Non-Gaussian noise induced stochastic resonance in FitzHugh–Nagumo neural system with time delay
Source abstract
Abstract
In this paper, non-Gaussian noise induced stochastic resonance for the FitzHugh–Nagumo neural system with a time delay is investigated. Through the path integral method, the non-Gaussian noise is approximated as a colored noise, and according to the unified colored noise theory and the method of probability density approximation, a stochastic differential equation with a Markovian property is obtained. Then, by applying the two-state theory, the expression of the signal-to-noise ratio (SNR) is derived. Finally, the effects of non-Gaussian noise and time delay parameters in the neural system on the SNR are discussed with the help of analytical results.
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Research context
OpenAlex topics: stochastic dynamics and bifurcation · Probabilistic and Robust Engineering Design · Fractional Differential Equations Solutions
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Affiliations
School of Science, Jiangsu University of Science and Technology 1 , Zhenjiang 212003, China
School of Mathematical Sciences and Institute of Finance and Statistics, Nanjing Normal University 2 , Nanjing 210023, China
Funding
The Postaldoctoral Foundation of Jiangsu Province · Jiangsu Government Scholarship for Overseas Studies · National Natural Science Foundation of China
References (47)
Show source-provided references
1. J. Phys. A: Math. Gen. · 1981 · 14 · L45310.1088/0305-4470/14/11/006 ↗
2. Tellus · 1981 · 33 · 22510.1111/j.2153-3490.1981.tb01746.x ↗
3. Phys. Lett. A · 1983 · 97 · 510.1016/0375-9601(83)90086-5 ↗
4. Phys. Rev. E · 2007 · 76 · 05621010.1103/physreve.76.056210 ↗
5. Phys. Rev. E · 2007 · 75 · 04210110.1103/physreve.75.042101 ↗
6. Chin. Phys. B · 2009 · 18 · 175510.1088/1674-1056/18/5/007 ↗
7. Physica A · 2006 · 359 · 9810.1016/j.physa.2005.05.104 ↗
8. Chin. J. Phys. · 2016 · 54 · 52610.1016/j.cjph.2016.07.003 ↗
9. Comput. Phys. Commun. · 2011 · 182 · 24910.1016/j.cpc.2010.07.002 ↗
10. Fluctuation Noise Lett. · 2015 · 14 · 155001910.1142/s0219477515500194 ↗
11. Chin. J. Phys. · 2018 · 56 · 34610.1016/j.cjph.2017.11.014 ↗
12. Physica A · 2009 · 388 · 97710.1016/j.physa.2008.12.001 ↗
13. Physica A · 2014 · 408 · 9610.1016/j.physa.2014.04.015 ↗
14. Chaos · 2009 · 19 · 02311210.1063/1.3133126 ↗
15. Chin. Phys. B · 2010 · 19 · 04050810.1088/1674-1056/19/4/040508 ↗
16. Commun. Nonlinear Sci. Numer. Simul. · 2014 · 19 · 108810.1016/j.cnsns.2013.08.021 ↗
17. Phys. Rev. E · 2013 · 87 · 05291710.1103/physreve.87.052917 ↗
18. Phys. Rev. E · 1999 · 59 · 397010.1103/physreve.59.3970 ↗
19. Phys. Rev. E · 2000 · 61 · 490610.1103/physreve.61.4906 ↗
20. Phys. Rev. E · 2004 · 69 · 06110410.1103/physreve.69.061104 ↗
21. Phys. Rev. E · 2005 · 71 · 03110610.1103/physreve.71.031106 ↗
22. Phys. Rev. E · 2005 · 72 · 01111210.1103/physreve.72.011112 ↗
23. J. Physiol. · 1952 · 117 · 50010.1113/jphysiol.1952.sp004764 ↗
24. Front. Phys. · 2017 · 12 · 12890210.1007/s11467-017-0602-0 ↗
25. Phys. Lett. A · 2008 · 372 · 529910.1016/j.physleta.2008.06.015 ↗
26. Eur. Phys. J. B · 2015 · 88 · 110.1140/epjb/e2015-50865-3 ↗
27. Chin. Phys. Lett. · 2014 · 31 · 02050210.1088/0256-307x/31/2/020502 ↗
28. Phys. Rev. Lett. · 1994 · 72 · 212510.1103/physrevlett.72.2125 ↗
29. Phys. Rev. Lett. · 1999 · 82 · 240210.1103/physrevlett.82.2402 ↗
30. Phys. Rep. · 2000 · 339 · 110.1016/s0370-1573(00)00070-3 ↗
31. J. Phys. A · 2004 · 37 · R16110.1088/0305-4470/37/31/r01 ↗
32. Physica A · 2002 · 303 · 9110.1016/s0378-4371(01)00435-6 ↗
33. Physica A · 2007 · 384 · 24110.1016/j.physa.2007.06.001 ↗
34. Physica A · 2009 · 388 · 78110.1016/j.physa.2008.11.046 ↗
35. Fluctuation Noise Lett. · 2019 · 18 · 195002710.1142/s0219477519500275 ↗
36. Phys. Rev. Lett. · 2004 · 93 · 01060110.1103/physrevlett.93.010601 ↗
37. Phys. Rev. E · 1998 · 57 · 497910.1103/physreve.57.4979 ↗
38. Sci. China: Technol. Sci. · 2014 · 57 · 93610.1007/s11431-014-5534-0 ↗
39. J. Stat. Mech.: Theory Exp. · 2013 · P1001710.1088/1742-5468/2013/10/p10017 ↗
40. Eur. Phys. J. B · 2014 · 87 · 13610.1140/epjb/e2014-50218-x ↗
41. Phys. Rev. A · 1987 · 35 · 446410.1103/physreva.35.4464 ↗
42. J. Opt. Soc. Am. A · 1988 · 5 · 97910.1364/josab.5.000979 ↗
43. 1989
44. 1994
45. Phys. Rev. A · 1986 · 33 · 46710.1103/physreva.33.467 ↗
46. Phys. Rev. E · 1999 · 59 · 514210.1103/physreve.59.5142 ↗
47. Braz. J. Phys. · 1999 · 29 · 13610.1590/s0103-97331999000100012 ↗