149 citations · 1.5k across the 33 of their papers we have counts for
14 papers · 1 filter
Inertial synchronization of networked oscillators in arbitrary dimensions
Kirill Kovalenko, Bruce X. Dai, Fanshu Fang +6
The Kuramoto model provides a paradigmatic framework for studying synchronization of interacting oscillators, and has been generalized to arbitrary dimensions to describe swarms, f…
Crisis in time-dependent dynamical systems
Simona Olmi, Antonio Politi
Many dynamical systems operate in a fluctuating environment. However, even in low-dimensional setups, transitions and bifurcations have not yet been fully understood. In this Lette…
Cluster States and -Transition in the Kuramoto Model with Higher Order Interactions
Alejandro Carballosa, Alberto P. Muñuzuri, Stefano Boccaletti +2
We have examined the synchronization and de-synchronization transitions observable in the Kuramoto model with a standard pair-wise first harmonic interaction plus a higher order (t…
Perspectives on adaptive dynamical systems
Jakub Sawicki, Rico Berner, Sarah A. M. Loos +21
Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and technology. For example, adaptive couplings appear in various real-world systems like the powe…
Dynamic control of intermittent renewable energy fluctuations in two-layer power grids
Simona Olmi, Carl H. Totz, Eckehard Schöll
In this work we model the dynamics of power grids in terms of a two-layer network, and use the Italian high voltage power grid as a proof-of-principle example. The first layer in o…
Collective canard explosions of globally-coupled rotators with adaptive coupling
Marzena Ciszak, Simona Olmi, Giacomo Innocenti +2
Canards, special trajectories that follow invariant repelling slow manifolds for long time intervals, have been frequently observed in slow-fast systems of either biological, chemi…