154 citations · 1.7k across the 72 of their papers we have counts for
21 papers · 1 filter
Singular basins in multiscale systems: tunneling between stable states
Serhiy Yanchuk, Sebastian Wieczorek, Hildeberto Jardón-Kojakhmetov +1
Real-world systems often evolve on different timescales and possess multiple coexisting stable states. Whether or not a system returns to a given stable state after being perturbed…
Delayed Interactions in Active Agents: Stability and Formations
Yu Wang, Andreas Amann, Jinde Cao +2
Active agents with time-delayed interactions arise naturally in various real-world systems, such as biological systems, transportation networks and robotic swarms. Such systems are…
Universal bifurcation scenarios in delay-differential equations with one delay
Yu Wang, Jinde Cao, Jürgen Kurths +1
We show that delay-differential equations (DDE) exhibit universal bifurcation scenarios, which are observed in large classes of DDEs with a single delay. Each such universality cla…
Time-reversible dynamics in a system of two coupled active rotators
Oleksandr Burylko, Matthias Wolfrum, Serhiy Yanchuk +1
We study two coupled active rotators with Kuramoto-type coupling and focus our attention to specific transitional regimes where the coupling is neither attractive nor repulsive. We…
Synchronization in networks with heterogeneous adaptation rules and applications to distance-dependent synaptic plasticity
Rico Berner, Serhiy Yanchuk
This work introduces a methodology for studying synchronization in adaptive networks with heterogeneous plasticity (adaptation) rules. As a paradigmatic model, we consider a networ…
Generalized splay states in phase oscillator networks
Rico Berner, Serhiy Yanchuk, Yuri Maistrenko +1
Networks of coupled phase oscillators play an important role in the analysis of emergent collective phenomena. In this article, we introduce generalized -splay states constituti…