"[Edward R.] Dewey, one of the pioneers of cyclic analysis, with Og Mandino [wrote a book] titled Cycles: The Mysterious Forces That Trigger Events. Thousands of seemingly unrelated cycles were isolated spanning hundreds, and in some cases, thousands of years."
"In 1941, Dewey organized the Foundation for the Study of Cycles (900 W. Valley Rd., Suite 502, Wayne PA 19087). It is the oldest organization engaged in cycles research and the recognized leader in the field."
Cycles may be due to restorative forces causing repetition as in simple harmonic motion, regularity of motion such as daily, monthly, yearly, and other astronomical cycles, or being affected by something else that has these qualities.
Pythagoras' study of music and Ptolemy's motion of the planets were early scientific studies of cycles; see also interval cycle and song cycle.
Our understanding of weather cycles being attributable to annual and monthly astronomical motions was extended by Milutin Milankovitch who showed that ice ages were closely related to variations in the Earth's orbital eccentricity, axial tilt and the precession of the equinoxes which have periods of around 100,000 years, 40,000 years and 26,000 years respectively.