BLÖMKER D, HAIRER M. Amplitude Equations for Spdes: Approximate Centre Manifolds and Invariant Measures[M]//Probability and Partial Differential Equations in Modern Applied Mathematics. New York: Springer, 2005: 41-59.
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KLEPEL K, BLÖMKER D, MOHAMMED W W. Amplitude Equation for the Generalized Swift-Hohenberg Equation with Noise[J]. Zeitschrift Für Angewandte Mathematik Und Physik, 2014, 65(6): 1107-1126. doi: 10.1007/s00033-013-0371-8
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BLÖMKER D, HAIRER M, PAVLIOTIS G A. Multiscale Analysis for Stochastic Partial Differential Equations with Quadratic Nonlinearities[J]. Nonlinearity, 2007, 20(7): 1721-1744.
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BLÖMKER D, MOHAMMED W W. Amplitude Equations for SPDEs with Cubic Nonlinearities[J]. Stochastics, 2013, 85(2): 181-215. doi: 10.1080/17442508.2011.624628
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ROBERTS A J. A Step towards Holistic Discretisation of Stochastic Partial Differential Equations[J]. ANZIAM Journal, 2003, 45: 1-15.
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WANGW, ROBERTSA J. Macroscopic Reduction for Stochastic Reaction-Diffusion Equations[J]. IMA Journal of Applied Mathematics, 2013, 78(6): 1237-1264. doi: 10.1093/imamat/hxs019
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HUTT A, LONGTIN A, SCHIMANSKY-GEIER L. Additive Noise-Induced Turing Transitions in Spatial Systems with Application to Neural Fields and the Swift-Hohenberg Equation[J]. Physica D: Nonlinear Phenomena, 2008, 237(6): 755-773. doi: 10.1016/j.physd.2007.10.013
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BLÖMKER D, MOHAMMED W. Amplitude Equation for SPDEs with Quadratic Non-Linearities[J]. Electronic Journal of Probability, 2009, 14: 2527-2550.
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MOHAMMED W W, BLÖMKER D, KLEPEL K. Multi-Scale Analysis of SPDEs with Degenerate Additive Noise[J]. Journal of Evolution Equations, 2014, 14(2): 273-298. doi: 10.1007/s00028-013-0213-3
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BLÖMKER D. Amplitude Equations for Stochastic Partial Differential Equations[M]. Singapore: World Scientific, 2007.
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BLÖMKER D. Approximation of the Stochastic Rayleigh-Bénard Problem near the Onset of Convection and Related Problems[J]. Stochastics and Dynamics, 2005, 5(3): 441-474.
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BLÖMKER D, HAIRER M. Multiscale Expansion of Invariant Measures for SPDEs[J]. Communications in Mathematical Physics, 2004, 251(3): 515-555.
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DE BOUARD A, DEBUSSCHE A. Random Modulation of Solitons for the Stochastic Korteweg-de Vries Equation[J]. AnnalesDe l'Institut Henri Poincaré C, AnalyseNon Linéaire, 2007, 24(2): 251-278.
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PRADAS M, PAVLIOTIS G A, KALLIADASIS S, et al. Additive Noise Effects in Active Nonlinear Spatially Extended Systems[J]. European Journal of Applied Mathematics, 2012, 23(5): 563-591.
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李兴贵, 黄家琳. 不动点技巧在反应扩散模糊随机周期时滞系统稳定性分析中的应用[J]. 西南大学学报(自然科学版), 2019, 41(6): 64-72.
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