Middleware for ubiquitous computing are having a mediator role in ubiquitous systems. They have to be able to handle both dynamics: the dynamic of the environment and of the application. But, at least, they must consider the dynamic of the underlying software infrastructure. To handle such a dynamic, we present in this paper a mechanism for adaptation called cascaded aspects of assembly (AA). The functional decomposition proposed by cascaded AAs allows to dynamically compose adaptations to

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... e the dynamic variability of the application and of its infrastructure. Because cascaded AA can be selected/unselected or edited at runtime, some others processes can manage them in various autonomous and decentralized processes to handle the other dynamics.