| Simulator: xpp 8.0 | |
| CPU cores: 1 | |
| RAM: 8 GB | |
| Max time: 20 m |
| Submitted: 2022-02-28 09:46:30 PM | |
| Updated: 2022-02-28 09:47:31 PM | |
Status: Succeeded |
The code can be used to reproduce time series and bifurcation diagrams shown in Figs. 4 and 5.
Time series (obtained from time_series.ode): a.) time series for ‘par vle=720’: - parameter specification from line 33 b.) time series for ‘par vle=3700’: - parameter specification from line 34
Bifurcation diagrams (obtained from continuatons.ode) c.) bifurcation diagram for ‘par vle=720’: - initial conditions from line 64-68 (instead of line 72-76) - parameter specification from line 87 (instead of line 88) - change ‘PARMIN=-250’ to ‘PARMIN=-50’ in line 201 - change ‘XAUTOMIN=-250’ to ‘XAUTOMIN=-50’ in line 202 - forward and backward continuation as described in the general instructions 1-8.) given below
d.) upper branch of bifurcation diagram for ‘par vle=3700’: - initial conditions from line 72-76 - parameter specification from line 88 - default values for ‘PARMIN’ and ‘XAUTOMIN’ in lines 201-202 - forward and backward continuation as described in the general instructions 1-8.) given below
d.) lower branch of bifurcation diagram for ‘par vle=3700’: - initial conditions from line 64-68 - parameter specification from line 88 - default values for ‘PARMIN’ and ‘XAUTOMIN’ in lines 201-202 - forward and backward continuation as described in the general instructions 1-8.) given below
The fixed point curves from Figs. 4 and 5 can be obtained as follows:
1.) open file with XPPAUT 2.) run simulation twice to make sure the system is in its fixed point: click "Initialconds" + "(G)o"; "Initialconds" + "(L)ast" (keyboard shortcuts: "I" + "G", "I" + “L") 3.) open AUTO interface: click "File" + "Auto" (keyboard shortcut: "F" + “A") 4.) run 'forward' fixed point continuation: click "Run" + "Steady state" (keyboard shortcut: "R" + “S") 5.) grab point to start 'backward' continuation if desired: click “Grab”, then navigate along the curve with "tab” key, press "enter" to choose point 6.) set continuation step size to negative: click "Numerics” and change 'Ds:0.002' to 'Ds:-0.002’, click "Ok" 7.) run backward coninuation by clicking "Run" 8.) save the fixed point curves and bifurcation information: click "File" + "All info”, choose a filename and click "Ok"
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