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Theory of the asynchronous state of structured rotator networks and its application to recurrent networks of excitatory and inhibitory units
Jonas Ranft, Benjamin Lindner
Recurrently coupled oscillators that are sufficiently heterogeneous and/or randomly coupled can show an asynchronous activity in which there are no significant correlations among t…
A self-consistent analytical theory for rotator networks under stochastic forcing: effects of intrinsic noise and common input
Jonas Ranft, Benjamin Lindner
Despite the incredible complexity of our brains' neural networks, theoretical descriptions of neural dynamics have led to profound insights into possible network states and dynamic…
Fluctuation-dissipation relations for spiking neurons
Benjamin Lindner
Spontaneous fluctuations and stimulus response are essential features of neural functioning but how they are connected is poorly understood. I derive fluctuation-dissipation relati…
Asymptotic Phase for Stochastic Oscillators
Peter J. Thomas, Benjamin Lindner
Oscillations and noise are ubiquitous in physical and biological systems. When oscillations arise from a deterministic limit cycle, entrainment and synchronization may be analyzed…
Patterns of interval correlations in neural oscillators with adaptation
Tilo Schwalger, Benjamin Lindner
Neural firing is often subject to negative feedback by adaptation currents. These currents can induce strong correlations among the time intervals between spikes. Here we study ana…
Are the input parameters of white-noise-driven integrate-and-fire neurons uniquely determined by rate and CV?
Rafael D. Vilela, Benjamin Lindner
Integrate-and-fire (IF) neurons have found widespread applications in computational neuroscience. Particularly important are stochastic versions of these models where the driving c…