The analysis of observed chaotic data in physical systems

HDI Abarbanel, R Brown, JJ Sidorowich… - Reviews of modern …, 1993 - APS
Chaotic time series data are observed routinely in experiments on physical systems and in
observations in the field. The authors review developments in the extraction of information of …

Extreme events in dynamical systems and random walkers: A review

SN Chowdhury, A Ray, SK Dana, D Ghosh - Physics Reports, 2022 - Elsevier
Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

[图书][B] Analysis of observed chaotic data

H Abarbanel - 2012 - books.google.com
When I encountered the idea of chaotic behavior in deterministic dynami cal systems, it gave
me both great pause and great relief. The origin of the great relief was work I had done …

Chaos is not rare in natural ecosystems

TL Rogers, BJ Johnson, SB Munch - Nature ecology & evolution, 2022 - nature.com
Chaotic dynamics are thought to be rare in natural populations but this may be due to
methodological and data limitations, rather than the inherent stability of ecosystems …

Capturing the continuous complexity of behaviour in Caenorhabditis elegans

T Ahamed, AC Costa, GJ Stephens - Nature Physics, 2021 - nature.com
Animal behaviour is often quantified through subjective, incomplete variables that mask
essential dynamics. Here, we develop a maximally predictive behavioural-state space from …

Variability and determinism in motor behavior

MA Riley, MT Turvey - Journal of motor behavior, 2002 - Taylor & Francis
In investigations into perception-action systems, variability of observable behavior may be
considered to (a) interfere with inquiry,(b) be neither detrimental nor particularly useful to …

Interdisciplinary application of nonlinear time series methods

T Schreiber - Physics reports, 1999 - Elsevier
This paper reports on the application to field measurements of time series methods
developed on the basis of the theory of deterministic chaos. The major difficulties are …

Recent developments in empirical dynamic modelling

SB Munch, TL Rogers… - Methods in Ecology and …, 2023 - Wiley Online Library
Ecosystems are complex and sparsely observed making inference and prediction
challenging. Empirical dynamic modelling (EDM) circumvents the need for a parametric …

[图书][B] The Matrix Eigenvalue Problem: GR and Krylov Subspace Methods

DS Watkins - 2007 - SIAM
Eigenvalue problems are ubiquitous in engineering and science. This book presents a
unified theoretical development of the two most important classes of algorithms for solving …

Deterministic polarization chaos from a laser diode

M Virte, K Panajotov, H Thienpont, M Sciamanna - Nature Photonics, 2013 - nature.com
Fifty years after the invention of the laser diode, and forty years after the butterfly effect
signified the unpredictability of deterministic chaos, it is commonly believed that a laser …