From theory to modelling: urban systems as complex systems

From theory to modelling : urban systems as complex systems

The question of complexity and its increasing application to social sciences is challenging the modelling of spatial systems. New concepts and new methods have been proposed and invite to reformulate classical modelling frames. This approach is demanding to open a better informed dialogue between the disciplines which supply models and tools and those where the existing knowledge is reformulate...

Modelling of Complex Systems: Systems as Dataflow Machines

We develop a unified functional formalism for modelling complex systems, that is to say systems that are composed of a number of heterogeneous components, including typically software and physical devices. Our approach relies on non-standard analysis that allows us to model continuous time in a discrete way. Systems are defined as generalized Turing machines with temporized input, internal and ...

Complex fuzzy linear systems

From the mathematical kinetic theory of active particles to multiscale modelling of complex biological systems

The mathematical approach proposed in this paper refers to the modelling of large systems of interacting entities whose microscopic state includes not only mechanical variables (typically position and velocity), but also specific activities of the single entity. Their number is sufficiently large to describe the overall state of the system by a suitable probability distribution over the microsc...

A Theory for the Modelling of Complex and Dynamic Systems

The presented theory emerged during the 1980-ies, influenced several standards for Product Data Technology, and has been implemented, used and improved for a wide variety of product-types, ranging from Buildings to Roads, Bridges, Plants, Electronic and Electro-technical Systems, Mechanical parts and Mechanical Products, Processes and Organizations. Four cases of application are discussed, and ...