326 citations
- Max Planck Institute for MathematicsDE40 papers
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8 papers · 1 filter
Delayed Feedback Control near Hopf Bifurcation
Fatihcan M. Atay
The stability of functional differential equations under delayed feedback is investigated near a Hopf bifurcation. Necessary and sufficient conditions are derived for the stability…
Synchronization of discrete-time dynamical networks with time-varying couplings
Wenlian Lu, Fatihcan M. Atay, Jürgen Jost
We study the local complete synchronization of discrete-time dynamical networks with time-varying couplings. Our conditions for the temporal variation of the couplings are rather g…
Chaos synchronization in networks of coupled maps with time-varying topologies
Wenlian Lu, Fatihcan M. Atay, Jürgen Jost
Complexity of dynamical networks can arise not only from the complexity of the topological structure but also from the time evolution of the topology. In this paper, we study the s…
Remarques sur les spineurs de Killing transversaux
Nicolas Ginoux, Georges Habib
We show necessary conditions for the existence of transversal Killing spinors on a spin manifold endowed with a Riemannian flow.
Convex Trace Functions on Quantum Channels and the Additivity Conjecture
Markus Mueller
We study a natural generalization of the additivity problem in quantum information theory: given a pair of quantum channels, then what is the set of convex trace functions that att…
Lossless Quantum Prefix Compression for Communication Channels that are Always Open
Markus Mueller, Caroline Rogers, Rajagopal Nagarajan
We describe a method for lossless quantum compression if the output of the information source is not known. We compute the best possible compression rate, minimizing the expected b…