Stephen Puetz has done a lot of work on cycles reserach and cycles impacting financial datasets. I highly recommend his book “Unified Cycle Theory” and his current work. He has recently published a new article in the Journal “Chaos, Solitons & Fractals” which aims to be a leading journal in the interdisciplinary field of Nonlinear Science, and Nonequilibrium and Complex Phenomena.

He also states the dynamic nature of cycles in this article:

“Period variability – Many natural cycles exhibit considerable variation between repetitions. For instance, the sunspot cycle has an average period of ∼10.75-yr. However, over the past 300 years, individual cycles varied from 9-yr to 14-yr. Many other natural cycles exhibit similar variation around mean periods. In this scenario, a time-series with fewer than ten repetitions occasionally gives an inaccurate estimate of the cycle’s mean period.”

Source: “Evidence of synchronous, decadal to billion year cycles in geological, genetic, and astronomical events”, Chaos, Solitons & Fractals,Volumes 62–63, May–June 2014, Pages 55–75.

The paper is available as Open Access article in the Journal database and can be downloaded as pdf. It is a scientific research paper and has no direct relation to trading purposes. However, an important publication on nonlinear, extra-terrestrical cycles.

http://www.sciencedirect.com/science/article/pii/S0960077914000472

Title:
Evidence of synchronous, decadal to billion year cycles in geological, genetic, and astronomical events

Abstract:
Studies on continuously improving records of geological, biological, and astronomical events and processes led to increased awareness of common cycles in the records. Here we enhance the analytical scope of earlier discoveries by showing that most of these cycles occur in unison, as a harmonic series. The cycles oscillate in multiples of three, cascading into a period-tripled set of cycles. We provide one equation combining the characteristics of 32 theoretical cycles, with periods ranging from 57.3 years to 1.64 billion years. Our statistical tests show that the astronomical and geological cycles are phase-locked synchronously, while the biological cycles lag. This synchrony suggests a common astronomical cause for geological and biological cycles. This suggests that divisible matter is distributed fractally throughout the universe, as postulated by fractal cosmologies, bifurcation theory, and chaos theory.

Author:
Stephen J. Puetz, Andreas Prokophb, Glenn Borchardtd, Edward W. Masond

Date published:
April 2014