100 citations · 377 across the 14 of their papers we have counts for
4 papers · 1 filter
Embedding the dynamics of a single delay system into a feed-forward ring
Vladimir Klinshov, Dmitry Shchapin, Serhiy Yanchuk +3
We investigate the relation between the dynamics of a single oscillator with delayed self-feedback and a feed-forward ring of such oscillators, where each unit is coupled to its ne…
Phase response function for oscillators with strong forcing or coupling
Vladimir Klinshov, Serhiy Yanchuk, Artur Stephan +1
Phase response curve (PRC) is an extremely useful tool for studying the response of oscillatory systems, e.g. neurons, to sparse or weak stimulation. Here we develop a framework fo…
Transient sequences in a hypernetwork generated by an adaptive network of spiking neurons
Oleg V. Maslennikov, Dmitry S. Shchapin, Vladimir I. Nekorkin
We propose a model of an adaptive network of spiking neurons that gives rise to a hypernetwork of its dynamic states at the upper level of description. Left to itself, the network…
Mean-field dynamics of a population of stochastic map neurons
Igor Franovic, Oleg V. Maslennikov, Iva Bacic +1
We analyze the emergent regimes and the stimulus-response relationship of a population of noisy map neurons by means of a mean-field model, derived within the framework of cumulant…