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On the Stationary Probability Distributions for the $Schl\ddot{o}gl$ Model with the First Order Transition under the Influence of Singular Multiplicative Noise

  • Kyoung-Ran Kim (Department of Chemistry, National Fisheries University of Pusan) ;
  • Dong J. Lee (Department of Chemistry, National Fisheries University of Pusan) ;
  • Cheol-Ju Kim (Department of Chemistry, Chonbuk National University) ;
  • Kook Joe Shin (Department of Chemistry, Seoul National University)
  • Published : 1994.08.20

Abstract

For the Schlogl model with the first order transition under the influence of the multiplicative noise singular at the unstable steady state, the effects of the parameters on the stationary probability distributions obtained by the Ito and Stratonovich methods are discussed and compared in detail.

Keywords

References

  1. Phys. Rev. v.A44 Porra, J. M.;Masoliver, J.;Lindenberg, K.
  2. Phys. Rev. v.A35 Masoliver, J.;West, B.;Lindenberg, K.
  3. Phys. Rev. v.A43 Kus, K.;Wajnryb, E.;Wodkiewicz, K.
  4. Bull. Korean Chem. Soc. v.14 Kim, C. J.;Lee, D. J.
  5. Z. Phys. v.248;252 Schlogl, F.
  6. Bull. Korean Chem. Soc. v.6 Lee, D. J.;Ryu, M. H.;Lee, J. M.
  7. The Fokker-Planck Equations Risken, H.
  8. Stochastic Processes in Physics and Chemistry Van Kampen, N. G.
  9. Phys. Rev. v.A45 Hu, G.;He, K.

Cited by

  1. Noises- and delay-enhanced stability in a bistable dynamical system describing chemical reaction vol.87, pp.6, 1994, https://doi.org/10.1140/epjb/e2014-50218-x
  2. Resonant Phenomenon in a Stochastic Delayed Bistable Chemical System vol.45, pp.3, 2015, https://doi.org/10.1007/s13538-015-0319-x