Driven nonlinear oscillators do not need to oscillate at the driving frequency. Consider the driven quartic oscillator where m, k, F, and ω d are constants. Show that x(t) = A cos ωt is a solution to this equation if (1) ω = ω d /3 and (2) F ∝ .

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Navjyot Kalra · Answer

The acceleration a is defined as,

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Driven nonlinear oscillators do not need to oscillate at the driving frequency. Consider the driven quartic oscillator where m, k, F, and ω d are constants. Show that x(t) = A cos ωt is a solution to this equation if (1) ω = ω d /3 and (2) F ∝ .

Driven nonlinear oscillators do not need to oscillate at the driving frequency. Consider the driven quartic oscillator
where m, k, F, and ω_d are constants. Show that x(t) = A cos ωt is a solution to this equation if (1) ω = ω_d/3 and (2) F ∝ .

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Driven nonlinear oscillators do not need to oscillate at the driving frequency. Consider the driven quartic oscillator where m, k, F, and ω d are constants. Show that x(t) = A cos ωt is a solution to this equation if (1) ω = ω d /3 and (2) F ∝ .

Driven nonlinear oscillators do not need to oscillate at the driving frequency. Consider the driven quartic oscillatorwhere m, k, F, and ωd are constants. Show that x(t) = A cos ωt is a solution to this equation if (1) ω = ωd/3 and (2) F ∝ .

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Driven nonlinear oscillators do not need to oscillate at the driving frequency. Consider the driven quartic oscillator
where m, k, F, and ω_d are constants. Show that x(t) = A cos ωt is a solution to this equation if (1) ω = ω_d/3 and (2) F ∝ .