Dynamical properties of subdiffusion in the bistable system with aperiodic inputs

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 361, Issue 6, 2007, Pages 455-459

  Zeng, Lingzao ^a   Xu, Bohou ^a   Li, Jianlong ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

Aperiodic stochastic resonance; Bistable system; Fractional Fokker Planck equation; Subdiffusion

Indexed keywords

ERROR DETECTION; MAGNETIC RESONANCE; PROBABILITY; STOCHASTIC SYSTEMS;

BISTABLE SYSTEM; DYNAMICAL PROPERTIES; FRACTIONAL FOKKER-PLANCK EQUATION; PROBABILITY OF DETECTION; STOCHASTIC RESONANCES; SUBDIFFUSION; SYSTEM RESPONSE SPEED; VARIATIONAL METHODS;

FOKKER PLANCK EQUATION;

EID: 33845893870     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2006.09.073     Document Type: Article

References (28)

1. Tsallis C., Mendes R., and Plastino A. Physica A 261 (1998) 534
2. Sahimi M. Phys. Rep. 306 (1998) 213
3. Metzler R., and Klafter J. Phys. Rep. 339 (2000) 1
4. In: Hilfer R. (Ed). Applications of Fractional Calculus in Physics (2000), World Scientific, Singapore
5. Gorenflo R., Mainardi F., Moretti D., and Paradisi P. Nonlinear Dynam. 29 (2002) 129
6. Metzler R., and Klafter J. J. Phys. A 37 (2004) 161
7. Coffey W., Kalmykov Y., and Waldron J. The Langevin Equation. second ed. (2004), World Scientific, Singapore
8. Feller W. An Introduction to Probability Theory and its Applications, vols. 1, 2 (1966), Wiley, New York
9. Risken H. The Fokker-Planck Equation: Methods of Solution and Applications (1984), Springer, New York
10. Barkai E., Metzler R., and Klafter J. Phys. Rev. E 61 (2000) 132
11. Gorenflo R., Mainardi F., Moretti D., Pagnini G., and Paradisi P. Physica A 305 (2002) 106
12. Metzler R., Barkai E., and Klafter J. Phys. Rev. Lett. 82 (1999) 3563
13. Benzi R., Sutera A., and Vulpiani A. J. Phys. A 14 (1981) 453
14. Gammaitoni L., Hanggi P., Jung P., and Marchesoni F. Rev. Mod. Phys. 70 (1998) 223
15. Gammaitoni L., Locher M., Bulsare A., Hanggi P., Neff J., Wiesenfeld K., Ditto W., and Inchiosa M. Phys. Rev. Lett. 82 (1999) 4574
16. Collins J.J., Chow C.C., and Imhoff T.T. Phys. Rev. E 52 (1995) 3321
17. Collins J.J., Chow C.C., Capela A.C., and Imhoff T.T. Phys. Rev. E 54 (1996) 5575
18. Barbay S., Giacomelli G., and Marin F. Phys. Rev. Lett. 85 (2000) 4652
19. Harmer G.P., Davis B.R., and Abbott D. IEEE Trans. Instrum. Meas. 51 (2002) 299
20. Duan F., and Xu B. Int. J. Bifur. Chaos 13 (2003) 411
21. Duan F., Rousseau D., and Chapeau-Blondeau F. Phys. Rev. E 69 (2004) 11109
22. Xu B., Duan F., and Chapeau-Blondeau F. Phys. Rev. E 69 (2004) 61110
23. So F., and Liu K. Physica A 277 (2000) 335
24. So F., and Liu K. Physica A 331 (2004) 378
25. Samko S., Kilbas A., and Marichev O. Fractional Integrals and Derivatives-Theory and Applications (1993), Gordon & Breach, New York
26. Xu B., Li J., and Zheng J. J. Phys. A 36 (2003) 11969
27. Gorenflo R., Loutchko J., and Luchko Y. Fract. Calc. Appl. Anal. 5 4 (2002) 491
28. J. Li, X. Pan, A nonlinear monostable filter for bipolar pulse signal detection, Mech. Syst. Signal Processing, in press