44 citations · 160 across the 11 of their papers we have counts for
11 papers
Parameter and hidden-state inference in mean-field models from partial observations of finite-size neural networks
Irmantas Ratas, Kestutis Pyragas
We study large but finite neural networks that, in the thermodynamic limit, admit an exact low-dimensional mean-field description. We assume that the governing mean-field equations…
Desynchronization of large-scale neural networks by stabilizing unknown unstable incoherent equilibrium states
Tatjana Pyragiene, Kestutis Pyragas
In large-scale neural networks, coherent limit cycle oscillations usually coexist with unstable incoherent equilibrium states, which are not observed experimentally. We implement a…
Effect of Cauchy noise on a network of quadratic integrate-and-fire neurons with non-Cauchy heterogeneities
Viktoras Pyragas, Kestutis Pyragas
We analyze the dynamics of large networks of pulse-coupled quadratic integrate-and-fire neurons driven by Cauchy noise and non-Cauchy heterogeneous inputs. Two types of heterogenei…
Mean-field equations for neural populations with -Gaussian heterogeneities
Viktoras Pyragas, Kestutis Pyragas
Describing the collective dynamics of large neural populations using low-dimensional models for averaged variables has long been an attractive task in theoretical neuroscience. Rec…
Dynamics of a network of quadratic integrate-and-fire neurons with bimodal heterogeneity
Viktoras Pyragas, Kestutis Pyragas
An exact low-dimensional system of mean-field equations for an infinite-size network of pulse coupled integrate-and-fire neurons with a bimodal distribution of an excitability para…
Suppression of synchronous spiking in two interacting populations of excitatory and inhibitory quadratic integrate-and-fire neurons
Kestutis Pyragas, Augustinas P. Fedaravičius, Tatjana Pyragienė
Collective oscillations and their suppression by external stimulation are analyzed in a large-scale neural network consisting of two interacting populations of excitatory and inhib…
Entrainment of a network of interacting neurons with minimum stimulating charge
Kestutis Pyragas, Augustinas P. Fedaravičius, Tatjana Pyragienė
Periodic pulse train stimulation is generically used to study the function of the nervous system and to counteract disease-related neuronal activity, e.g., collective periodic neur…
Using reservoir computer to predict and prevent extreme events
Viktoras Pyragas, Kestutis Pyragas
We show that a reservoir computer is an effective tool for model-free prediction of extreme events in deterministic chaotic systems. This prediction allows us to suppress unwanted…
Symmetry breaking in two interacting populations of quadratic integrate-and-fire neurons
Irmantas Ratas, Kestutis Pyragas
We analyze the dynamics of two coupled identical populations of quadratic integrate-and-fire neurons, which represent the canonical model for class I neurons near the spiking thres…
Phase reduction of a limit cycle oscillator perturbed by a strong amplitude-modulated high-frequency force
Kestutis Pyragas, Viktor Novičenko
The phase reduction method for a limit cycle oscillator subjected to a strong amplitude-modulated high-frequency force is developed. An equation for the phase dynamics is derived b…
Time-Delayed Feedback Control Design Beyond the Odd Number Limitation
Kestutis Pyragas, Viktor Novicenko
We present an algorithm for a time-delayed feedback control design to stabilize periodic orbits with an odd number of positive Floquet exponents in autonomous systems. Due to the s…