Complex Trajectories of a Simple Pendulum

Details Complex Trajectories of a Simple Pendulum Complex Trajectories of a Simple Pendulum

2006-09-25

arxiv.org/abs/math-ph/0609068v1

J.Phys.A40:F81-F90,2007

Physics

Mathematical Physics

11 pages, 12 figures

Scientific paper

10.1088/1751-8113/40/3/F01

The motion of a classical pendulum in a gravitational field of strength g is explored. The complex trajectories as well as the real ones are determined. If g is taken to be imaginary, the Hamiltonian that describes the pendulum becomes PT-symmetric. The classical motion for this PT-symmetric Hamiltonian is examined in detail. The complex motion of this pendulum in the presence of an external periodic forcing term is also studied.

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