LaTeXでトレース決定図を描く

Drawing Trace Determinant Diagram Latex

解決：

％ポアンカレ図：（det A、Tr A）平面の位相ポートの分類％作成者：Gernot Salzer％Douglas R. Hundley、people.whitman.edu / 〜hundledr / courses / M244 / Poincareによる図面に基づく。 pdf  documentclass [border = 1mm] {standalone}  usepackage {tikz}  usetikzlibrary {decorations.markings、arrows}  tikzset {every pin / .style = {pin edge = {= stealth、flow / .style = {decoration = {markings、mark = at position＃1 with { arrow {>}}}、postaction = {decorate}}、flow / .default = 0.5}  newcommand  inlayscale {}  newcommand  inlaycaption [1] {{ sffamily  scriptsize＃1}}  newcommand  newinlay [4] [0.18]％{ renewcommand  inlayscale {＃1}％ newsavebox＃2％ savebox＃2％{ begin {tabular} {@ {} [メール保護] {}}＃4 \ [-1ex]  inlaycaption {＃3} \ [-1ex]  end {tabular}％}％}  newcommand  inlay [1] { usebox {＃1}}  newcommand  Tr { mathop { mathrm {Tr}}}  newinlay  saddle {saddle}％{ begin {tikzpicture} [scale =  inlayscale]  foreach  sx in {+、-} { draw [flow]（  sx4,0）-（0,0）;  draw [flow]（0,0）-（0、 sx4）;  foreach  sy in {+、-}  foreach  a /  b /  c /  d in {2.8 / 0.3 / 0.7 / 0.6,3.9 / 0.4 / 1.3 / 1.1}  draw [flow]（ sx  a、 sy  b）..コントロール（ sx  c、 sy  d）および（ sx  d、 sy  c）..（ sx  b、 sy  a）; }  end {tikzpicture}％}  newinlay  think {sink}％{ begin {tikzpicture} [scale =  inlayscale]  foreach  sx in {+、-} { draw [flow]（ sx4,0） -（0,0）;  draw [flow]（0、 sx4）-（0,0）;  foreach  sy in {+、-}  foreach  a /  b in {1 / 1,3 / 0.44}  draw [flow、domain =  sx  a：0] plot（ x、{ sy  b *  x *  x}）; }  end {tikzpicture}％}  newinlay  source {source}％{ begin {tikzpicture} [scale =  inlayscale]  foreach  sx in {+、-} { draw [flow]（0,0）- -（ sx4,0）;  draw [flow]（0,0）-（0、 sx4）;  foreach  sy in {+、-}  foreach  a /  b in {1 / 1,3 / 0.44}  draw [flow、domain = 0： sx  a] plot（ x、{ sy  b *  x *  x}）; }  end {tikzpicture}％}  newinlay  stablefp {安定した固定小数点の線}％{ begin {tikzpicture} [scale =  inlayscale]  draw（-4,0）-（4,0）;  foreach  s in {+、-} { draw [flow]（0、 s4）-（0,0）;  foreach  x in {-3、-2、-1,1,2,3}  draw [flow]（ x、 s3）-（ x、0）; }  end {tikzpicture}％}  newinlay  unstablefp {不安定な固定小数点の線}％{ begin {tikzpicture} [scale =  inlayscale]  draw（-4,0）-（4,0）;  foreach  s in {+、-} { draw [flow]（0,0）-（0、 s4）;  foreach  x in {-3、-2、-1,1,2,3}  draw [flow]（ x、0）-（ x、 s3）; }  end {tikzpicture}％}  newinlay  spiralsink {spiralsink}％{ begin {tikzpicture} [scale =  inlayscale]  draw（-4,0）-（4,0）;  draw（0、-4）-（0,4）;  draw [samples = 100、smooth、domain = 27：7]プロット（{ x r}：{0.005 *  x *  x}）;  draw [->]（{26 r}：{0.005 * 26 * 26}）-+（0.01、-0.01）;  end {tikzpicture}％}  newinlay  spiralsource {spiral source}％{ begin {tikzpicture} [scale =  inlayscale]  draw（-4,0）-（4,0）;  draw（0、-4）-（0,4）;  draw [samples = 100、smooth、domain = 10：28] plot（{- x r}：{0.005 *  x *  x}）;  draw []（0、-0.3）-（0、4.7）座標（+ y）;  draw [line width = 1pt、->]（-5,0）-（5,0）座標（+ x）​​;  draw [line width = 1pt、domain = -4：4] plot（ x、{0.25 *  x *  x}）;  node at（+ y）[label = {[above、yshift = 0.8cm]％{ sffamily  large Poincar  'e図：$（ det A、 Tr A）$平面の位相ポートの分類}}] {};  node at（+ x）​​[label = {[right、yshift = -0.5ex] $  scriptstyle  Tr A $}] {};  node at（+ y）[label = {[above] $  scriptstyle  det A $}] {};  node at（-4,4）[pin = {[above] $  scriptstyle  Delta = 0 $}] {};  node at（4,4）[pin = {[above、align = left] {％$  scriptstyle  Delta = 0 $：\ $  scriptstyle  det A =  frac {1} {4}（ Tr A）^ 2 $}}] {}; ％インレイ node at（0、-1.4）{ inlay  saddle};  node at（0,1.2）[pin = {[draw、right、xshift = 0.3cm]  inlay  center}] {};  node at（0,0）[pin = {[draw、above left、align = center、xshift = -0.3cm]％ inlaycaption {uniform} \ [-1ex]  inlaycaption {motion}}] {};  node at（-4,1）{ inlay  think};  node at（4,1）{ inlay  source};  node at（-3,0）[pin = {[draw、below、yshift = -1cm]  inlay  stablefp}] {};  node at（3,0）[pin = {[draw、below、yshift = -1cm]  inlay  unstablefp}] {};  node at（-1.8,3.7）{ inlay  spiralsink};  node at（1.8,3.7）{ inlay  spiralsource};  node at（-3.5、{0.25 * 3.5 * 3.5}）[pin = {[draw、left、xshift = -1.15cm、yshift = -0.3cm]  inlay  degensink}] {};  node at（3.5、{0.25 * 3.5 * 3.5}）[pin = {[draw、right、xshift = 0.9cm、yshift = -0.3cm]  inlay  degensource}] {};  end {tikzpicture}  end {document} 
彼の最終的な勝利の答えを投稿する前に、gernotはいくつかの答えを投稿しました。それぞれが最終的な絵の単一のグラフィックコンポーネントを表しています。最終的な回答を投稿すると、彼はコンポーネントの回答を削除しました。

 
 
この回答のために、私はそれらの部分を持ち上げました-gernotの[削除されたので]コンポーネントとOPの質問からの部分は、すべてのコンポーネントが揃ったら、使用できることを示していますおそらく、ベースグラフにそれらをオーバーレイするための stackinset。
 
彼のコンポーネントには、次のMWEで次のように識別されるtikzパーツ螺旋、 spiralB、 degensink、 degensource、 nondegensink、および nondegensource、
 
 
 
 documentclass [10pt] {article}  usepackage {pgf、tikz}  usetikzlibrary {arrows}  usepackage {mathrsfs}  usepackage {amssymb、fancyhdr、txfonts、pxfonts}  pagestyle {empty}  usetikzlibrary {decorations.markings}  usepackage {stackengine}  renewcommand  stacktype {L}  setstackgap {L} {8pt}  begin {document}  savestack  mygraph {％ begin {tikzpicture} [％line cap = round、line join = round、> = triangle 45 、x = 1.0cm、y = 1.0cm％]％ clip（-5.8、-3.58）長方形（5.56,5.64）;  draw [line width = 1.2pt]（0.、4.68）-（0。、-0.74）;  draw [line width = 1.2pt]（-4。、0。）-（4.3,0。）;  draw [thick、domain = -2：2] plot（ x、{ x *  x}）;  draw（3.62、-0.12）node [anchor = north west] {$  mathrm {Tr} 、A $};  draw（-。4,5.1）node [anchor = north west] {$  scriptstyle  det A $};  draw（-2.35,4.7）node [anchor = north west] {％ stackunder {$  scriptstyle  Delta = 0 $} {$  downarrow $}};  draw（1.08,5.1）node [anchor = north west] { ensurestackMath { stackunder [11pt] {％ Longstack [l] { scriptstyle  Delta = 0： scriptstyle  det A =  frac {1} { 4}（％ mathrm {Tr} A）^ 2}} { downarrow}}};  draw（1。、-1。）-（-1。、-3。）;  draw（-1。、-1。）-（1。、-3。）;  draw [dash pattern = on 2pt off 2pt]（-1。、-2。）-（1。、-2。）;  draw [dash pattern = on 2pt off 2pt]（0。、-1。）-（0。、-3。）;  end {tikzpicture}％}  savestack  spiralA {％ begin {tikzpicture} [decoration = {markings、mark = at position 0.1 with { arrow {stealth}}}、scale = 0.5]  draw（-4,0 ）-（4,0）;  draw（0、-4）-（0,4）;  draw [postaction = {decorate}、domain = 27：7、variable =  t、smooth、samples = 100] plot（{ t r}：{0.005 *  t *  t}）;  end {tikzpicture}％}  savestack  spiralB {％ begin {tikzpicture} [decoration = {markings、mark = at position 0.99 with { arrow {stealth}}}、scale = 0.5]  draw（-4,0 ）-（4,0）;  draw（0、-4）-（0,4）;  draw [postaction = {decorate}、domain = 10：28.5、variable =  t、smooth、samples = 100] plot（{- t r}：{0.005 *  t *  t}）;  end {tikzpicture}}  savestack  degensink {％ begin {tikzpicture} [decoration = {markings、mark = at position 0.5 with { arrow {stealth}}}、scale = 0.5]  draw（0、-4） -（0,4）;  draw [postaction = {decorate}]（-4,0）-（0,0）;  draw [postaction = {decorate}]（4,0）-（0,0）;  draw [postaction = {decorate}]（-3.5,3.5）..コントロール（4,1.5）および（4,1）..（0,0）;  draw [postaction = {decorate}]（3.5、-3.5）..コントロール（-4、-1.5）および（-4、-1）..（0,0）;  draw [postaction = {decorate}]（-3.5,2.5）..コントロール（2,1）および（2,0.8）..（0,0）;  draw [postaction = {decorate}]（3.5、-2.5）..コントロール（-2、-1）および（-2、-0.8）..（0,0）;  end {tikzpicture}％}  savestack  degensource {％ begin {tikzpicture} [decoration = {markings、mark = at position 0.5 with { arrow {stealth}}}、scale = 0.5]  draw（0、-4 ）-（0,4）;  draw [postaction = {decorate}]（0,0）-（-4,0）;  draw [postaction = {decorate}]（0,0）-（4,0）;  draw [postaction = {decorate}]（0,0）..コントロール（4,1.5）および（4,1）..（-3.5,3.5）;  draw [postaction = {decorate}]（0,0）..コントロール（-4、-1.5）および（-4、-1）..（3.5、-3.5）;  draw [postaction = {decorate}]（0,0）..コントロール（2,1）および（2,0.8）..（-3.5,2.5）;  draw [postaction = {decorate}]（0,0）..コントロール（-2、-1）および（-2、-0.8）..（3.5、-2.5）;  end {tikzpicture}％}  savestack  nondegensink {％ begin {tikzpicture} [decoration = {markings、mark = at position 0.5 with { arrow {stealth}}}、scale = 0.5、plotsettings / .style = {postaction = {decorate}}]  draw [postaction = {decorate}]（0、-4）-（0,0）;  draw [postaction = {decorate}]（0,4）-（0,0）;  draw [postaction = {decorate}]（-4,0）-（0,0）;  draw [postaction = {decorate}]（4,0）-（0,0）;  draw [plotsettings、domain = -2：0] plot（ x、{ x *  x}）;  draw [plotsettings、domain = 0：2] plot（ x、{ x *  x}）;  draw [plotsettings、domain = -2：0] plot（ x、{- x *  x}）;  draw [plotsettings、domain = 0：2] plot（ x、{- x *  x}）;  draw [plotsettings、domain = -3：0] plot（ x、{0.44 *  x *  x}）;  draw [plotsettings、domain = 0：3] plot（ x、{0.44 *  x *  x}）;  draw [plotsettings、domain = -3：0] plot（ x、{-0.44 *  x *  x}）;  draw [plotsettings、domain = 0：3] plot（ x、{-0.44 *  x *  x}）;  end {tikzpicture}％}  savestack  nondegensource {％ begin {tikzpicture} [decoration = {markings、mark = at position 0.5 with { arrow {stealth}}}、scale = 0.5、plotsettings / .style = {postaction = {decorate}}]  draw [postaction = {decorate}]（0,0）-（-4,0）;  draw [postaction = {decorate}]（0,0）-（4,0）;  draw [postaction = {decorate}]（0,0）-（0、-4）;  draw [postaction = {decorate}]（0,0）-（0,4）;  draw [plotsettings、domain = 0：-2] plot（ x、{ x *  x}）;  draw [plotsettings、domain = 2：0] plot（ x、{ x *  x}）;  draw [plotsettings、domain = 0：-2] plot（ x、{- x *  x}）;  draw [plotsettings、domain = 2：0] plot（ x、{- x *  x}）;  draw [plotsettings、domain = 0：-3] plot（ x、{0.44 *  x *  x}）;  draw [plotsettings、domain = 3：0] plot（ x、{0.44 *  x *  x}）;  draw [plotsettings、domain = 0：-3] plot（ x、{-0.44 *  x *  x}）;  draw [plotsettings、domain = 3：0] plot（ x、{-0.44 *  x *  x}）;  end {tikzpicture}％}  stackinset {c} {-55pt} {c} {2pt} { stackunder [24pt] {$  vcenter { hbox { scalebox {.3} {％ nondegensink}}} $ } { scriptsize  Longunderstack [l] {sink}}％} {％ stackinset {c} {60pt} {c} {2pt} { stackunder [24pt] {$  vcenter { hbox { scalebox {.3 } {％ nondegensource}}} $} { scriptsize  Longunderstack [l] {source}}％} {％ stackinset {c} {-71pt} {c} {56pt} { stackunder [24pt] {$  vcenter { hbox { scalebox {.3} {％ fbox { degensink}}}} $} { scriptsize  Longunderstack [l] {degenerateシンク}}％$ ！ rightarrow $} {％ stackinset { c} {78pt} {c} {56pt} {$  leftarrow ！$％ stackunder [24pt] {$  vcenter { hbox { scalebox {.3} {％ fbox { degensink}}}} $ } { scriptsize  Longunderstack [r] {degenerate source}}％} {％ stackinset {c} {-20pt} {c} {62pt} { stackunder { scalebox {.35} { spiralA}} {％  scriptsizeスパイラルシンク}} {％ stackinset {c} {27pt} {c} {62pt} { stackunder { scalebox {.35} { spiralB}} {％ scriptsizespiral source}} {％ mygraph％ }}}}}}  end {document}