Spiral waves in chaotic systems

被引:84
作者
Goryachev, A
Kapral, R
机构
[1] Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, ON
关键词
D O I
10.1103/PhysRevLett.76.1619
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Spiral waves are investigated in chemical systems whose underlying spatially homogeneous dynamics is governed by a deterministic chaotic attractor. We show how the local periodic behavior in the vicinity of a spiral defect is transformed to chaotic dynamics far from the defect. The transformation occurs by a type of period doubling as the distance from the defect increases. The change in character of the dynamics is described in terms of the phase space flow on closed curves surrounding the defect.
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收藏
页码:1619 / 1622
页数:4
相关论文
共 11 条
[1]   CHEMICAL CHAOS - FROM HINTS TO CONFIRMATION [J].
ARGOUL, F ;
ARNEODO, A ;
RICHETTI, P ;
ROUX, JC ;
SWINNEY, HL .
ACCOUNTS OF CHEMICAL RESEARCH, 1987, 20 (12) :436-442
[2]   LONG-RANGE ORDER WITH LOCAL CHAOS IN LATTICES OF DIFFUSIVELY COUPLED ODES [J].
BRUNNET, L ;
CHATE, H ;
MANNEVILLE, P .
PHYSICA D, 1994, 78 (3-4) :141-154
[3]   DEFECT-MEDIATED TURBULENCE [J].
COULLET, P ;
GIL, L ;
LEGA, J .
PHYSICAL REVIEW LETTERS, 1989, 62 (14) :1619-1622
[4]   A FORM OF TURBULENCE ASSOCIATED WITH DEFECTS [J].
COULLET, P ;
GIL, L ;
LEGA, J .
PHYSICA D, 1989, 37 (1-3) :91-103
[5]   FLUCTUATIONS AND SIMPLE CHAOTIC DYNAMICS [J].
CRUTCHFIELD, JP ;
FARMER, JD ;
HUBERMAN, BA .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1982, 92 (02) :45-82
[6]  
Kapral R., 1995, CHEM WAVES PATTERNS
[7]   TOPOLOGICAL THEORY OF DEFECTS IN ORDERED MEDIA [J].
MERMIN, ND .
REVIEWS OF MODERN PHYSICS, 1979, 51 (03) :591-648
[8]  
Mikhailov AS, 1994, FDN SYNERGETICS
[9]   PERIODIC TO QUASI-PERIODIC TRANSITION OF CHEMICAL SPIRAL ROTATION [J].
SKINNER, GS ;
SWINNEY, HL .
PHYSICA D, 1991, 48 (01) :1-16
[10]  
WILLAMOWSKI KD, 1980, Z NATURFORSCH A, V35, P317