Color denotes the magnitude of the dynamics and , and the direction is shown by the arrows. Streamlines are shown in cyan. The diseased system contains three stable points, but also a spiral attractor at small values of X1 and X2. The target healthy dynamics has been designed to contain slightly repulsive dynamics in the original spiral attractor region, but still maintains its stable points.</p
<p>Left: (a) Phase portrait of T cell population dynamics with . Right: (b) Phase portrait of T cell...
<p>Green, red, and black dots denote stable, repelling, and saddle FPs (resp.) in the vicinity of th...
<p>Phase portraits of system (4) corresponding to the time series represented in Fig. 5A for the fol...
The magnitude is plotted on a logarithmic scale for easier visualization, and arrows give gradient d...
The phase portrait for dynamic systems is a tool used to graphically determine the instantaneous beh...
<p>(A) Fixation (pre-target onset): , , . Orange and green curves represent nullclines: where and ,...
<p>The -nullcline and -nullcline are colored in blue and green respectively. The red circles represe...
Here the time evolution under different input sets is depicted in different colors. It is clearly ev...
<p>(a) and (b) represent critical transitions without and with noise in the attractor dynamics, resp...
In each case, the original phase portrait is also reported (in black line) for comparison. The two c...
<p>(A) The state of the system (red sphere) at rest in the typical homeostatic stable state. (B) Sma...
<p>Panels A, B. Microscopic Brain cortex from deceased cancer patient. Observe how pyramidal cells a...
<p>Phase plots of (a) human capital against disease prevalence, (b) capital against plant density, a...
<p>In these panels, the unperturbed behavior of the model is compared to the controlled behavior at ...
<p>Blue arrows indicate the drift . The black lines are the nullclines where one component of vanis...
<p>Left: (a) Phase portrait of T cell population dynamics with . Right: (b) Phase portrait of T cell...
<p>Green, red, and black dots denote stable, repelling, and saddle FPs (resp.) in the vicinity of th...
<p>Phase portraits of system (4) corresponding to the time series represented in Fig. 5A for the fol...
The magnitude is plotted on a logarithmic scale for easier visualization, and arrows give gradient d...
The phase portrait for dynamic systems is a tool used to graphically determine the instantaneous beh...
<p>(A) Fixation (pre-target onset): , , . Orange and green curves represent nullclines: where and ,...
<p>The -nullcline and -nullcline are colored in blue and green respectively. The red circles represe...
Here the time evolution under different input sets is depicted in different colors. It is clearly ev...
<p>(a) and (b) represent critical transitions without and with noise in the attractor dynamics, resp...
In each case, the original phase portrait is also reported (in black line) for comparison. The two c...
<p>(A) The state of the system (red sphere) at rest in the typical homeostatic stable state. (B) Sma...
<p>Panels A, B. Microscopic Brain cortex from deceased cancer patient. Observe how pyramidal cells a...
<p>Phase plots of (a) human capital against disease prevalence, (b) capital against plant density, a...
<p>In these panels, the unperturbed behavior of the model is compared to the controlled behavior at ...
<p>Blue arrows indicate the drift . The black lines are the nullclines where one component of vanis...
<p>Left: (a) Phase portrait of T cell population dynamics with . Right: (b) Phase portrait of T cell...
<p>Green, red, and black dots denote stable, repelling, and saddle FPs (resp.) in the vicinity of th...
<p>Phase portraits of system (4) corresponding to the time series represented in Fig. 5A for the fol...