Draw a spiral like an ellipse

I am trying to draw the following diagram in latex:

enter image description here

I find the following command :

documentclass{article}

usepackage{tikz}

begin{document}



    begin{tikzpicture}

        draw [domain=0:25.1327,variable=t,smooth,samples=75]

              plot ({t r}: {0.002*t*t});

    end{tikzpicture}



end{document}

But it's like a circle.
Can anyone help me?

edited Dec 11 at 6:22

Stefan Pinnow

19.4k83175

asked Dec 10 at 23:37

Mohammad

384

1

Could you please provide with us the equation of that spiral?
– zyy
Dec 11 at 0:11

It's phase plane portrait of differential equations, x'=Ax that A=[matrix 2x2]. for more details please check the link @zyy
– Mohammad
Dec 11 at 0:56

@Mohammad Could you please provide with us the equation of that spiral?
– Andrew
Dec 11 at 1:03

@Andrew This is the formula [formula][1] [1]: chart.googleapis.com/…
– Mohammad
Dec 11 at 1:28

add a comment |

I am trying to draw the following diagram in latex:

enter image description here

I find the following command :

documentclass{article}

usepackage{tikz}

begin{document}



    begin{tikzpicture}

        draw [domain=0:25.1327,variable=t,smooth,samples=75]

              plot ({t r}: {0.002*t*t});

    end{tikzpicture}



end{document}

But it's like a circle.
Can anyone help me?

edited Dec 11 at 6:22

Stefan Pinnow

19.4k83175

asked Dec 10 at 23:37

Mohammad

384

1

Could you please provide with us the equation of that spiral?
– zyy
Dec 11 at 0:11

It's phase plane portrait of differential equations, x'=Ax that A=[matrix 2x2]. for more details please check the link @zyy
– Mohammad
Dec 11 at 0:56

@Mohammad Could you please provide with us the equation of that spiral?
– Andrew
Dec 11 at 1:03

@Andrew This is the formula [formula][1] [1]: chart.googleapis.com/…
– Mohammad
Dec 11 at 1:28

add a comment |

I am trying to draw the following diagram in latex:

enter image description here

I find the following command :

documentclass{article}

usepackage{tikz}

begin{document}



    begin{tikzpicture}

        draw [domain=0:25.1327,variable=t,smooth,samples=75]

              plot ({t r}: {0.002*t*t});

    end{tikzpicture}



end{document}

But it's like a circle.
Can anyone help me?

edited Dec 11 at 6:22

Stefan Pinnow

19.4k83175

asked Dec 10 at 23:37

Mohammad

384

I am trying to draw the following diagram in latex:

enter image description here

I find the following command :

documentclass{article}

usepackage{tikz}

begin{document}



    begin{tikzpicture}

        draw [domain=0:25.1327,variable=t,smooth,samples=75]

              plot ({t r}: {0.002*t*t});

    end{tikzpicture}



end{document}

But it's like a circle.
Can anyone help me?

tikz-pgf

edited Dec 11 at 6:22

Stefan Pinnow

19.4k83175

asked Dec 10 at 23:37

Mohammad

384

edited Dec 11 at 6:22

Stefan Pinnow

19.4k83175

asked Dec 10 at 23:37

Mohammad

384

edited Dec 11 at 6:22

Stefan Pinnow

19.4k83175

edited Dec 11 at 6:22

Stefan Pinnow

19.4k83175

edited Dec 11 at 6:22

Stefan Pinnow

19.4k83175

asked Dec 10 at 23:37

Mohammad

384

asked Dec 10 at 23:37

Mohammad

384

asked Dec 10 at 23:37

Mohammad

384

1

Could you please provide with us the equation of that spiral?
– zyy
Dec 11 at 0:11

It's phase plane portrait of differential equations, x'=Ax that A=[matrix 2x2]. for more details please check the link @zyy
– Mohammad
Dec 11 at 0:56

@Mohammad Could you please provide with us the equation of that spiral?
– Andrew
Dec 11 at 1:03

@Andrew This is the formula [formula][1] [1]: chart.googleapis.com/…
– Mohammad
Dec 11 at 1:28

add a comment |

1

Could you please provide with us the equation of that spiral?
– zyy
Dec 11 at 0:11

It's phase plane portrait of differential equations, x'=Ax that A=[matrix 2x2]. for more details please check the link @zyy
– Mohammad
Dec 11 at 0:56

@Mohammad Could you please provide with us the equation of that spiral?
– Andrew
Dec 11 at 1:03

@Andrew This is the formula [formula][1] [1]: chart.googleapis.com/…
– Mohammad
Dec 11 at 1:28

Could you please provide with us the equation of that spiral?
– zyy
Dec 11 at 0:11

It's phase plane portrait of differential equations, x'=Ax that A=[matrix 2x2]. for more details please check the link @zyy
– Mohammad
Dec 11 at 0:56

@Mohammad Could you please provide with us the equation of that spiral?
– Andrew
Dec 11 at 1:03

@Andrew This is the formula [formula][1] [1]: chart.googleapis.com/…
– Mohammad
Dec 11 at 1:28

add a comment |

2 Answers
2

active

oldest

votes

Your code shows a circular spiral because you punch in a circular spiral. Try e.g.

documentclass{article}

usepackage{tikz}

begin{document}



    begin{tikzpicture}

        draw [rotate=-45]

              plot[domain=0:25.1327,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

enter image description here

And to add the axes and the arrow, you could use

documentclass{article}

usepackage{tikz}

usetikzlibrary{decorations.markings}

begin{document}



    begin{tikzpicture}

        draw[-stealth] (-3,0) -- (3,0) node[below]{$x$};

        draw[-stealth] (0,-3) -- (0,3) node[left]{$y$};

        draw [rotate=-45,postaction=decorate,decoration={markings,

        mark=at position 0.93 with {arrow{latex}}}]

              plot[domain=0:32,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

enter image description here

edited Dec 11 at 2:14

answered Dec 11 at 2:07

marmot

85.1k495179

Thanks a lot for your help
– Mohammad
Dec 11 at 2:19

@Mohammad You're welcome!
– marmot
Dec 11 at 2:20

add a comment |

A PSTricks solution only for comparison and future purposes.

documentclass[pstricks,border=12pt,12pt]{standalone}

usepackage{pst-plot}

begin{document}

pspicture[algebraic,plotpoints=500](-4,-4)(4,4)

    rput{-45}(0,0){psparametricplot[arrows=->]{0}{Pi 15 mul}{t^2*cos(t-Pi/3)/1000|2*t^2*sin(t-Pi/3)/1000}}

endpspicture

end{document}

enter image description here

answered Dec 11 at 7:07

Artificial Stupidity

5,29511039

The quadratic growth is randomly or blindly chosen.
– Artificial Stupidity
Dec 11 at 7:09

Thanks a lot for your help
– Mohammad
Dec 11 at 8:22

add a comment |

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2 Answers
2

active

oldest

votes

2 Answers
2

active

oldest

votes

Your code shows a circular spiral because you punch in a circular spiral. Try e.g.

documentclass{article}

usepackage{tikz}

begin{document}



    begin{tikzpicture}

        draw [rotate=-45]

              plot[domain=0:25.1327,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

enter image description here

And to add the axes and the arrow, you could use

documentclass{article}

usepackage{tikz}

usetikzlibrary{decorations.markings}

begin{document}



    begin{tikzpicture}

        draw[-stealth] (-3,0) -- (3,0) node[below]{$x$};

        draw[-stealth] (0,-3) -- (0,3) node[left]{$y$};

        draw [rotate=-45,postaction=decorate,decoration={markings,

        mark=at position 0.93 with {arrow{latex}}}]

              plot[domain=0:32,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

enter image description here

edited Dec 11 at 2:14

answered Dec 11 at 2:07

marmot

85.1k495179

Thanks a lot for your help
– Mohammad
Dec 11 at 2:19

@Mohammad You're welcome!
– marmot
Dec 11 at 2:20

add a comment |

Your code shows a circular spiral because you punch in a circular spiral. Try e.g.

documentclass{article}

usepackage{tikz}

begin{document}



    begin{tikzpicture}

        draw [rotate=-45]

              plot[domain=0:25.1327,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

enter image description here

And to add the axes and the arrow, you could use

documentclass{article}

usepackage{tikz}

usetikzlibrary{decorations.markings}

begin{document}



    begin{tikzpicture}

        draw[-stealth] (-3,0) -- (3,0) node[below]{$x$};

        draw[-stealth] (0,-3) -- (0,3) node[left]{$y$};

        draw [rotate=-45,postaction=decorate,decoration={markings,

        mark=at position 0.93 with {arrow{latex}}}]

              plot[domain=0:32,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

enter image description here

edited Dec 11 at 2:14

answered Dec 11 at 2:07

marmot

85.1k495179

Thanks a lot for your help
– Mohammad
Dec 11 at 2:19

@Mohammad You're welcome!
– marmot
Dec 11 at 2:20

add a comment |

Your code shows a circular spiral because you punch in a circular spiral. Try e.g.

documentclass{article}

usepackage{tikz}

begin{document}



    begin{tikzpicture}

        draw [rotate=-45]

              plot[domain=0:25.1327,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

enter image description here

And to add the axes and the arrow, you could use

documentclass{article}

usepackage{tikz}

usetikzlibrary{decorations.markings}

begin{document}



    begin{tikzpicture}

        draw[-stealth] (-3,0) -- (3,0) node[below]{$x$};

        draw[-stealth] (0,-3) -- (0,3) node[left]{$y$};

        draw [rotate=-45,postaction=decorate,decoration={markings,

        mark=at position 0.93 with {arrow{latex}}}]

              plot[domain=0:32,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

enter image description here

edited Dec 11 at 2:14

answered Dec 11 at 2:07

marmot

85.1k495179

Your code shows a circular spiral because you punch in a circular spiral. Try e.g.

documentclass{article}

usepackage{tikz}

begin{document}



    begin{tikzpicture}

        draw [rotate=-45]

              plot[domain=0:25.1327,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

enter image description here

And to add the axes and the arrow, you could use

documentclass{article}

usepackage{tikz}

usetikzlibrary{decorations.markings}

begin{document}



    begin{tikzpicture}

        draw[-stealth] (-3,0) -- (3,0) node[below]{$x$};

        draw[-stealth] (0,-3) -- (0,3) node[left]{$y$};

        draw [rotate=-45,postaction=decorate,decoration={markings,

        mark=at position 0.93 with {arrow{latex}}}]

              plot[domain=0:32,variable=t,smooth,samples=75] ({t r}: {0.002*t*t} and {0.004*t*t} );

    end{tikzpicture}



end{document}

enter image description here

edited Dec 11 at 2:14

answered Dec 11 at 2:07

marmot

85.1k495179

edited Dec 11 at 2:14

answered Dec 11 at 2:07

marmot

85.1k495179

answered Dec 11 at 2:07

marmot

85.1k495179

answered Dec 11 at 2:07

marmot

85.1k495179

Thanks a lot for your help
– Mohammad
Dec 11 at 2:19

@Mohammad You're welcome!
– marmot
Dec 11 at 2:20

add a comment |

Thanks a lot for your help
– Mohammad
Dec 11 at 2:19

@Mohammad You're welcome!
– marmot
Dec 11 at 2:20

Thanks a lot for your help
– Mohammad
Dec 11 at 2:19

@Mohammad You're welcome!
– marmot
Dec 11 at 2:20

add a comment |

A PSTricks solution only for comparison and future purposes.

documentclass[pstricks,border=12pt,12pt]{standalone}

usepackage{pst-plot}

begin{document}

pspicture[algebraic,plotpoints=500](-4,-4)(4,4)

    rput{-45}(0,0){psparametricplot[arrows=->]{0}{Pi 15 mul}{t^2*cos(t-Pi/3)/1000|2*t^2*sin(t-Pi/3)/1000}}

endpspicture

end{document}

enter image description here

answered Dec 11 at 7:07

Artificial Stupidity

5,29511039

The quadratic growth is randomly or blindly chosen.
– Artificial Stupidity
Dec 11 at 7:09

Thanks a lot for your help
– Mohammad
Dec 11 at 8:22

add a comment |

A PSTricks solution only for comparison and future purposes.

documentclass[pstricks,border=12pt,12pt]{standalone}

usepackage{pst-plot}

begin{document}

pspicture[algebraic,plotpoints=500](-4,-4)(4,4)

    rput{-45}(0,0){psparametricplot[arrows=->]{0}{Pi 15 mul}{t^2*cos(t-Pi/3)/1000|2*t^2*sin(t-Pi/3)/1000}}

endpspicture

end{document}

enter image description here

answered Dec 11 at 7:07

Artificial Stupidity

5,29511039

The quadratic growth is randomly or blindly chosen.
– Artificial Stupidity
Dec 11 at 7:09

Thanks a lot for your help
– Mohammad
Dec 11 at 8:22

add a comment |

A PSTricks solution only for comparison and future purposes.

documentclass[pstricks,border=12pt,12pt]{standalone}

usepackage{pst-plot}

begin{document}

pspicture[algebraic,plotpoints=500](-4,-4)(4,4)

    rput{-45}(0,0){psparametricplot[arrows=->]{0}{Pi 15 mul}{t^2*cos(t-Pi/3)/1000|2*t^2*sin(t-Pi/3)/1000}}

endpspicture

end{document}

enter image description here

answered Dec 11 at 7:07

Artificial Stupidity

5,29511039

A PSTricks solution only for comparison and future purposes.

documentclass[pstricks,border=12pt,12pt]{standalone}

usepackage{pst-plot}

begin{document}

pspicture[algebraic,plotpoints=500](-4,-4)(4,4)

    rput{-45}(0,0){psparametricplot[arrows=->]{0}{Pi 15 mul}{t^2*cos(t-Pi/3)/1000|2*t^2*sin(t-Pi/3)/1000}}

endpspicture

end{document}

enter image description here

answered Dec 11 at 7:07

Artificial Stupidity

5,29511039

answered Dec 11 at 7:07

Artificial Stupidity

5,29511039

answered Dec 11 at 7:07

Artificial Stupidity

5,29511039

answered Dec 11 at 7:07

Artificial Stupidity

5,29511039

The quadratic growth is randomly or blindly chosen.
– Artificial Stupidity
Dec 11 at 7:09

Thanks a lot for your help
– Mohammad
Dec 11 at 8:22

add a comment |

The quadratic growth is randomly or blindly chosen.
– Artificial Stupidity
Dec 11 at 7:09

Thanks a lot for your help
– Mohammad
Dec 11 at 8:22

The quadratic growth is randomly or blindly chosen.
– Artificial Stupidity
Dec 11 at 7:09

Thanks a lot for your help
– Mohammad
Dec 11 at 8:22

add a comment |

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