BIFURCATION OF QUASI-PERIODIC OSCILLATIONS IN MUTUALLY COUPLED HARD-TYPE OSCILLATORS: DEMONSTRATION OF UNSTABLE QUASI-PERIODIC ORBITS

被引：12
|
作者：
Kamiyama, Kyohei [1 ]
Komuro, Motomasa [2 ]
Endo, Tetsuro [1 ]
机构：
[1] Meiji Univ, Dept Elect & Bioinformat, Tama Ku, Kawasaki, Kanagawa 2148571, Japan
[2] Teikyo Univ Sci, Dept Occupat Therapy, Uenohara, Yamanashi 4090193, Japan
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2012年 / 22卷 / 06期
关键词：
Bistable oscillator; mutual coupling; unstable invariant closed curve; unstable quasi-periodic oscillation; pitchfork bifurcation; saddle-node bifurcation; NON-LINEAR CHARACTERISTICS; MULTIMODE OSCILLATIONS; MODE ANALYSIS; SYSTEM;
D O I：
10.1142/S0218127412300224
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain bifurcations of quasi-periodic orbits occuring in mutually coupled hard-type oscillators by using our recently developed computer algorithm to directly determine the unstable quasi-periodic orbits. So far, there is no computer algorithm to draw unstable invariant closed curves on a Poincare map representing quasi-periodic orbits. Recently, we developed a new algorithm to draw unstable invariant closed curves by using the bisection method. The results of this new algorithm are compared with the previously obtained averaging method results. Several new results are found, which could not be clarified by the averaging method.
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页数：13
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