Hi Yotam,
As a rule of thumb, forward and backward directions respectively stand for increasing and decreasing values of the varying parameter (i.e. the main parameter along which you are continuing the curve, otherwise known as the bifurcation parameter). Yet this might not be always the case.
Cheers,
M
Last edit: Maurizio De Pitta' 2016-05-09
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I do not know how the forward and backward directions are chosen exactly.
However, this might be counter-intuitive but they do not refer to
increasing/decreasing bifurcation parameters. Indeed, when going forward,
the curve might as well go back in the continuation parameters.
For example, if you consider the 3rd figure in this tutorial ( http://www.ni.gsu.edu/~rclewley/PyDSTool/Tutorial/Tutorial_Calcium.html),
the forward direction is going from P1 to P2. First it goes in the
increasing direction of the bifurcation parameter "i" but then it meet the
LP1 singular point and then it goes in the decreasing "i" direction.
As I said, I do not know exactly how it is determined. It is probably bound
to the Jacobian. The developer could answer this question.
If you really want to know how it is determined exactly you can also look
at the code. But in practice you do not really need to. You can start the
computation for a few point and plot the curve. The forward direction is
going from P1 to P2, the backward is going from P2 to P1.
The documentation states that:
which isn't really informative. So how is it determined?
http://www.ni.gsu.edu/~rclewley/PyDSTool/PyCont.html#head-65fb2cd1ee6dd41588855213b1bf58177dbe7fee
Hi Yotam,
As a rule of thumb, forward and backward directions respectively stand for increasing and decreasing values of the varying parameter (i.e. the main parameter along which you are continuing the curve, otherwise known as the bifurcation parameter). Yet this might not be always the case.
Cheers,
M
Last edit: Maurizio De Pitta' 2016-05-09
Only in my model it works the other way arround. Forward takes the parameter towards negative values. I don't know why.
Hi Yotama,
I do not know how the forward and backward directions are chosen exactly.
However, this might be counter-intuitive but they do not refer to
increasing/decreasing bifurcation parameters. Indeed, when going forward,
the curve might as well go back in the continuation parameters.
For example, if you consider the 3rd figure in this tutorial (
http://www.ni.gsu.edu/~rclewley/PyDSTool/Tutorial/Tutorial_Calcium.html),
the forward direction is going from P1 to P2. First it goes in the
increasing direction of the bifurcation parameter "i" but then it meet the
LP1 singular point and then it goes in the decreasing "i" direction.
So there is nothing wrong with your model.
Best,
Florian
2016-05-09 11:01 GMT+02:00 Yotama9 yotama9@users.sf.net:
OK, thanks.
So I just need to guess? Is there a chance it is detemined by the slope?
As I said, I do not know exactly how it is determined. It is probably bound
to the Jacobian. The developer could answer this question.
If you really want to know how it is determined exactly you can also look
at the code. But in practice you do not really need to. You can start the
computation for a few point and plot the curve. The forward direction is
going from P1 to P2, the backward is going from P2 to P1.
2016-05-09 21:02 GMT+02:00 Yotama9 yotama9@users.sf.net: