<p>The diagrams show the stages of one hysteresis cycle starting from (<b>A</b>) with the state at as represented by the sphere. Decreasing creates the asymmetric situation (<b>B</b>). If the saddle-node bifurcation happens, i. e. both the maximum at z = 0 and the right minimum disappear so that the system shifts to the left minimum of the potential (<b>C</b>). Increasing until brings us back to the initial situation with the state shifted to the other well see (<b>D,E</b>). The diagrams (<b>F</b>) and (<b>G</b>) depict the switching from the minimum at to the minimum at by increasing . By decreasing until the hysteresis cycle is finished, see (<b>H,I</b>).</p
<p>For the network motif shown (darker connections are stronger), a single connection increases fro...
<p>Thin solid lines represents stable fixed points, while dashed lines unstable fixed points or sadd...
<p>Bifurcation diagram of the reduced model for as the bifurcation parameter (purely transmembrane ...
<p>The hysteresis regions are shaded gray. A) Increase in <i>g</i><sub>K</sub> expands the oscillato...
<p>Hysteresis at the upper boundary of the oscillatory range (where it exists) is indicated by arrow...
<p>(a) The red and blue pathways represent a hysteresis curve for an example -spot array induced in ...
A At amplitudes below the critical range no switching occurs (A = 0.7). B Amplitude values within th...
Basic concepts of electromagnetic theoryChange the x value with its slider. On the left you see how ...
<p>Parameters used are similar to <a href="http://www.plosone.org/article/info:doi/10.1371/journal.p...
<p>Red curves represent stable steady states and the black curves represent unstable steady states. ...
<p>If <i>S</i> varies the system exhibits hysteresis: depending on the history of <i>S</i> the syste...
<p>(A) Schematic representation of how the signal modifies the trajectories of G1-phase progression...
Hysteresis can be defined from a dynamical systems perspective with respect to equilibrium points. C...
<p>These bifurcation diagrams illustrate the FP’s and PO’s of the <i>V</i> and <i>h</i> model states...
<p>The hysteresis regions are shaded gray. A) Hysteresis is strong in the DA neuron. Parameters are ...
<p>For the network motif shown (darker connections are stronger), a single connection increases fro...
<p>Thin solid lines represents stable fixed points, while dashed lines unstable fixed points or sadd...
<p>Bifurcation diagram of the reduced model for as the bifurcation parameter (purely transmembrane ...
<p>The hysteresis regions are shaded gray. A) Increase in <i>g</i><sub>K</sub> expands the oscillato...
<p>Hysteresis at the upper boundary of the oscillatory range (where it exists) is indicated by arrow...
<p>(a) The red and blue pathways represent a hysteresis curve for an example -spot array induced in ...
A At amplitudes below the critical range no switching occurs (A = 0.7). B Amplitude values within th...
Basic concepts of electromagnetic theoryChange the x value with its slider. On the left you see how ...
<p>Parameters used are similar to <a href="http://www.plosone.org/article/info:doi/10.1371/journal.p...
<p>Red curves represent stable steady states and the black curves represent unstable steady states. ...
<p>If <i>S</i> varies the system exhibits hysteresis: depending on the history of <i>S</i> the syste...
<p>(A) Schematic representation of how the signal modifies the trajectories of G1-phase progression...
Hysteresis can be defined from a dynamical systems perspective with respect to equilibrium points. C...
<p>These bifurcation diagrams illustrate the FP’s and PO’s of the <i>V</i> and <i>h</i> model states...
<p>The hysteresis regions are shaded gray. A) Hysteresis is strong in the DA neuron. Parameters are ...
<p>For the network motif shown (darker connections are stronger), a single connection increases fro...
<p>Thin solid lines represents stable fixed points, while dashed lines unstable fixed points or sadd...
<p>Bifurcation diagram of the reduced model for as the bifurcation parameter (purely transmembrane ...