XPP: how do I plot with something that is not a variable
$begingroup$
I am investigating the motion of a robot with regards to four variables.
Here is the code for my system:
$$p'=dot{p}$$
$$dot{p}'=
frac{2 Nwa (Npa_{1}-dot{p})}{1+exp(kd q^2)}
+
frac{2 Nwb (Npb_{1}-dot{p})}{1+exp(kd r^2)}$$
$$Nwa'=ks left((A Nwa)^3+
frac{B Nwa^2}{1+K q}+C Nwaright)$$
$$Nwb'=ks left((A Nwb)^3+
frac{B Nwb^2}{1+K r}+C Nwbright)$$
$$x_{1}=dot{p}$$
$$x_{2}=exp(-p^2)$$
$$q=((Npa_{1}-x_{1})^2+(Npa_{2}-x_{2})^2)^{frac{1}{2}}$$
$$r=((Npb_{1}-x_{1})^2+(Npb_{2}-x_{2})^2)^{frac{1}{2}}$$
(plus variable and initial conditions)
My code works fine and shows the system correctly.
However, I want to work with $xpp$ plotting $dot{p}$ on the $x$ axis (this is fine) and $x_{2}$ on the $y$ axis. It was not let me do this (I'm guessing because $x_{2}$ is not a variable even though it is defined in terms of a variable?) Do you have any advice on how to work around this.
Thanks for your help :)
dynamical-systems
edited Dec 8 '18 at 2:11
dantopa
6,60442245
asked Dec 7 '18 at 11:30
IsabelleIsabelle
1
$endgroup$
add a comment |
$begingroup$
I am investigating the motion of a robot with regards to four variables.
Here is the code for my system:
$$p'=dot{p}$$
$$dot{p}'=
frac{2 Nwa (Npa_{1}-dot{p})}{1+exp(kd q^2)}
+
frac{2 Nwb (Npb_{1}-dot{p})}{1+exp(kd r^2)}$$
$$Nwa'=ks left((A Nwa)^3+
frac{B Nwa^2}{1+K q}+C Nwaright)$$
$$Nwb'=ks left((A Nwb)^3+
frac{B Nwb^2}{1+K r}+C Nwbright)$$
$$x_{1}=dot{p}$$
$$x_{2}=exp(-p^2)$$
$$q=((Npa_{1}-x_{1})^2+(Npa_{2}-x_{2})^2)^{frac{1}{2}}$$
$$r=((Npb_{1}-x_{1})^2+(Npb_{2}-x_{2})^2)^{frac{1}{2}}$$
(plus variable and initial conditions)
My code works fine and shows the system correctly.
However, I want to work with $xpp$ plotting $dot{p}$ on the $x$ axis (this is fine) and $x_{2}$ on the $y$ axis. It was not let me do this (I'm guessing because $x_{2}$ is not a variable even though it is defined in terms of a variable?) Do you have any advice on how to work around this.
Thanks for your help :)
dynamical-systems
edited Dec 8 '18 at 2:11
dantopa
6,60442245
asked Dec 7 '18 at 11:30
IsabelleIsabelle
1
$endgroup$
$begingroup$
Welcome the Mathematics StackExchange! Please use MathJax to typeset your equations. A guide can be found here: math.meta.stackexchange.com/questions/5020/…
$endgroup$
– dantopa
Dec 8 '18 at 2:12
add a comment |
$begingroup$
I am investigating the motion of a robot with regards to four variables.
Here is the code for my system:
$$p'=dot{p}$$
$$dot{p}'=
frac{2 Nwa (Npa_{1}-dot{p})}{1+exp(kd q^2)}
+
frac{2 Nwb (Npb_{1}-dot{p})}{1+exp(kd r^2)}$$
$$Nwa'=ks left((A Nwa)^3+
frac{B Nwa^2}{1+K q}+C Nwaright)$$
$$Nwb'=ks left((A Nwb)^3+
frac{B Nwb^2}{1+K r}+C Nwbright)$$
$$x_{1}=dot{p}$$
$$x_{2}=exp(-p^2)$$
$$q=((Npa_{1}-x_{1})^2+(Npa_{2}-x_{2})^2)^{frac{1}{2}}$$
$$r=((Npb_{1}-x_{1})^2+(Npb_{2}-x_{2})^2)^{frac{1}{2}}$$
(plus variable and initial conditions)
My code works fine and shows the system correctly.
However, I want to work with $xpp$ plotting $dot{p}$ on the $x$ axis (this is fine) and $x_{2}$ on the $y$ axis. It was not let me do this (I'm guessing because $x_{2}$ is not a variable even though it is defined in terms of a variable?) Do you have any advice on how to work around this.
Thanks for your help :)
dynamical-systems
edited Dec 8 '18 at 2:11
dantopa
6,60442245
asked Dec 7 '18 at 11:30
IsabelleIsabelle
1
$endgroup$
I am investigating the motion of a robot with regards to four variables.
Here is the code for my system:
$$p'=dot{p}$$
$$dot{p}'=
frac{2 Nwa (Npa_{1}-dot{p})}{1+exp(kd q^2)}
+
frac{2 Nwb (Npb_{1}-dot{p})}{1+exp(kd r^2)}$$
$$Nwa'=ks left((A Nwa)^3+
frac{B Nwa^2}{1+K q}+C Nwaright)$$
$$Nwb'=ks left((A Nwb)^3+
frac{B Nwb^2}{1+K r}+C Nwbright)$$
$$x_{1}=dot{p}$$
$$x_{2}=exp(-p^2)$$
$$q=((Npa_{1}-x_{1})^2+(Npa_{2}-x_{2})^2)^{frac{1}{2}}$$
$$r=((Npb_{1}-x_{1})^2+(Npb_{2}-x_{2})^2)^{frac{1}{2}}$$
(plus variable and initial conditions)
My code works fine and shows the system correctly.
However, I want to work with $xpp$ plotting $dot{p}$ on the $x$ axis (this is fine) and $x_{2}$ on the $y$ axis. It was not let me do this (I'm guessing because $x_{2}$ is not a variable even though it is defined in terms of a variable?) Do you have any advice on how to work around this.
Thanks for your help :)
dynamical-systems
dynamical-systems
edited Dec 8 '18 at 2:11
dantopa
6,60442245
asked Dec 7 '18 at 11:30
IsabelleIsabelle
1
edited Dec 8 '18 at 2:11
dantopa
6,60442245
asked Dec 7 '18 at 11:30
IsabelleIsabelle
1
edited Dec 8 '18 at 2:11
dantopa
6,60442245
edited Dec 8 '18 at 2:11
dantopa
6,60442245
edited Dec 8 '18 at 2:11
dantopa
6,60442245
6,60442245
asked Dec 7 '18 at 11:30
IsabelleIsabelle
1
asked Dec 7 '18 at 11:30
IsabelleIsabelle
1
asked Dec 7 '18 at 11:30
IsabelleIsabelle
1
1
$begingroup$
Welcome the Mathematics StackExchange! Please use MathJax to typeset your equations. A guide can be found here: math.meta.stackexchange.com/questions/5020/…
$endgroup$
– dantopa
Dec 8 '18 at 2:12
add a comment |
$begingroup$
Welcome the Mathematics StackExchange! Please use MathJax to typeset your equations. A guide can be found here: math.meta.stackexchange.com/questions/5020/…
$endgroup$
– dantopa
Dec 8 '18 at 2:12
$begingroup$
Welcome the Mathematics StackExchange! Please use MathJax to typeset your equations. A guide can be found here: math.meta.stackexchange.com/questions/5020/…
$endgroup$
– dantopa
Dec 8 '18 at 2:12
$begingroup$
Welcome the Mathematics StackExchange! Please use MathJax to typeset your equations. A guide can be found here: math.meta.stackexchange.com/questions/5020/…
$endgroup$
– dantopa
Dec 8 '18 at 2:12
add a comment |
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Welcome the Mathematics StackExchange! Please use MathJax to typeset your equations. A guide can be found here: math.meta.stackexchange.com/questions/5020/…
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– dantopa
Dec 8 '18 at 2:12