25 citations · 29 across the 7 of their papers we have counts for
3 papers · 1 filter
Deviations from global coupling in adaptive oscillator networks: a mean-field theory for the variance of coupling weights
Richard Gast, Shotaro Takasu, Juergen Kurths +1
A wide range of physical and biological systems are adaptive networks, in which the dynamics of the nodes and of the edges connecting them co-evolve. Mean-field reductions of such…
Local connectivity balance shapes population dynamics in random recurrent networks
Shotaro Takasu, Richard Gast, Ann Kennedy
Disordered dynamical systems comprising many interacting units, from ecological communities to neural circuits, are ubiquitous, and understanding how connectivity shapes their coll…
A multi-ensemble mean-field reduction method for networks of globally coupled phase oscillators with arbitrary parameter distributions
Richard Gast, Shotaro Takasu, Helmut Schmidt +1
Understanding the dynamical properties of coupled phase oscillator systems with heterogeneous oscillator frequencies has been a long-standing challenge of complex systems theory. W…