Title :
Bifurcation of modes in three-coupled oscillators with the increase of nonlinearity
Author :
Aruga, Yuhki ; Endo, Tetsuro ; Hasegawa, Akio
Author_Institution :
Dept. of Electron. & Commun., Meiji Univ., Kawasaki, Japan
Abstract :
In this paper we investigate bifurcations of modes in three-coupled oscillators with hard and soft nonlinearity in relation to the increase of parameter ε, showing the degree of nonlinearity. The stability of modes in such a system for small ε was already analyzed via averaging theory. Therefore, we start from the stable modes for small ε, and increase ε gradually to observe bifurcations of modes. Through numerical analysis using the shooting method, Runge Kutta method and fast Fourier transforms, we have clarified how the modes (the same-phase, the reverse-phase, the double and triple modes) which exist for small ε, bifurcate when ε becomes larger.
Keywords :
Runge-Kutta methods; bifurcation; circuit stability; coupled circuits; fast Fourier transforms; nonlinear network analysis; numerical analysis; oscillators; synchronisation; Runge Kutta method; double modes; fast Fourier transform; hard nonlinearity; mode bifurcations; nonlinearity increase; numerical analysis; pitchfork bifurcation; reverse-phase modes; same-phase modes; shooting method; soft nonlinearity; stable modes; synchronization; three-coupled oscillators; triple modes; Algorithm design and analysis; Bifurcation; Couplings; Fast Fourier transforms; Frequency synchronization; Stability analysis; Voltage-controlled oscillators;
Conference_Titel :
Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on
Print_ISBN :
0-7803-7448-7
DOI :
10.1109/ISCAS.2002.1010702
