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Question: Graph for stability analysis

Question:Graph for stability analysis

Sofey 10 Maple 13
complexplot
May 01 2015
1


can anybody help me..? why my graph not come out? Is that any mistake in my coding?

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restart
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y := x^2-x*(exp(I*k*`Δx`)+exp(-I*k*`Δx`)-m^2+m^2*((4*((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3))*((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3)*((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3))*((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3)/(epsilon*((((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3)*((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3))*((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3+((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3))+(((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3)*((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3))*((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3+((1^2-2)*cosh(1+1)-4*sinh(1+1)+1^6*cosh(1+1)^3)))))+1;

x^2-x*(exp(I*k*`Δx`)+exp(-I*k*`Δx`)-m^2+2*m^2*(-cosh(2)-4*sinh(2)+cosh(2)^3)^2/(epsilon*(-2*cosh(2)-8*sinh(2)+2*cosh(2)^3)))+1

 (1)
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subs(m = 1-exp(-m), %);

x^2-x*(exp(I*k*`Δx`)+exp(-I*k*`Δx`)-(1-exp(-m))^2+2*(1-exp(-m))^2*(-cosh(2)-4*sinh(2)+cosh(2)^3)^2/(epsilon*(-2*cosh(2)-8*sinh(2)+2*cosh(2)^3)))+1

 (2)
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subs(epsilon = .17882484, %);

x^2-x*(exp(I*k*`Δx`)+exp(-I*k*`Δx`)-(1-exp(-m))^2+11.18412856*(1-exp(-m))^2*(-cosh(2)-4*sinh(2)+cosh(2)^3)^2/(-2*cosh(2)-8*sinh(2)+2*cosh(2)^3))+1

 (3)
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subs(k = n*Pi, %);

x^2-x*(exp(I*n*Pi*`Δx`)+exp(-I*n*Pi*`Δx`)-(1-exp(-m))^2+11.18412856*(1-exp(-m))^2*(-cosh(2)-4*sinh(2)+cosh(2)^3)^2/(-2*cosh(2)-8*sinh(2)+2*cosh(2)^3))+1

 (4)
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subs(`Δx` = m, %);

x^2-x*(exp(I*n*Pi*m)+exp(-I*n*Pi*m)-(1-exp(-m))^2+11.18412856*(1-exp(-m))^2*(-cosh(2)-4*sinh(2)+cosh(2)^3)^2/(-2*cosh(2)-8*sinh(2)+2*cosh(2)^3))+1

 (5)
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subs(m = 0.1e-2, %);

x^2-x*(exp((0.1e-2*I)*n*Pi)+exp(-(0.1e-2*I)*n*Pi)-(1-exp(-0.1e-2))^2+11.18412856*(1-exp(-0.1e-2))^2*(-cosh(2)-4*sinh(2)+cosh(2)^3)^2/(-2*cosh(2)-8*sinh(2)+2*cosh(2)^3))+1

 (6)
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j := subs(n = 1, %);

x^2-x*(exp((0.1e-2*I)*Pi)+exp(-(0.1e-2*I)*Pi)-0.9990006498e-6+0.1117295170e-4*(-cosh(2)-4*sinh(2)+cosh(2)^3)^2/(-2*cosh(2)-8*sinh(2)+2*cosh(2)^3))+1

 (7)
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complexplot3d(x*j, x = -2-I .. 2+I);````

complexplot3d(x*(x^2-x*(exp((0.1e-2*I)*Pi)+exp(-(0.1e-2*I)*Pi)-0.9990006498e-6+0.1117295170e-4*(-cosh(2)-4*sinh(2)+cosh(2)^3)^2/(-2*cosh(2)-8*sinh(2)+2*cosh(2)^3))+1), x = -2-I .. 2+I)

 (8)
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a := fsolve(x*j, x);

0., .9865070072, 1.013677544

 (9)
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b := fsolve(x*j, x = 1);

0., .9865070072, 1.013677544

 (10)
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with(plots):
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complexplot({a, b}, numpoints = 100, color = green, filled = true, title = "Stability Region");

 
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