Pseudo-laminar chaos from on-off intermittency

TL;DR

This paper introduces pseudo-laminar chaos, a phenomenon resembling laminar chaos in chaotic systems, distinguished by specific correlation properties, and explores its characteristics and differences from true laminar chaos.

Contribution

It identifies and characterizes pseudo-laminar chaos, showing how it differs from true laminar chaos through correlation analysis and providing insights into its underlying dynamics.

Findings

Pseudo-laminar chaos mimics laminar chaos in signals.

Correlations reveal key differences between pseudo- and true laminar chaos.

Pseudo-laminar chaos can be seen as integrated periodically driven on-off intermittency.

Abstract

In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find diffusive trajectories, which share their appearance with that of laminar chaotic diffusion [Phys. Rev. Lett. 128, 074101 (2022)] known from delay systems with lag-time modulation. Applying, however, to such systems a test for laminar chaos, as proposed in [Phys. Rev. E 101, 032213 (2020)], these signals fail such test, thus leading to the notion of pseudo-laminar chaos. The latter can be interpreted as integrated periodically driven on-off intermittency. We demonstrate that, on a signal level, true laminar and pseudo-laminar chaos are hardly distinguishable in systems with and without dynamical noise. However, very pronounced differences become apparent when correlations of signals and increments are considered. We compare and contrast these properties of pseudo-laminar chaos with true laminar chaos.