We construct a theory-based numerical method for starting the continuation of homoclinic tangencies near 1 : 1 resonances, for systems with arbitrary dimension 2. The core of the ...
We propose a new approach, based on the Conley index theory, for the detection and classification of critical regions in multidimensional data sets. The use of homology groups ma...
Madjid Allili, David Corriveau, Sara Deriviè...
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
We consider the role of topological dimension in problems of network consensus and vehicular formations where only local feedback is available. In particular, we consider the simpl...
Bassam Bamieh, Mihailo R. Jovanovic, Partha P. Mit...
Whenever a structure with a particularly interesting computability-theoretic property is found, it is natural to ask whether similar examples can be found within well-known classe...
Denis R. Hirschfeldt, Bakhadyr Khoussainov, Richar...