<p>(a) The performance of the dynamical network as measured by <i>f</i> converges either to a high-<i>f</i> or a low-<i>f</i> equilibrium, depending on the probability of intrinsic failure, <i>p</i><sub><i>int</i></sub>, and the initial state. The parameter <i>p</i><sub><i>int</i></sub> ranges from 0.001 (triangles) to 0.005 (stars) in increments of 0.001. The dependence on the initial state is exemplified by the dashed curves, which converge to different equilibria although both were generated with the same <i>p</i><sub><i>int</i></sub>. (b) The equilibrium states (<i>f</i>*) of the dynamical network form a hysteresis loop. Numerical results (black) compare favorably with the analytically derived high-<i>f</i> and low-<i>f</i> equilibria (...
a) Progression of the order parameter of an example network over time, with the calculated synchrony...
<p>(a) Black circles: minimum observed ISI for each active cell in network simulations of different ...
<p>The hysteresis regions are shaded gray. A) Increase in <i>g</i><sub>K</sub> expands the oscillato...
<p>The probability of intrinsic failure, <i>p</i><sub><i>int</i></sub>, steadily increases (decrease...
<p>Distinct regimes of the network's operation as a function of excitatory and inhibitory gains and...
<p><i>(A)</i> Fraction of parameter sets resulting from 10,000 algorithm iterations that generated h...
<p><i>(A)</i> Extended model includes duplicated E2F species (E2F′) with independent regulation of s...
<p>Illustrated here are the dynamic characteristics of the two-excitatory-neuron network in <a href=...
Hysteresis can be defined from a dynamical systems perspective with respect to equilibrium points. C...
A: Firing rate of the network with adaptation at the equilibrium ϕ(x0) for increasing adaptive coupl...
<p>(A) Schematic diagram for attractor landscapes and state transitions of dynamical systems. Each r...
Figure on the left shows a smooth state transition along a pitchfork bifurcation where the system is...
<p>A: Response of the excitatory population to a 100% increase of the external drive to both e-cells...
<p>On the left: change in the average cooperation <i>c</i><sub>avg</sub> depending on the system siz...
<p>The network is equilibrated for a <i>Y</i><sub>1</sub> production level of <i>k</i> = 3. At <i>t<...
a) Progression of the order parameter of an example network over time, with the calculated synchrony...
<p>(a) Black circles: minimum observed ISI for each active cell in network simulations of different ...
<p>The hysteresis regions are shaded gray. A) Increase in <i>g</i><sub>K</sub> expands the oscillato...
<p>The probability of intrinsic failure, <i>p</i><sub><i>int</i></sub>, steadily increases (decrease...
<p>Distinct regimes of the network's operation as a function of excitatory and inhibitory gains and...
<p><i>(A)</i> Fraction of parameter sets resulting from 10,000 algorithm iterations that generated h...
<p><i>(A)</i> Extended model includes duplicated E2F species (E2F′) with independent regulation of s...
<p>Illustrated here are the dynamic characteristics of the two-excitatory-neuron network in <a href=...
Hysteresis can be defined from a dynamical systems perspective with respect to equilibrium points. C...
A: Firing rate of the network with adaptation at the equilibrium ϕ(x0) for increasing adaptive coupl...
<p>(A) Schematic diagram for attractor landscapes and state transitions of dynamical systems. Each r...
Figure on the left shows a smooth state transition along a pitchfork bifurcation where the system is...
<p>A: Response of the excitatory population to a 100% increase of the external drive to both e-cells...
<p>On the left: change in the average cooperation <i>c</i><sub>avg</sub> depending on the system siz...
<p>The network is equilibrated for a <i>Y</i><sub>1</sub> production level of <i>k</i> = 3. At <i>t<...
a) Progression of the order parameter of an example network over time, with the calculated synchrony...
<p>(a) Black circles: minimum observed ISI for each active cell in network simulations of different ...
<p>The hysteresis regions are shaded gray. A) Increase in <i>g</i><sub>K</sub> expands the oscillato...