'cyclical dynamics' is correct and usable in written English.
You can use it to refer to a system or process which is characterized by repeating cycles, usually of activity or behavior. For example, "The economic cycle of boom and bust is an example of cyclical dynamics."
Although technology and fiscal policy shocks explain a significant fraction of the cyclical dynamics of earnings inequality, most of the short-run movements are not predictable.
If the economy develops, its long-run dynamics are relatively smooth and monotonous: the employment share of services grows and/or the agricultural share shrinks; the manufacturing employment share may exhibit any sort of (smooth and) monotonous or non-monotonous dynamics (e.g., the 'hump-shaped' dynamics described by Law/Regularity 5 or transitory cyclical dynamics).
The wise rabbis and biblical writers noticed these cyclical dynamics and established a 10-day period following Rosh Hashanah dedicated to atonement.
A previous model of schistosome dynamics showed that density-dependent regulation of the intermediate host (snail) population could allow such cyclical dynamics [19] and our parameterised model shows that the interaction between such regulation and the increased snail birth rates at higher temperatures make such dynamics more likely.
However, they have difficulty in explaining the globally quick spread of influenza [ 13] and especially for the cyclical dynamics of syphilis [ 15].
This leads to a certain inertia characteristic of natural selection that produces the time-lags in counter-adaptation and thus the cyclical dynamics.
For example, Model 3 predicts that structural change comes to a halt in the limit, i.e., structural change is transitory; Model 2a (Model 4) allows, additionally, for cyclical limit dynamics of the manufacturing and services sectors (of all sectors); and in Model 1a, irregular dynamics (erratic dynamics or chaos) may arise.
Based on the [14] investigation within the social science and management disciplines, they recognized the dynamic nature of customer engagement process, which is characterized by specific cyclical, iterative dynamics.
Model 3 excludes, e.g., cyclical limit dynamics and predicts that structural change is transitory, i.e., comes to a halt (in the limit).
Parent populations of our modeled ecotypes E2 and E3 exhibited such cyclical population dynamics in surface waters at 35°N (Fig. 4).
As common strains are likely to be targeted more strongly by the immune response, a negative frequency dependent selection may ensue, leading to potentially cyclical frequency dynamics between the virus and the immune system.
