5,226 research outputs found
Complex partial synchronization patterns in networks of delay-coupled neurons
We study the spatio-temporal dynamics of a multiplex network of delay-coupled FitzHugh–Nagumo oscillators with non-local and fractal connectivities. Apart from chimera states, a new regime of coexistence of slow and fast oscillations is found. An analytical explanation for the emergence of such coexisting partial synchronization patterns is given. Furthermore, we propose a control scheme for the number of fast and slow neurons in each layer.DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzept
Dynamical systems with time-dependent coupling: Clustering and critical behaviour
We study the collective behaviour of an ensemble of coupled motile elements
whose interactions depend on time and are alternatively attractive or
repulsive. The evolution of interactions is driven by individual internal
variables with autonomous dynamics. The system exhibits different dynamical
regimes, with various forms of collective organization, controlled by the range
of interactions and the dispersion of time scales in the evolution of the
internal variables. In the limit of large interaction ranges, it reduces to an
ensemble of coupled identical phase oscillators and, to some extent, admits to
be treated analytically. We find and characterize a transition between ordered
and disordered states, mediated by a regime of dynamical clustering.Comment: to appear in Physica
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