Quasi-chaotic behaviors of narrow-band response of a non-deterministic resonant system: application to analysis of ship motion in irregular seas

Abstract

This paper describes similarities between the narrow-band response of a resonant system excited by random inputs and low-dimensional chaos, with particular emphasis on the geometric characteristics of trajectories reconstructed in m-dimensional phase space from measured scalar time series data with a time-delay coordinate system. In this study, the time series data of ship roll angle in irregular waves were analyzed as an example of the narrow-band response of a resonant system. These time series data were measured by one of the authors in Tokyo Bay. The similarities between the narrow-band response of a resonant system excited by random inputs and low-dimensional chaos are verified by numerical simulation data.

Interpreting supply chain dynamics: A quasi-chaos perspective

“…Previous uses of the term ''quasi-chaos'' to characterize particular chaos-like phenomena, include Liboff, Weimann, and Porter (2002), where ''data is said to be 'quasichaotic' if its plot is wellapproximated by either a Wigner or Poisson distribution'' and Ueno and Fan (2013), where quasi-chaotic behaviors are observed in the narrow-band response of a non-deterministic resonant system.…”