feat: ✨ Add Lu Chen attractor

README.md

@@ -28,12 +28,12 @@ A web application for visualizing strange attractors using TresJS.
   \dot{z} &= \sin(x) - \beta z \\
   \end{aligned}
   $$
-- [ ] Aizawa Attractor ($\alpha = 0.095, \beta = 0.7, \gamma = 0.65, \delta = 3.5, \varepsilon = 0.1$)
+- [x] Lu Chen Attractor ($\alpha = 36, \beta = 3, \gamma = 20, \upsilon = -15.15$)
   $$
   \begin{aligned}
-  \dot{x} &= (z - \beta)x - \delta y \\
-  \dot{y} &= \delta x + (z - \beta)y \\
-  \dot{z} &= \gamma + \alpha z - \frac{z^3}{3} + \varepsilon z x^3 \\
+  \dot{x} &= \alpha(y - x) \\
+  \dot{y} &= x(1 - z) + \gamma y + \upsilon \\
+  \dot{z} &= x y - \beta z \\
   \end{aligned}
   $$
 

components/Sidebar.vue

@@ -167,6 +167,10 @@ const attractors: { value: nameAttractor; label: string }[] = [
     value: "thomas",
     label: "Thomas",
   },
+  {
+    value: "luchen",
+    label: "Lu Chen",
+  },
 ];
 const selectedAttractor = useState(
   "choiceAttractor",

utils/AttractorFactory.ts

@@ -8,6 +8,8 @@ export function getAttractor(name: nameAttractor): Attractor {
       return rosslerAttractor();
     case "thomas":
       return thomasAttractor();
+    case "luchen":
+      return luChenAttractor();
     default:
       return lorenzAttractor();
   }
@@ -40,3 +42,16 @@ function thomasAttractor(beta: number = 0.208186): Attractor {
     -beta * z + Math.sin(x),
   ];
 }
+
+function luChenAttractor(
+  a: number = 36,
+  b: number = 3,
+  c: number = 20,
+  u: number = -15.15,
+): Attractor {
+  return ([x, y, z]: Vec3D) => [
+    a * (y - x),
+    (1 - z) * x + c * y + u,
+    x * y - b * z,
+  ];
+}

utils/types.ts

@@ -1,3 +1,3 @@
 export type Vec3D = [number, number, number];
 export type Attractor = (x: Vec3D) => Vec3D;
-export type nameAttractor = "lorenz" | "rossler" | "thomas";
+export type nameAttractor = "lorenz" | "rossler" | "thomas" | "luchen";