The differential equation governing the motion of a nonlinear system is [ddot{x}-x+0.1 x^{3}=0] (a) Determine the equilibrium

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The differential equation governing the motion of a nonlinear system is

\[\ddot{x}-x+0.1 x^{3}=0\]

(a) Determine the equilibrium points.

(b) Classify the equilibrium points and determine their stability.

(c) Sketch a trajectory in the phase plane corresponding to each equilibrium point.

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Mechanical Vibrations Theory And Applications

ISBN: 120532

1st Edition

Authors: S. GRAHAM KELLY

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Question Posted: Apr 28, 2024 05:02 AM

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The differential equation governing the motion of a nonlinear system is [ddot{x}-x+0.1 x^{3}=0] (a) Determine the equilibrium

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Mechanical Vibrations Theory And Applications

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