Summary

the 2014 International Symposium on Nonlinear Theory and its Applications

2014

Session Number:B2L-A

Session:

Number:B2L-A1

A Class of Sinusoidal Driven Nonlinear Input-Output Systems with Sinusoidal Response

Marco Reit,  Wolfgang Mathis,  

pp.292-295

Publication Date:2014/9/14

Online ISSN:2188-5079

DOI:10.34385/proc.46.B2L-A1

PDF download (713.1KB)

Summary:
The Hopf amplifier based on the normal form equation of the Andronov-Hopf bifurcation is an established element in the modeling of the mammalian auditory system. Beside its specific amplification characteristic, it acts for single-tone signals like a linear system concerning the spectral behavior. Since this is a peculiar exception for a nonlinear amplifier, we use the Hopf normal form as a starting point to analyze all resonant two-dimensional differential equations with cubic nonlinearity. In particular we focus on the pure sinusoidal response.