Classical Dynamics of Particles and Systems · Problem 4-10

Gravitation — Marion & Thornton

Physics — Mechanics · driven-damped-pendulum-chaos

Problem

The parameters

F = 0.7

and

c = 0.05

are fixed for Equation 4.43 describing the driven, damped pendulum. Determine which of the values for

\omega

(0.1, 0.2, 0.3,

\ldots

, 1.5) produce chaotic motion. Produce a phase plot for

\omega = 0.3

. Do this problem numerically.