13 citations · 17 across the 6 of their papers we have counts for
8 papers
Dynamic threshold curves and response precision in forced excitable systems
Jonathan E. Rubin, Justyna Signerska-Rynkowska, Jonathan Touboul
We investigate here various properties of the responses of excitable systems subject to periodic forcing and noise. While the properties of intrinsic oscillators, subject to added…
Testing topological conjugacy of time series
Paweł Dłotko, Michał Lipiński, Justyna Signerska-Rynkowska
This paper considers a problem of testing, from a finite sample, a topological conjugacy of two dynamical systems and . More precisely, given $x_1,\ldots, x_n \subse…
Topological-numerical analysis of a two-dimensional discrete neuron model
Paweł Pilarczyk, Justyna Signerska-Rynkowska, Grzegorz Graff
We conduct computer-assisted analysis of the two-dimensional model of a neuron introduced by Chialvo in 1995 (Chaos, Solitons & Fractals 5, 461-479). We apply the method for rigoro…
Periodic and chaotic dynamics in a map-based neuron model
Frank Llovera Trujillo, Justyna Signerska-Rynkowska, Piotr Bartłomiejczyk
Map-based neuron models are an important tool in modelling neural dynamics and sometimes can be considered as an alternative to usually computationally costlier models based on con…
Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models
Jonathan Rubin, Justyna Signerska-Rynkowska, Jonathan D. Touboul
Experimental characterization of neuronal dynamics involves recording both of spontaneous activity patterns and of responses to transient and sustained inputs. While much theoretic…
Curlicues generated by circle homeomorphisms
Justyna Signerska-Rynkowska
We investigate the curves in the complex plane which are generated by sequences of real numbers being the lifts of the points on the orbit of an orientation preserving circle homeo…