Does it give rise to periodic motion in the (very) long term?

A periodic motion is a closed curve in phase space.

Thus simple harmonic motion is a type of periodic motion.

The stable compounds are made of constituents that have a regular, periodic motion relative to one another.

The rate as which periodic motion repeats itself.

The textbook example of a periodic motion is the undamped pendulum.

Periodic events and periodic motion have long served as standards for units of time.

The periodic motions that are the hallmarks of classical mechanics give way to chaotic motion.

The aim is to determine how this periodic motion affects the formation of secondary eddies.

Reappearance of periodic motion has been observed in rotating Couette flow.

For example, it may go from having only periodic motions to apparently erratic behavior, as in the transition to turbulence of a fluid.

The system can be in a state of either periodic motion or chaotic motion before it goes to amplitude death.

Experiments include the use of air tracks to study acceleration, collisions, dissipative forces, and periodic motion.

Imaging in the presence of periodic motions.

Here are some pictures of some models that can be used to reinforce student's concepts of periodic motion.

Theoretical astronomy by and large has concentrated upon analyzing the apparently complex but periodic motions of celestial objects.

If we assume that there is periodic motion, the boundary term in the integral by parts disappears:

This vibration sets the air column in the instrument in rapid periodic motion, creating sound.

Hum usually refers to humming, a sound produced with closed lips, or by insects, or other periodic motion.

A more rigorous derivation, which does not require periodic motion, was found using an Effective Field Theory formulation.

Periodic motion is motion in which the position(s) of the system are expressible as periodic functions, all with the same period.

The natural frequency mode tends to be around 1 Hz, leading the often graceful periodic motion to also be known as conductor dancing.

Self-oscillation is the generation and maintenance of a periodic motion by a source of power that lacks any corresponding periodicity.

Here is a diagonal matrix of integers that serves as an index of these periodic motions of the second kind.

The first step in writing an implicit system for a periodic motion is to move the period from the boundary conditions to the ODE: