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
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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.