洛伦兹系统

GeoGebra 命令及参数

1. Textfield(A0) → InputBox5
2. Textfield(B0) → InputBox6
3. Textfield(β) → InputBox1
4. Textfield(σ) → InputBox2
5. Textfield(ρ) → InputBox3
6. Textfield(tmax) → InputBox4
7. NSolveODE({x', y', z'}, 0, {x(A0), y(A0), z(A0)}, tmax) → numericalIntegral1, numericalIntegral2, numericalIntegral3
8. Length(numericalIntegral1) → len
9. NSolveODE({x', y', z'}, 0, {x(B0), y(B0), z(B0)}, tmax) → numericalIntegral4, numericalIntegral5, numericalIntegral6
10. Sequence((y(Point[numericalIntegral1, i]), y(Point[numericalIntegral2, i]), y(Point[numericalIntegral3, i])), i, 0, 1, 1 / len) → LA
11. Element(LA, (n * len) + 1) → At
12. Sequence((y(Point[numericalIntegral4, i]), y(Point[numericalIntegral5, i]), y(Point[numericalIntegral6, i])), i, 0, 1, 1 / len) → LB
13. Element(LB, (n * len) + 1) → Bt
14. Point({t, x(At)}) → xA
15. Point({t, y(At)}) → yA
16. Point({t, z(At)}) → zA
17. Point({t, x(Bt)}) → xB
18. Point({t, y(Bt)}) → yB
19. Point({t, z(Bt)}) → zB
20. Sequence(Segment[Element[LA, j], Element[LA, j + 1]], j, 1, len) → LAconnected
21. Sequence(Segment[Element[LB, j], Element[LB, j + 1]], j, 1, len) → LBconnected