The following exerpt from the Complex Systems Institute (Paris Ile-de-France) roadmap provides a description of complex systems.
"A “complex system” is in general any system comprised of a great number of heterogeneous entities, among which local interactions create multiple levels of collective structure and organization.
Examples include natural systems ranging from bio-molecules and living cells to human social systems and the ecosphere, as well as sophisticated artificial systems such as the Internet, power grid or any large-scale distributed software system.
A unique feature of complex systems, generally overlooked by traditional science, is the emergence of non-trivial superstructures which often dominate the system’s behaviour and cannot be easily traced back to the properties of the constituent entities. Not only do higher emergent features of complex systems arise from lower-level interactions, but the global patterns that they create affect in turn these lower levels — a feedback loop sometimes called immergence. In many cases, complex systems possess striking properties of robustness against various large-scale and potentially disruptive perturbations. They have an inherent capacity to adapt and maintain their stability."
This course will focus on an open problem in the field of Complex systems sciences selected among currently active research topics. During part of the course, there will be a synthesis and analysis of the problem, through individual and group studies together with some formal courses.
Dernière mise à jour : samedi 25 juin 2011