Summary
International Symposium on Nonlinear Theory and Its Applications
2016
Session Number:C1L-D
Session:
Number:C1L-D-1
Intrinsic Localized Modes in Saturable Inductor Transmission Lines
Masayuki Sato, Toshio Mukaide, Takahiro Nakaguchi, Albert J. Sievers,
pp.-
Publication Date:2016/11/27
Online ISSN:2188-5079
Summary:
Nonlinear 1-D electric transmission lines have long been used to study solitons and intrinsic localized modes (ILMs) with the focus mainly on nonlinear capacitors since they correspond to nonlinear potential energy terms in the corresponding mechanical systems. Here, we study a saturable inductor in an otherwise linear transmission line. Our simulations show ILM current waveforms strongly distorted from a sinusoidal time dependence. The well known rotating wave approximation fails to predict such an ILM; however, including the fundamental and the third harmonic of the ILM current produces results in good agreement with simulations over a restricted amplitude region.