Dissipative Toda-Rayleigh lattice and its oscillatory modes -: art. no. 036601

被引:28
作者
Makarov, VA
del Río, E
Ebeling, W
Velarde, MG
机构
[1] Univ Complutense, Inst Pluridisciplinar, E-28040 Madrid, Spain
[2] Univ Politecn Madrid, ETSI Aeronaut, E-28040 Madrid, Spain
[3] Humboldt Univ, Inst Phys, D-10178 Berlin, Germany
关键词
D O I
10.1103/PhysRevE.64.036601
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
A detailed theoretical and experimental analysis of the possible oscillatory regimes of the dissipative Toda-Rayleigh lattice system is provided. It is shown that the system has (N-1) oscillatory modes with different space-time scales and two rotatory modes. Using its analog electronic circuit implementation we also show with a simple and robust method how switching between modes occurs.
引用
收藏
页码:14 / 366011
页数:14
相关论文
共 49 条
[1]  
ADIR BL, 1984, SEMICONDUCTORS ELECT
[2]  
[Anonymous], 1974, Differential Equations, Dynamical Systems, and Linear Algebra
[3]   DISSIPATIVE SOLITONS [J].
CHRISTOV, CI ;
VELARDE, MG .
PHYSICA D-NONLINEAR PHENOMENA, 1995, 86 (1-2) :323-347
[4]   Well-posed Boussinesq paradigm with purely spatial higher-order derivatives [J].
Christov, CI ;
Maugin, GA ;
Velarde, MG .
PHYSICAL REVIEW E, 1996, 54 (04) :3621-3638
[5]   KORTEWEG-DEVRIES SOLITON EXCITATION IN BENARD-MARANGONI CONVECTION [J].
CHU, XL ;
VELARDE, MG .
PHYSICAL REVIEW A, 1991, 43 (02) :1094-1096
[6]   Nonlinear dynamics and fluctuations of dissipative Toda chains [J].
Ebeling, W ;
Erdmann, U ;
Dunkel, J ;
Jenssen, M .
JOURNAL OF STATISTICAL PHYSICS, 2000, 101 (1-2) :443-457
[7]   Temporal evolutions and stationary waves for dissipative Benjamin-Ono equation [J].
Feng, BF ;
Kawahara, T .
PHYSICA D, 2000, 139 (3-4) :301-318
[8]   DISSIPATIVE KORTEWEG-DEVRIES DESCRIPTION OF MARANGONI-BENARD OSCILLATORY CONVECTION [J].
GARAZO, AN ;
VELARDE, MG .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1991, 3 (10) :2295-2300
[9]  
Gray P., 1994, Oscillations, Waves, and Chaos in Chemical Kinetics
[10]  
Guckenheimer J., 1983, NONLINEAR OSCILLATIO