and Tanatarov L 2002 Chem. Phys. 284 23351
28. Paola M D and Failla G 2005 Probabilistic Eng. Mech. 20 12835
29. Gorenflo R, Mainardi F, Moretti D and Paradisi P 2002 Nonlinear Dyn. 29 12943
30. Chechkin A V, Gonchar V Y, Klafter J and Metzler R 2006 Fundamentals of Ĺvy Flight Processes (New York: Wiley) pp 43996
31. Zeng L, Bao R and Xu B 2007 J. Phys. A: Math. Theor. 40 717585
32. Xu B, Li J and Zheng J 2003 J. Phys. A: Math. Gen. 36 1196980
33. Collins J J, Chow C C, Capela A C and Imhoff T T 1996 Phys. Rev. E 54 557584
34. McCulloch J H 1998 Numerical Approximation of the Symmetric Stable Distribution and Density (Cambridge, MA: Birkhuser Boston)
35. Dybiec B, Gudowska-Nowak E and Sokolov I M 2007 Phys. Rev. E 76 041122