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diff --git a/27/CH2/EX2.7.1/Example_2_7_1.sce b/27/CH2/EX2.7.1/Example_2_7_1.sce new file mode 100755 index 000000000..216610a0c --- /dev/null +++ b/27/CH2/EX2.7.1/Example_2_7_1.sce @@ -0,0 +1,30 @@ +//Example 2.7.1 Page 31
+//Non-Linear Dynamics and Chaos, First Indian Edition Print 2007
+//Steven H. Strogatz
+
+clear;
+clc;
+close;
+set(gca(),"auto_clear","off") //hold on
+
+//x(dot) = f(x) = -x
+// On Integrating we get V(x) = (1/2)x^2 + C ; C = 0.
+
+//Now, Plotting the potential i.e. V(x)
+
+for x = -5:0.5:5
+ V = (1/2)*x^2;
+ plot2d(x,V,style=-2)
+end
+plot2d(0,0,style=-4) //Just to show that the fixed point is Stable.
+set(gca(),"grid",[2,5])
+xtitle("Potential Diagram","x-Axis(x)","y-Axis (V(x))")
+
+disp("From graph of V(x) v/s x itself, it is clear that :-")
+disp("The only equilibrium point is at x=0")
+disp(" And from the flow we can conclude that the x*=0 point is Stable.")
+
+disp("OR")
+disp("f(dot)(x) = -1 for all x; Thus every equilibrium point which exists is Stable.")
+
+//End of Example.
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