Essential nonlinearities in hearing

VM Eguíluz, M Ospeck, Y Choe, AJ Hudspeth… - Physical review …, 2000 - APS
Our hearing organ, the cochlea, evidently poises itself at a Hopf bifurcation to maximize
tuning and amplification. We show that in this condition several effects are expected to be …

[图书][B] Elementary symbolic dynamics and chaos in dissipative systems

BL Hao - 1989 - books.google.com
This book is a monograph on chaos in dissipative systems written for those working in the
physical sciences. Emphasis is on symbolic description of the dynamics and various …

Generating finite dimensional integrable nonlinear dynamical systems

M Lakshmanan, VK Chandrasekar - The European Physical Journal …, 2013 - Springer
In this article, we present a brief overview of some of the recent progress made in identifying
and generating finite dimensional integrable nonlinear dynamical systems, exhibiting …

Symbolic dynamics and characterization of complexity

B Hao - Physica D: Nonlinear Phenomena, 1991 - Elsevier
Symbolic dynamics deals with robust properties of dynamics without digging into numbers.
For one-dimensional maps there have been some new results (periodic window theorem …

Global bifurcations of a periodically forced biological oscillator

L Glass, MR Guevara, J Belair, A Shrier - Physical Review A, 1984 - APS
A single brief current pulse delivered to a spontaneously beating aggregate of cardiac cells
from embryonic chick heart will reset the rhythm of the aggregate. The resetting depends on …

Classification of strange attractors by integers

GB Mindlin, XJ Hou, HG Solari, R Gilmore… - Physical Review Letters, 1990 - APS
We show how to characterize a strange attractor by a set of integers. These are extracted
from the chaotic time-series data by first reconstructing the low-period orbits and then …

[图书][B] The physics of birdsong

GB Mindlin, R Laje - 2005 - books.google.com
In recent years birdsong has developed into an extremely interesting problem for
researchers in several branches of the scientific community. The reason is that of the …

A simple and unified approach to identify integrable nonlinear oscillators and systems

VK Chandrasekar, SN Pandey… - Journal of …, 2006 - pubs.aip.org
In this paper, we consider a generalized second-order nonlinear ordinary differential
equation (ODE) of the form x ̈+(k 1 x q+ k 2) x ̇+ k 3 x 2 q+ 1+ k 4 x q+ 1+ λ 1 x= 0⁠, where …

[图书][B] Chaos in dissipativen Systemen

BP Koch, B Pompe - 2013 - books.google.com
Dynamische Systeme können durch mathematische Gleichungen modelliert werden, die
eine eindeutige Vorschrift zur Berechnung der zeitlichen Entwicklung des Systemzustandes …

A principle of similarity for nonlinear vibration absorbers

G Habib, G Kerschen - Physica D: Nonlinear Phenomena, 2016 - Elsevier
This paper develops a principle of similarity for the design of a nonlinear absorber, the
nonlinear tuned vibration absorber (NLTVA), attached to a nonlinear primary system …