Critical dynamic events at the crisis of transition to spatiotemporal chaos

被引:16
作者
He, K
Chian, ACL
机构
[1] CCAST, World Lab, Beijing 100080, Peoples R China
[2] Beijing Normal Univ, Inst Low Energy Nucl Phys, Beijing 100875, Peoples R China
[3] Univ Adelaide, WISER, NITP, Adelaide, SA 5005, Australia
[4] Natl Inst Space Res INPE, BR-12227010 Sao Jose Dos Campos, SP, Brazil
来源
PHYSICAL REVIEW E | 2004年 / 69卷 / 02期
关键词
D O I
10.1103/PhysRevE.69.026207
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
In the driven/damped drift-wave plasma system a collision of the weak chaotic attractor with a saddle point is demonstrated at the crisis that induces a transition from a spatially coherent state to spatiotemporal chaos (STC). The phenomenon of the collision is consistent with the previous observation of the 'pattern resonance' that triggers the crisis. Subsequent to the collision, before the system is ejected to the STC attractor, there is evidence of another critical dynamic event involving state transition of a mode phase. The second event plays a crucial role in the destruction of the spatial coherence.
引用
收藏
页码:026207 / 1
页数:6
相关论文
共 10 条
[1]   3-DRIFT-WAVE INTERACTION AT FINITE PARALLEL WAVELENGTH - BIFURCATIONS AND TRANSITION TO TURBULENCE [J].
BISKAMP, D ;
KAIFEN, H .
PHYSICS OF FLUIDS, 1985, 28 (07) :2172-2180
[2]   High-dimensional interior crisis in the Kuramoto-Sivashinsky equation [J].
Chian, ACL ;
Rempel, EL ;
Macau, EE ;
Rosa, RR ;
Christiansen, F .
PHYSICAL REVIEW E, 2002, 65 (03) :1-035203
[3]   CHAOTIC ATTRACTORS IN CRISIS [J].
GREBOGI, C ;
OTT, E ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1982, 48 (22) :1507-1510
[4]   CRISES, SUDDEN CHANGES IN CHAOTIC ATTRACTORS, AND TRANSIENT CHAOS [J].
GREBOGI, C ;
OTT, E ;
YORKE, JA .
PHYSICA D, 1983, 7 (1-3) :181-200
[5]   Large-scale fluctuation structures in plasma turbulence [J].
Grulke, O ;
Klinger, T .
NEW JOURNAL OF PHYSICS, 2002, 4 :67.1-67.23
[6]   Saddle pattern resonance and onset of crisis to spatiotemporal chaos [J].
He, KF .
PHYSICAL REVIEW LETTERS, 2000, 84 (15) :3290-3293
[7]   Crisis-induced transition to spatiotemporally chaotic motions [J].
He, KF .
PHYSICAL REVIEW LETTERS, 1998, 80 (04) :696-699
[8]   Route to drift, wave chaos and turbulence in a bounded low-beta plasma experiment [J].
Klinger, T ;
Latten, A ;
Piel, A ;
Bonhomme, G ;
Pierre, T ;
deWit, TD .
PHYSICAL REVIEW LETTERS, 1997, 79 (20) :3913-3916
[9]  
OTT E, 1993, CHAOS DYNAMICAL SYST, P277
[10]   OBSERVATIONS OF ORDER AND CHAOS IN NON-LINEAR SYSTEMS [J].
SWINNEY, HL .
PHYSICA D, 1983, 7 (1-3) :3-15