326 citations
- Max Planck Institute for MathematicsDE16 papers
- Max Planck SocietyDE4 papers
- Baylor UniversityUS2 papers
- Capital Normal UniversityCN2 papers
- Institute of PhysicsPL2 papers
- University of OregonUS2 papers
- Central China Normal UniversityCN1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Chinese Academy of SciencesCN1 paper
- Courant Institute of Mathematical SciencesUS1 paper
- Indiana University BloomingtonUS1 paper
- Indian Statistical InstituteIN1 paper
9 papers · 1 filter
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…
Faber-Krahn Type Inequalities for Trees
Tuerker Biyikoglu, Josef Leydold
The Faber-Krahn theorem states that among all bounded domains with the same volume in (with the standard Euclidean metric), a ball that has lowest first Dirichlet e…
On the emergence of complex systems on the basis of the coordination of complex behaviors of their elements
Fatihcan M. Atay, Jürgen Jost
We argue that the coordination of the activities of individual complex agents enables a system to develop and sustain complexity at a higher level. We exemplify relevant mechanisms…
Metric Lie algebras and quadratic extensions
Ines Kath, Martin Olbrich
The present paper contains a systematic study of the structure of metric Lie algebras, i.e., finite-dimensional real Lie algebras equipped with a non-degenerate invariant symmetric…
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…