BIFURCATION ANALYSIS OF THE PROPAGATING WAVE AND THE SWITCHING SOLUTIONS IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS - BIFURCATION STARTING FROM TYPE 2 STANDING WAVE SOLUTION

被引：4

作者：

Kamiyama, Kyohei ^{[1
]}

Komuro, Motomasa ^{[2
]}

Endo, Tetsuro ^{[1
]}

机构：

[1] Meiji Univ, Dept Elect & Bioinfomat, 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 / 05期

关键词：

Bistable oscillator; ring coupling; propagating wave; heteroclinic bifurcation; chaotic invariant closed circle; switching solution; bifurcation of quasi-periodic solution;

D O I：

10.1142/S0218127412501234

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we analyze the bifurcation of Type 2 periodic solution in a ring of six-coupled bistable oscillators. We show that pitchfork and heteroclinic bifurcations, which induce chaos, cause a change from periodic (standing wave) solution to quasi-periodic (propagating wave) solution or the inverse when the coupling strength is varied. We also explain the existence of the switching solution, and presume that the birth and death of this switching solution are due to a pitchfork bifurcation of a quasi-periodic solution.

引用

页数：13

共 3 条

[1] CHAOS OF THE PROPAGATING PULSE WAVE IN A RING OF SIX-COUPLED BISTABLE OSCILLATORS
Kamiyama, Kyohei
Endo, Tetsuro
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (04):
[2] SUPERCRITICAL PITCHFORK BIFURCATION OF THE QUASI-PERIODIC SWITCHING SOLUTION IN A RING OF SIX-COUPLED, BISTABLE OSCILLATORS
Kamiyama, Kyohei
Komuro, Motomasa
Endo, Tetsuro
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (12):
[3] BIFURCATION ANALYSIS OF THE QUASI-PERIODIC SOLUTION WITH THREE-PHASE SYNCHRONIZED ENVELOPES IN A RING OF THREE-COUPLED, BISTABLE OSCILLATORS
Kamiyama, Kyohei
Komuro, Motomasa
Endo, Tetsuro
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (12):

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