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supported by China Postdoctoral Science Foundation (2020TQ0053 and 2020M680456);the research funds of Qianshixinmiao[2022]B16,Qianjiaoji[2022]124 and Qiankehepingtairencai-YSZ[2022]022;supported by the NSFC (11731014 and 11571254);supported by the NSFC (11971067,11631008,11771183)。
Several new concepts of enhanced pullback attractors for nonautonomous dynamical systems are introduced here by uniformly enhancing the compactness and attraction of the usual pullback attractors over an infinite forw...