Critical behavior of period doublings in coupled inverted pendulums

• 영문명: Critical behavior of period doublings in coupled inverted pendulums
• 발행기관: 강원대학교 기초과학연구소
• 저자명: Sang-Yoon Kim Bambi Hu
• 간행물 정보: 『기초과학연구』제10집, 238~249쪽, 전체 12쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 1999.12.01

영문 초록

We study the critical behaviors of period doublings in N(N=2,3,4,...) coupled inverted pendulums by varying the driving amplitude A and the coupling strength c. It is found that the critical behaviors depend on the range of coupling interaction. In the extreme long-range case of global coupling critical point and an infinity of critical line segments constitute the same critical set in the A-c plane, independently of N. However, for any other nonglobal-coupling cases of shorter-range couplings, the structure of the critical set becomes different from that for the global-coupling case, because of a significant change in the stability diagram of periodic orbits born via period doublings. The critical scaling behaviors on the critical set are also found to be the same as those for the abstract system of the coupled one-dimensional maps.

목차

1. INTRODUCTION

2. SYMMETRIES AND COUPLINGS IN THE COUPLED INVERTED PENDULUMS

3. STABILITY, BIFURCATIONS, AND LYAPUNOV EXPONENTS OF SYNCHRONOUS ORBITS

4. CRITICAL SCALING BEHAVIORS OF PERIOD DOUBLINGS

5. SUMMARY

REFERENCES