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We introduce delay differential equations, give some motivation by applications, review basic facts about initial value problems from wellposedness to the variation-of-constants formula in the sun-star-framework, and discuss two topics in greater detail: (a) The dynamics generated by autonomous scalar equations with a single, constant time lag, from existence of periodic solutions to the fine structure...
We are interested in topological analysis and processing of the large-scale distributed data generated by sensor networks. Naturally, a large-scale sensor network is deployed in a geometric region with possibly holes and complex shape, and is used to sample some smooth physical signal field. We are interested in both the topology of the discrete sensor field in terms of the sensing holes (voids without...
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