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 …
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 …
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 …
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 …
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 …
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 …
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 …
We study synchronization properties of general uncoupled limit-cycle oscillators driven by common and independent Gaussian white noises. Using phase reduction and averaging …
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 …