Title
Wavelet Analysis of Bifurcation in a Competition Model
Abstract
A nonlinear dynamical system which describes two interacting and competing populations (tumor and immune cells) is studied through the analysis of the wavelet coefficients. The wavelet coefficients (also called detail coefficients) are able to reproduce the behaviour of the function, and, being sensible to local changes, are strictly related to the differentiable properties of the function, which cannot be easily derived from the numerical interpolation. So the main features of the dynamical system will be given in terms of detail coefficients that are more adapted to the description of a nonlinear problem.
Year
DOI
Venue
2007
10.1007/978-3-540-72586-2_140
International Conference on Computational Science (2)
Keywords
Field
DocType
local change,competition model,main feature,immune cell,dynamical system,differentiable property,nonlinear problem,wavelet coefficient,wavelet analysis,numerical interpolation,detail coefficient,nonlinear dynamical system,dynamic system
Mathematical optimization,Nonlinear system,Mathematical analysis,Interpolation,Differentiable function,Haar wavelet,Mathematics,Dynamical system,Wavelet transform,Wavelet,Bifurcation
Conference
Volume
ISSN
Citations 
4488
0302-9743
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Carlo Cattani19226.22
I. Bochicchio201.01