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jrieke avatar jrieke commented on July 18, 2024

phase_space

A-D as in #7 (in fact, those are the very same simulation runs).
Black circles are stable equilibria, white circles are instable equlibria and vertical lines are min/max values of the limit cycle (values for these points taken from the bifurcation diagram).

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borismarin avatar borismarin commented on July 18, 2024

Again, the fact that you have another stable equilibrium (before/after
switching on/off the bias, not shown as a black dot) deserves explanation.

On 11 November 2015 at 23:05, Johannes Rieke [email protected]
wrote:

[image: phase_space]
https://cloud.githubusercontent.com/assets/5103165/11105660/a5ac13aa-88d0-11e5-9d17-54d459a517c5.png

A-D as in #7 #7 (in
fact, those are the very same simulation runs).
Black circles are stable equilibria, white circles are instable equlibria
and vertical lines are min/max values of the limit cycle (values for these
points taken from the bifurcation diagram).


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#10 (comment)
.

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jrieke avatar jrieke commented on July 18, 2024

Included a red dot for the rest state and will explain this in the text.
Also, I thought about making a closeup of the lower left region of B (as an extra figure), and put in some arrows that show how the short current pulses push the trajectory from the equilibrium across the separatrix towards the limit cycle and back.

phase_space

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borismarin avatar borismarin commented on July 18, 2024

*unstable, not instable
*rest state IS a stable equilibrium (albeit for a different parameter value)
*separatrix <-> saddle stable manifold

On 12 November 2015 at 18:02, Johannes Rieke [email protected]
wrote:

Included a red dot for the rest state and will explain this in the text.
Also, I thought about making a closeup of the lower left region of B (as
an extra figure), and put in some arrows that show how the short current
pulses push the trajectory from the equilibrium across the separatrix
towards the limit cycle and back.

[image: phase_space]
https://cloud.githubusercontent.com/assets/5103165/11126532/a89ea254-896f-11e5-8301-beb76a9d9e77.png


Reply to this email directly or view it on GitHub
#10 (comment)
.

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jrieke avatar jrieke commented on July 18, 2024

image
Better?

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