학술논문
Bicritical behavior of period doublings in unidirectionally coupled maps
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- 영문명
- Bicritical behavior of period doublings in unidirectionally coupled maps
- 발행기관
- 강원대학교 기초과학연구소
- 저자명
- Sang-Yoon Kim
- 간행물 정보
- 『기초과학연구』제10집, 279~286쪽, 전체 8쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 1999.12.01
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국문 초록
영문 초록
We study the scaling behavior of period doublings in two unidirectionally coupled one-dimensional maps near a bicritical point where two critical lines of period-doubling transition to chaos in both subsystems meet. Note that the bicritical point corresponds to a border of chaos in both subsystems. For this bicritical case, the second response subsystem exhibits a type of non-Feigenbaum critical behavior, while the first drive subsystem is in the Feigenbaum critical state. Using two different methods, we make the renormalization-group analysis of the bicritical behavior and find the corresponding fixed point of the renormalization transformation with two relevant eigenvalues. The scaling factors obtained by the renormalization-group analysis agree well with those obtained by a direct numerical method.
목차
1. INTRODUCTION
2. SCALING BEHAVIOR NEAR THE BICRITICAL POINT
3. RENORMALIZATION-GROUP ANALYSIS OF THE BICRITICAL BEHAVIOR
4. SUMMARY
REFERENCES
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