… In particular, complex systems may lead to the observation of one of the most … : emergent
behaviours. A good intuition for emergence arises when we observe in a complex system that it “…

… topological data analysis (TDA) and discuss its possible relevance for the study of complex
systems. … Likewise, where does the complex topology emerge? Can we find simple rules that …

… As a mathematical description in action (energy-time) phase space, we can say that a
global action mode is a lowdimensional topological attractor of the system dynamic; the system …

… emergent by some definitions, but we believe it is difficult to argue that the quantum system is
emergent in virtue of its topological … One might argue that the FQHS is emergent because of …

… simulations which enable our understanding of complex systems are at the same time an …
Of course, system’s dynamics depends not only on the topology of an underlying network but …

… Solé is a physicist and biologist working on complex systems theory, with particular … in
complex systems. The Internet, inparticular, powerfully exemplifies the importance of topology and …

… However, many fundamental aspects of biological systems at every scale remain to be …
methods have emerged, relying notably on differential geometry, topology and dynamical systems…

… Dynamical systems can be classified according to the topological properties of their … in
complex systems. Does the non-linearity generated by the feedback in complex systems provide …

… biological systems and confirm the emergence … complex systems has the potential to inform
the design of cooperative control algorithms for multivehicle teams [27], data fusion methods …

… ways in which topology has been used in combinatorics. The emphasis is on methods for
solving genuine combinatorial problems that initially do not involve any topology — rather than …