The aim of the project is to build a scientific network representing the starting point of an multidisciplinary institute having the target of merging a lot of researchers with different backgrounds and industrial companies with the aim to deeply investigate chaotic dynamics creating also an high level course in complex dynamics.
The project will deal with the control of both low-order chaotic systems and spatially distributed ones. Attention will be focused on issues concerning interconnected systems with self-organising features, particularly on cellular structures, named "Cellular Nonlinear Networks".These topics have applications in strategic fields of complex system theory.
The theme of complexity is strongly connected to the study of interconnected chaotic systems, generating several complex spatio-temporal dynamics. Consequently, scientific interest is also focused on synchronisation and control of these systems. In this framework specific analytical and numerical tools are required, often demanding high computing power without providing effective solutions to these problems.
The main aim of this project is to deal with some emerging issues in the field of complex systems, such as novel characterisation of complex systems and synchronisation in spatially extended systems, by developing novel analysis and control chaos based strategies on interacting dynamics. Moreover, the novel aspect of spatial diversity in complex systems will be investigated, relying on the idea that spatial diversity generated by deterministic dynamics with chaotic characteristics improves self-organisation and synchronisation in complex systems. The framework of this project is related to the characterisation of both low-order dynamic systems with a vast set of bifurcations and strange attractors which make control and analysis issues challenging, and to spatially extended systems generated by local interconnection (typically in 1D or 2D array structures) of low low-order systems.
The latter class of systems can be modelled by a novel analog tool, the Cellular Nonlinear Networks (CNNs), which consists of arrays of interacting analog nonlinear circuits. At present, a CNN matrix with a 128x128 cell size is being developed and prototyped. Therefore, a further aim of the project is to investigate on the possibility of exploiting a CNN-based architecture as a novel computing paradigm in the field of complex system studies.
This project also includes the possibility of testing complex system models in the fields of econo-physics and innovation engineering by using the methodologies and analytical tools introduced above. Beyond modelling these complex systems, the concept of micro-diversity as self-organisation factor and the possibility of validating model strategies on a CNN-based architectures will be considered. Concluding, the activities of the project can be summarised as follows: characterisation of low-order chaotic dynamics, analytical and experimental studies on spatially extended arrays with complex dynamics, investigation on the self-organising role of spatial micro-diversity, case-studies in specialistic fields, novel computational architectures for complex systems based on CNNs.
Furthermore, in perspective, the aim of the project is to build a scientific network representing the starting point of an multidisciplinary institute having the target of merging a lot of researchers with different backgrounds with the aim to deeply investigate chaotic dynamics creating also an high level course in complex dynamics.
Duration of the project: 36 months