Van der pols equation use poincare-bendixson to show that
Van der Pol's equation Use Poincare-Bendixson to show that Van der Pol's equation.
x·· + ∈x·(x2-1) + x = 0,
has a limit cycle for any positive value of the constant ∈.
[The method is similar to that used for Rayleigh's equation in Example.]
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a driven non-linear oscillator satisfies the equationxmiddotmiddot isinxmiddot3 x cos ptwhere p are positive
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