# Phase Space Trajectories of a 1D Anharmonic Oscillator

Phase Space Trajectories of a 1D Anharmonic Oscillator

Anharmonic oscillators show a large variety of behaviors, typically nonperiodic. Changing the nonlinearity parameters of the force and the damping, as well as changing the external force, creates a large variety of phase space plots. Phase space trajectories of a one-dimensional anharmonic oscillator can be described by , .

x'(t)=v(t)

α+β+v'(t)=γcos(ωt)

a

v(t)

b

x(t)