References
- L. Arnold, Random dynamical systems, Dynamical systems, Springer, Berlin, Corrected 2nd printing, 2003.
- L. Arnold and I. Chueshov, Order-Preserving Random Dynamical Systems: Equilibria, attractors, applications, Dyn. Stab. of Sys., 13 (1998), 265-280. https://doi.org/10.1080/02681119808806264
- T. Buhler and D.A. Salamon, Functional analysism Amer, Math. Soc., 2018.
- D.N. Cheban, Nonautonomous Dynamics, Springer Int. Publishing, 2020.
- D. Cheban, On The Structure of The Levinson Center for Monotone Dissipative Nonautonomous Dynamical Systems, Adv. Math. Res. Nova Scie. Pub., 29 (2021), 173-218.
- I. Chueshov, Monotone random systems theory and applications, Springer, 2004.
- A. Gu, S. Zhou and Q. Jin, Random Attractors for Partly Dissipative Stochastic Lattice Dynamical Systems with Multiplicative White Noises, Acta Math. Appl. Sin. English Ser., 31 (2015), 567-576. https://doi.org/10.1007/s10255-015-0486-0
- J. Huang, Random attractor of stochastic partly dissipative systems perturbed by L'evy noise, J. Ineq. Appl., 2012 (2012), 1-13. https://doi.org/10.1186/1029-242X-2012-1
- P. Kloeden and R. Pavani, Dissipative synchronization of nonautonomous and random systems, GAMM-Mitt., 32 (2009), 80-92. https://doi.org/10.1002/gamm.200910006
- C. Kuehn, A. Neamt,u and A. Pein, Random attractors for stochastic partly dissipative systems, Nonlinear Diff. Equ. Appl., NoDEA, 27 (2020), 1-37. https://doi.org/10.1007/s00030-019-0604-4
- S. Kuksin and A. Shirikyan, On dissipative systems perturbed by bounded random kickforces, Ergod. Th. & Dynam. Sys., 22 (2002), 1487-1495.
- A. Mazurov and P. Pakshin, Stochastic dissipativity with risk-sensitive storage function and related control problems, ICIC Expr. Lett., 3 (2009), 53-60.
- T. Rajpurohit and W. Haddad, Dissipativity Theory for Nonlinear Stochastic Dynamical Systems, IEEE Trans. Auto. Control., 62 (2017), 1684-1699. https://doi.org/10.1109/TAC.2016.2598474
- S.M. Ulam and J. Von Neumann, Random ergodic theorems, Bull. Amer. Math. Soc., 51 (1945), 660.
- Y. Wang, Y. Liu and Z. Wang, Random attractors for partly dissipative stochastic lattice dynamical systems, J. Diff. Equ. Appl., 14 (2008), 799-817. https://doi.org/10.1080/10236190701859542
- Z. Wu, M. Cui, X. Xie and P. Shi, Theory of stochastic dissipative systems, IEEE Trans. Autom. Control, 56 (2011), 1650-1655. https://doi.org/10.1109/TAC.2011.2121370
- S. Xiaoying and M. Qiaozhen, Existence of random attractors for weakly dissipative plate equations with memory and additive white noise, Comput. Math. Appl., 73 (2017), 2258-2271. https://doi.org/10.1016/j.camwa.2017.03.009
- L. Yuhong, Z. Brzezniak and Z. Jianzhon, Conceptual Analysis and Random Attractor for Dissipative Random Dynamical Systems, Acta Math. Scienttia, 28 (2008), 253-268. https://doi.org/10.1016/S0252-9602(08)60026-0