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Random attractors for nonautonomous stochastic FitzHughNagumo systems with multiplicative noise
1.  Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801 
References:
[1] 
P.W. Bates, H. Lisei and K. Lu, Attractors for stochastic lattice dynamical systems, Stoch. Dyn., 6 (2006), 121. 
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P.W. Bates, K. Lu and B. Wang, Random attractors for stochastic reactiondiffusion equations on unbounded domains, J. Differential Equations, 246 (2009), 845869. 
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T. Caraballo, M.J. GarridoAtienza, B. Schmalfuss and J. Valero, Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions, Discrete Contin. Dyn. Syst. Ser. B, 14 (2010), 439455. 
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H. Crauel and F. Flandoli, Attractors for random dynamical systems, Probab. Th. Re. Fields, 100 (1994), 365393. 
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J. Duan and B. Schmalfuss, The 3D quasigeostrophic fluid dynamics under random forcing on boundary, Comm. Math. Sci., 1 (2003), 133151. 
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F. Flandoli and B. Schmalfuss, Random attractors for the 3D stochastic NavierStokes equation with multiplicative noise, Stoch. Stoch. Rep., 59 (1996), 2145. 
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B. Schmalfuss, Backward cocycles and attractors of stochastic differential equations, International Seminar on Applied MathematicsNonlinear Dynamics: Attractor Approximation and Global Behavior, 1992, 185192. 
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B. Wang, Sufficient and necessary criteria for existence of pullback attractors for noncompact random dynamical systems, J. Differential Equations, 253 (2012),15441583. 
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B. Wang, Existence and upper semicontinuity of attractors for stochastic equations with deterministic nonautonomous terms, arXiv:1205.4658v1, 2012. 
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B. Wang, Random attractors for nonautonomous stochastic wave equations with multiplicative noise, Discrete and Continuous Dynamical Systems, Series A, 34 (2014), 269300. 
show all references
References:
[1] 
P.W. Bates, H. Lisei and K. Lu, Attractors for stochastic lattice dynamical systems, Stoch. Dyn., 6 (2006), 121. 
[2] 
P.W. Bates, K. Lu and B. Wang, Random attractors for stochastic reactiondiffusion equations on unbounded domains, J. Differential Equations, 246 (2009), 845869. 
[3] 
T. Caraballo, M.J. GarridoAtienza, B. Schmalfuss and J. Valero, Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions, Discrete Contin. Dyn. Syst. Ser. B, 14 (2010), 439455. 
[4] 
H. Crauel and F. Flandoli, Attractors for random dynamical systems, Probab. Th. Re. Fields, 100 (1994), 365393. 
[5] 
J. Duan and B. Schmalfuss, The 3D quasigeostrophic fluid dynamics under random forcing on boundary, Comm. Math. Sci., 1 (2003), 133151. 
[6] 
F. Flandoli and B. Schmalfuss, Random attractors for the 3D stochastic NavierStokes equation with multiplicative noise, Stoch. Stoch. Rep., 59 (1996), 2145. 
[7] 
B. Schmalfuss, Backward cocycles and attractors of stochastic differential equations, International Seminar on Applied MathematicsNonlinear Dynamics: Attractor Approximation and Global Behavior, 1992, 185192. 
[8] 
B. Wang, Sufficient and necessary criteria for existence of pullback attractors for noncompact random dynamical systems, J. Differential Equations, 253 (2012),15441583. 
[9] 
B. Wang, Existence and upper semicontinuity of attractors for stochastic equations with deterministic nonautonomous terms, arXiv:1205.4658v1, 2012. 
[10] 
B. Wang, Random attractors for nonautonomous stochastic wave equations with multiplicative noise, Discrete and Continuous Dynamical Systems, Series A, 34 (2014), 269300. 
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