HARMONIC ANALYSIS OF OSCILLATORS THROUGH STANDARD NUMERICAL CONTINUATION TOOLS

Harmonic Analysis of oscillators through Standard Numerical Continuation Tools

FEDERICO BIZZARRI∗,†, DANIELE LINARO∗, BART OLDEMAN‡ and MARCO STORACE§ ∗Biophysical and Electronic Engineering Department, University of Genoa, Via Opera Pia 11a, Genova, Italy †Politecnico di Milano, Dipartimento di Elettronica e Informazione p.za Leonardo da Vinci, Milano, I-20133, Italy ‡Department of Computer Science and Software Engineering, Concordia University, 1455 De Maisonneuve Blvd....

Tools from Harmonic Analysis

The Fourier transform can be thought of as a map that decomposes a function into oscillatory functions. In this paper, we will apply this decomposition to help us gain valuable insights into the behavior of our original function. Some particular properties of a function that the Fourier transform will help us examine include smoothness, localization, and its L2 norm. We will conclude with a sec...

On non-standard numerical integration methods for biological oscillators

Mathematical models of biological processes, whether they be the dynamics of populations of individuals, cell populations within an organism, or reactions between different chemical species within a cell, are traditionally formulated in terms of differential equations. For a given model, specified by a system of differential equations, in the generic situation one is unable to solve the equatio...

Numerical Methods for Harmonic Analysis

Applied and Numerical Harmonic Analysis