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  2. Floquet theory - Wikipedia

    en.wikipedia.org/wiki/Floquet_theory

    Floquet theory shows stability in Hill differential equation (introduced by George William Hill) approximating the motion of the moon as a harmonic oscillator in a periodic gravitational field. Bond softening and bond hardening in intense laser fields can be described in terms of solutions obtained from the Floquet theorem.

  3. File:The Periodic Table of the Elements in Pictures.pdf

    en.wikipedia.org/wiki/File:The_Periodic_Table_of...

    English: This pictorial periodic table is colorful, boring, and packed with information. In addition to the element's name, symbol, and atomic number, each element box has a drawing of one of the element's main human uses or natural occurrences.

  4. Periodic function - Wikipedia

    en.wikipedia.org/wiki/Periodic_function

    Periodic motion is motion in which the position(s) of the system are expressible as periodic functions, all with the same period. For a function on the real numbers or on the integers , that means that the entire graph can be formed from copies of one particular portion, repeated at regular intervals.

  5. Simple harmonic motion - Wikipedia

    en.wikipedia.org/wiki/Simple_harmonic_motion

    Thus simple harmonic motion is a type of periodic motion. If energy is lost in the system, then the mass exhibits damped oscillation. Note if the real space and phase space plot are not co-linear, the phase space motion becomes elliptical. The area enclosed depends on the amplitude and the maximum momentum.

  6. Periodic travelling wave - Wikipedia

    en.wikipedia.org/wiki/Periodic_travelling_wave

    While periodic travelling waves have been known as solutions of the wave equation since the 18th century, their study in nonlinear systems began in the 1970s. A key early research paper was that of Nancy Kopell and Lou Howard [1] which proved several fundamental results on periodic travelling waves in reaction–diffusion equations.

  7. Euler's three-body problem - Wikipedia

    en.wikipedia.org/wiki/Euler's_three-body_problem

    The problem of two fixed centers conserves energy; in other words, the total energy is a constant of motion.The potential energy is given by =where represents the particle's position, and and are the distances between the particle and the centers of force; and are constants that measure the strength of the first and second forces, respectively.

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