Classical Dynamics of Particles and Systems · Problem 3-27

Nonlinear Oscillations and Chaos — Marion & Thornton

Physics — Mechanics · fourier-series

Problem

Show that the Fourier series of Equation 3.89 can be expressed as

F(t) = \frac{1}{2}a_0 + \sum_{n=1}^{\infty} c_n \cos(n\omega t - \phi_n)

Relate the coefficients

c_n

to the

a_n

and

b_n

of Equation 3.90.