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Related Experiment Video

Updated: Feb 13, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Laminar Chaos.

David Müller¹, Andreas Otto¹, Günter Radons¹

¹Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany.

Physical Review Letters

|March 16, 2018

Summary

This summary is machine-generated.

Systems with time-varying delay exhibit novel chaotic behavior with distinct laminar phases and irregular bursts. The intensity levels within phases vary chaotically, offering new insights into complex dynamics.

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Area of Science:

Nonlinear Dynamics
Chaos Theory
Complex Systems

Background:

Time-varying delay systems are prevalent in various scientific and engineering fields.
Understanding the behavior of these systems is crucial for control and prediction.
Previous research has explored various dynamics, but a specific type of chaotic behavior remained uncharacterized.

Purpose of the Study:

To identify and characterize a new type of chaotic behavior in systems with time-varying delay.
To analyze the interplay between laminar phases and chaotic bursts.
To develop methods for understanding and controlling these dynamics.

Main Methods:

Analysis of system output exhibiting periodic laminar phases interrupted by irregular bursts.
Characterization of intensity levels within laminar phases as chaotically varying.
Development of two one-dimensional maps to model periodic and chaotic dynamics.

Main Results:

Demonstration of a novel chaotic behavior characterized by laminar phases and bursts.
Observation that output intensity is nearly constant within a phase but varies chaotically between phases.
Successful modeling and tuning of dynamics using derived one-dimensional maps.

Conclusions:

Systems with time-varying delay can display a unique form of chaos with predictable phase structures and unpredictable intensity fluctuations.
The identified dynamics can be understood and manipulated through nonlinear analysis of the delay equation and delay variation.
This research opens new avenues for controlling and predicting the behavior of complex time-delay systems.