326 citations
- Max Planck SocietyDE35 papers
- Max Planck Institute for Mathematics in the SciencesDE10 papers
- Collège de FranceFR3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Northwestern UniversityUS2 papers
- The University of AdelaideAU2 papers
- Brown UniversityUS1 paper
- Central China Normal UniversityCN1 paper
- Centre d’Immunologie de Marseille-LuminyFR1 paper
- Chinese Academy of SciencesCN1 paper
- Fondation Sophia AntipolisFR1 paper
- Independent University of MoscowRU1 paper
18 papers · 1 filter
Twisted Novikov homology and circle-valued Morse theory for knots and links
Hiroshi Goda, Andrei V. Pajitnov
The Morse-Novikov number MN(L) of a smooth link L in the three-dimensional sphere is by definition the minimal possible number of critical points of a regular circle-valued Morse f…
Distributed Delays Facilitate Amplitude Death of Coupled Oscillators
Fatihcan M. Atay
Coupled oscillators are shown to experience amplitude death for a much larger set of parameter values when they are connected with time delays distributed over an interval rather t…
Quantum inequalities in quantum mechanics
Simon P. Eveson, Christopher J. Fewster, Rainer Verch
We study a phenomenon occuring in various areas of quantum physics, in which an observable density (such as an energy density) which is classically pointwise nonnegative may assume…
Modular curves, C* algebras, and chaotic cosmology
Matilde Marcolli
We make some brief remarks on the relation of the mixmaster universe model of chaotic cosmology to the geometry of modular curves and to noncommutative geometry. In particular we c…
Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces
Juergen Jost, Yihu Yang
We deform a map into a Riemannian manifold that is horizontal with respect to a submersion onto a non-positively curved manifold and satisfies a Chow condition into a harmonic one…
Delays, connection topology, and synchronization of coupled chaotic maps
Fatihcan M. Atay, Jürgen Jost, Andreas Wende
We consider networks of coupled maps where the connections between units involve time delays. We show that, similar to the undelayed case, the synchronization of the network depend…