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Chapter 5: Q13E (page 304)

Redo Problem 12 with F = 0.31. What kind of behavior does the solution exhibit?

Short Answer

Expert verified

By using the software, the Poincare maps are plotted and it shows chaotic behavior.

Step by step solution

01

Sketch the Poincare map

Here the equation of (7) is:

\({\bf{x''(t) + bx' - x(t) + }}{{\bf{x}}^{\bf{3}}}{\bf{ = Fsin\gamma t}}\)

Put the given values when b = 0.3, \({\bf{\gamma }}\)= 1.2, and F=0.31

02

Sketch

Draw the graph using the given information.

Thus, the Poincare maps are plotted and it shows chaotic behavior.

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