79 citations · 148 across the 10 of their papers we have counts for
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nlin.CD2019★ 4 cited
Delay-induced homoclinic bifurcations in modified gradient bistable systems and their relevance to optimisation
Natalia B. Janson, Christopher J. Marsden
Nonlinear dynamical systems with time delay are abundant in applications, but are notoriously difficult to analyse and predict because delay-induced effects strongly depend on the…
nlin.CD2007★ 20 cited
Excitable systems with noise and delay with applications to control: renewal theory approach
Andrey Pototsky, Natalia Janson
We present an approach for the analytical treatment of excitable systems with noise-induced dynamics in the presence of time delay. An excitable system is modeled as a bistable sys…
nlin.CD2006★ 79 cited
Noise-induced cooperative dynamics and its control in coupled neuron models
B. Hauschildt, N. B. Janson, A. Balanov +1
We investigate feedback control of the cooperative dynamics of two coupled neural oscillators that is induced merely by external noise. The interacting neurons are modelled as Fitz…