Nonlinear and stochastic dynamics in the heart

Z Qu, G Hu, A Garfinkel, JN Weiss - Physics reports, 2014 - Elsevier
In a normal human life span, the heart beats about 2–3 billion times. Under diseased
conditions, a heart may lose its normal rhythm and degenerate suddenly into much faster …

[图书][B] Chaos in dynamical systems

E Ott - 2002 - books.google.com
Over the past two decades scientists, mathematicians, and engineers have come to
understand that a large variety of systems exhibit complicated evolution with time. This …

Fundamentals of synchronization in chaotic systems, concepts, and applications

LM Pecora, TL Carroll, GA Johnson, DJ Mar… - … Journal of Nonlinear …, 1997 - pubs.aip.org
The field of chaotic synchronization has grown considerably since its advent in 1990.
Several subdisciplines and “cottage industries” have emerged that have taken on bona fide …

[图书][B] The symmetry perspective: from equilibrium to chaos in phase space and physical space

M Golubitsky, I Stewart - 2003 - books.google.com
Pattern formation in physical systems is one of the major research frontiers of mathematics.
A central theme of this book is that many instances of pattern formation can be understood …

On-off intermittency in a human balancing task

JL Cabrera, JG Milton - Physical Review Letters, 2002 - APS
Motion analysis in three dimensions demonstrate that the fluctuations in the vertical
displacement angle of a stick balanced at the fingertip obey a scaling law characteristic of on …

Nonlinear vibrations of suspended cables—Part III: Random excitation and interaction with fluid flow

RA Ibrahim - Appl. Mech. Rev., 2004 - asmedigitalcollection.asme.org
This review article deals with the random excitation of nonlinear strings and suspended
cables in air and fluid flow. For strings and 1D cables, the system dynamics is governed by …

[图书][B] Multiscale analysis of complex time series: integration of chaos and random fractal theory, and beyond

J Gao, Y Cao, W Tung, J Hu - 2007 - books.google.com
The only integrative approach to chaos and random fractal theory Chaos and random fractal
theory are two of the most important theories developed for data analysis. Until now, there …

From attractor to chaotic saddle: a tale of transverse instability

P Ashwin, J Buescu, I Stewart - Nonlinearity, 1996 - iopscience.iop.org
From attractor to chaotic saddle: a tale of transverse instability Page 1 Nonlinearity From attractor
to chaotic saddle: a tale of transverse instability To cite this article: Peter Ashwin et al 1996 …

Noise-Induced Synchronization and Clustering in Ensembles<? format?> of Uncoupled Limit-Cycle Oscillators

H Nakao, K Arai, Y Kawamura - Physical review letters, 2007 - APS
We study synchronization properties of general uncoupled limit-cycle oscillators driven by
common and independent Gaussian white noises. Using phase reduction and averaging …

Distribution of the first return time in fractional Brownian motion and its application to the study of on-off intermittency

M Ding, W Yang - Physical Review E, 1995 - APS
Herein, the term fractional Brownian motion is used to refer to a class of random walks with
long-range correlated steps where the mean square displacement of the walker at large time …