Topics

Laminar Chaos in Experiments: Nonlinear Systems with Time-Varying Delays and Noise.

08:00 EDT 11th October 2019 | BioPortfolio

Summary of "Laminar Chaos in Experiments: Nonlinear Systems with Time-Varying Delays and Noise."

A new type of dynamics called laminar chaos was recently discovered through a theoretical analysis of a scalar delay differential equation with time-varying delay. Laminar chaos is a low-dimensional dynamics characterized by laminar phases of nearly constant intensity with periodic durations and a chaotic variation of the intensity from one laminar phase to the next laminar phase. This is in stark contrast to the typically observed higher-dimensional turbulent chaos, which is characterized by strong fluctuations. In this Letter we provide the first experimental observation of laminar chaos by studying an optoelectronic feedback loop with time-varying delay. The noise inherent in the experiment requires the development of a nonlinear Langevin equation with variable delay. The results show that laminar chaos can be observed in higher-order systems, and that the phenomenon is robust to noise and a digital implementation of the variable time delay.

Affiliation

Journal Details

This article was published in the following journal.

Name: Physical review letters
ISSN: 1079-7114
Pages: 154101

Links

DeepDyve research library

PubMed Articles [19704 Associated PubMed Articles listed on BioPortfolio]

Fuzzy Control Under Spatially Local Averaged Measurements for Nonlinear Distributed Parameter Systems With Time-Varying Delay.

This paper introduces a fuzzy control (FC) under spatially local averaged measurements (SLAMs) for nonlinear-delayed distributed parameter systems (DDPSs) represented by parabolic partial differential...

A healthy dose of chaos: Using fractal frameworks for engineering higher-fidelity biomedical systems.

Optimal levels of chaos and fractality are distinctly associated with physiological health and function in natural systems. Chaos is a type of nonlinear dynamics that tends to exhibit seemingly random...

Event-Based Resilient Formation Control of Multiagent Systems.

This paper focuses on the time-varying formation tracking issue for nonlinear multiagent systems (MASs). Based on the explicit characterizations of frequency, duration, and magnitude properties for de...

Finite-Time Consensus of Second-Order Switched Nonlinear Multi-Agent Systems.

In this brief, the practical finite-time consensus (FTC) problem is investigated for the second-order heterogeneous switched nonlinear multi-agent systems (MASs), where the subsystems and the switchin...

Robust Online Sequential RVFLNs for Data Modeling of Dynamic Time-Varying Systems With Application of an Ironmaking Blast Furnace.

By dealing with robust modeling and online learning together in a unified random vector functional-link networks (RVFLNs) framework, this paper presents a novel robust online sequential RVFLNs for dat...

Clinical Trials [4108 Associated Clinical Trials listed on BioPortfolio]

Real-Time Assessment Of Breast Cancer Lumpectomy Specimen Margins With Nonlinear Microscopy

This research is studying a new investigative imaging instrument called a nonlinear microscope (NLM). A nonlinear microscope can produce images similar to an ordinary pathologist's microsc...

Effect of Temperature Controlled Laminar Airflow (TLA) on the Peripheral Bronchial Airway in Asthma

The purpose of this study is to determine whether clean air administered to the breathing zone with Temperature regulated Laminar Airflow (TLA) during night is effective as add on treatmen...

Effect of Temperature Controlled Laminar Airflow (TLA) on Rhinitis

The purpose of this study is to determine whether clean air administered to the breathing zone with Temperature controlled Laminar Airflow (TLA) during night is effective as add on treatme...

Clinical Effects of Temperature Controlled Laminar Airflow (TLA)

The purpose of this study is to determine whether clean air administered to the breathing zone with Temperature controlled Laminar Airflow (TLA) during night is effective in the treatment ...

Effect of Temperature Controlled Laminar Airflow (TLA) on Nasal Airway Inflammation and Sleep Quality in Asthma

The purpose of this study is to determine whether clean air administered to the breathing zone with Temperature regulated Laminar Airflow (TLA) during night is effective as add on treatmen...

Medical and Biotech [MESH] Definitions

The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos.

Patterns (real or mathematical) which look similar at different scales, for example the network of airways in the lung which shows similar branching patterns at progressively higher magnifications. Natural fractals are self-similar across a finite range of scales while mathematical fractals are the same across an infinite range. Many natural, including biological, structures are fractal (or fractal-like). Fractals are related to "chaos" (see NONLINEAR DYNAMICS) in that chaotic processes can produce fractal structures in nature, and appropriate representations of chaotic processes usually reveal self-similarity over time.

Microscopic imaging techniques that utilize nonlinear responses of light-matter interactions which occur with high-intensity illumination, such as from LASERS, and specialized light signal detection instrumentation to produce images without the need for dyes or fluorescent labels.

Experiments designed to determine the potential toxic effects of one-time, short-term exposure to a chemical or chemicals.

Experiments designed to determine the potential toxic effects of one-time, short-term exposure to a chemical or chemicals.

Quick Search


DeepDyve research library

Searches Linking to this Article