Title :
Multimode Oscillations in Coupled Oscillators With High-Order Nonlinear Characteristics
Author :
Kojima, Masaru ; Uwate, Yoko ; Nishio, Yusuke
Author_Institution :
Dept. of Electr. & Electron. Eng., Tokushima Univ., Tokushima, Japan
Abstract :
We propose two van der Pol oscillators with high-order nonlinearities coupled with an inductor and investigate various types of multimode oscillations. We confirm that these oscillations are stably excited by numerical calculations, theoretical analyses and circuit experiments. In particular, we aim to show relations between the multimode oscillations and the number of order nonlinear characteristics.
Keywords :
circuit oscillations; coupled circuits; nonlinear systems; relaxation oscillators; circuit experiments; coupled oscillators; high-order nonlinear characteristics; high-order nonlinearities; inductor; multimode oscillations; numerical calculations; theoretical analyses; van der Pol oscillators; Equations; Integrated circuit modeling; Jacobian matrices; Mathematical model; Oscillators; Resistors; Synchronization; Multimode oscillations; nonlinear characteristics; van der Pol oscillators;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2014.2312480
