Periodic solutions in threshold-linear networks and their entrainment
Threshold-linear networks (TLNs) are recurrent networks where the dynamics are threshold-linear
(linearly rectified at zero). Mathematically, they consist of coupled nonsmooth ordinary …
(linearly rectified at zero). Mathematically, they consist of coupled nonsmooth ordinary …
A data-driven distributionally robust approach for the optimal coupling of interdependent critical infrastructures under random failures
Critical infrastructures (CIs), such as energy systems, transportation networks and
telecommunications networks, are the backbone of any advanced society, and ensuring their …
telecommunications networks, are the backbone of any advanced society, and ensuring their …
Membrane potential resonance in non-oscillatory neurons interacts with synaptic connectivity to produce network oscillations
A Bel, HG Rotstein - Journal of Computational Neuroscience, 2019 - Springer
Several neuron types have been shown to exhibit (subthreshold) membrane potential
resonance (MPR), defined as the occurrence of a peak in their voltage amplitude response to …
resonance (MPR), defined as the occurrence of a peak in their voltage amplitude response to …
The homotopy analysis method in bifurcation analysis of delay differential equations
In this paper we apply the homotopy analysis method (HAM) to study the van der Pol equation
with a linear delayed feedback. The paper focuses on the calculation of periodic solutions …
with a linear delayed feedback. The paper focuses on the calculation of periodic solutions …
Global study of the simple pendulum by the homotopy analysis method
Techniques are developed to find all periodic solutions in the simple pendulum by means of
the homotopy analysis method (HAM). This involves the solution of the equations of motion …
the homotopy analysis method (HAM). This involves the solution of the equations of motion …
Effect of delayed feedback on the dynamics of a scalar map via a frequency-domain approach
FS Gentile, AL Bel, M Belén D'Amico… - … Journal of Nonlinear …, 2011 - pubs.aip.org
The effect of delayed feedback on the dynamics of a scalar map is studied by using a
frequency-domain approach. Explicit conditions for the occurrence of period-doubling and Neimark-…
frequency-domain approach. Explicit conditions for the occurrence of period-doubling and Neimark-…
[HTML][HTML] Complex patterns in networks of hyperexcitable neurons
C Schindewolf, D Kim, A Bel, HG Rotstein - Theoretical Computer Science, 2016 - Elsevier
Complex patterns in neuronal networks emerge from the cooperative activity of the
participating neurons, synaptic connectivity and network topology. Several neuron types exhibit …
participating neurons, synaptic connectivity and network topology. Several neuron types exhibit …
A resilience-based framework for the optimal coupling of interdependent critical infrastructures
As critical infrastructures (CIs) are essential for the safety and socio-economic stability of a
society, ensuring their resilience is a task of the utmost importance. Critical infrastructures are …
society, ensuring their resilience is a task of the utmost importance. Critical infrastructures are …
Periodic orbits and chaos in nonsmooth delay differential equations
In this paper, we present a method to find periodic solutions for certain types of nonsmooth
differential equations or nonsmooth delay differential equations. We apply the method to …
differential equations or nonsmooth delay differential equations. We apply the method to …
[PDF][PDF] A mathematical framework for the optimal coupling of interdependent critical infrastructures
Critical infrastructures, such as energy systems, transportation and telecommunications
networks, are essential for the safety and socio-economic stability of a society. Critical …
networks, are essential for the safety and socio-economic stability of a society. Critical …