A generalized damped mass-spring equation, the Lienard equation, is x + p(x) x + q(x) = O.

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A generalized damped mass-spring equation, the Lienard equation, is x + p(x) x + q(x) = O. If q(0) = 0, q(0) > 0, and p(0) > 0, show that the origin is a stable equilibrium point.

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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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Question Posted: May 26, 2016 06:14 AM

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A generalized damped mass-spring equation, the Lienard equation, is x + p(x) x + q(x) = O.

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x pxx qx 0 Letting x y we obtain the nonlinear system for which the Jacobian is ...View the full answer

Differential Equations and Linear Algebra

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