APPM Complex/Dynamical Systems Seminar - Aaron Hagerstrom
| Event Description: Aaron Hagerstrom, National Institute of Standards and Technology (NIST), Â鶹ӰԺ, CO Cluster synchronization and symmetries in networks of coupled dynamical systems Synchronization is an important and prevalent phenomenon in natural and engineered systems. In addition to the widely-studied case of global synchronization, many networks also exhibit cluster synchronization: a state where there are two or more synchronized subsets of nodes which are not synchronized to each other. Over the past few years, several works have demonstrated the utility of computational group theory for predicting patterns of cluster synchronization in networks based on the topology of the network, and analyzing the stability of these patterns against perturbations. Since dynamical states which are unstable do not persist in the presence of noise, this stability analysis can be used to determine under what conditions a particular cluster synchronization pattern is physically realizable. In networks with Laplacian coupling, where the coupling between nodes is balanced to insure that global synchronization is possible, there are more possible patterns that may be observed, but these can be predicted and analyzed within the same framework. Recent work has also demonstrated that these techniques can be used to predict the existence of chimera states in small, globally-coupled networks. These theoretical results are supported by experiments with chaotic optoelectronic feedback loops. |
| Location Information: ÌýÌý() 1111 Engineering DRÌý Â鶹ӰԺ, COÌý Room:Ìý226: Applied Math Conference Room |
| Contact Information: Name: Ian Cunningham Phone: 303-492-4668 ·¡³¾²¹¾±±ô:Ìýamassist@colorado.edu |