Controlling chaos with localized heterogeneous forces in oscillator chains

被引:6
作者
Chacon, Ricardo [1 ]
机构
[1] Univ Extremadura, Escuela Ingn Ind, Dept Fis Aplicada, E-06071 Badajoz, Spain
来源
PHYSICAL REVIEW E | 2006年 / 74卷 / 04期
关键词
D O I
10.1103/PhysRevE.74.046202
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
The effects of decreasing the impulse transmitted by localized periodic pulses on the chaotic behavior of homogeneous chains of coupled nonlinear oscillators are studied. It is assumed that when the oscillators are driven synchronously, i.e., all driving pulses transmit the same impulse, the chains display chaotic dynamics. It is shown that decreasing the impulse transmitted by the pulses of the two free end oscillators results in regularization with the whole array exhibiting frequency synchronization, irrespective of the chain size. A maximum level of amplitude desynchrony as the pulses of the two end oscillators narrow is typically found, which is explained as the result of two competing universal mechanisms: desynchronization induced by localized heterogeneous pulses and oscillation death of the complete chain induced by drastic decreasing of the impulse transmitted by such localized pulses. These findings demonstrate that decreasing the impulse transmitted by localized external forces can suppress chaos and lead to frequency-locked states in networks of dissipative systems.
引用
收藏
页数:4
相关论文
共 35 条
[1]   Impurity-induced stabilization of solitons in arrays of parametrically driven nonlinear oscillators [J].
Alexeeva, NV ;
Barashenkov, IV ;
Tsironis, GP .
PHYSICAL REVIEW LETTERS, 2000, 84 (14) :3053-3056
[2]  
Amit D., 1989, Modelling Brain Function: the World of Attractor Neural Networks
[3]   The synchronization of chaotic systems [J].
Boccaletti, S ;
Kurths, J ;
Osipov, G ;
Valladares, DL ;
Zhou, CS .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101
[4]   DISORDER-ENHANCED SYNCHRONIZATION [J].
BRAIMAN, Y ;
DITTO, WL ;
WIESENFELD, K ;
SPANO, ML .
PHYSICS LETTERS A, 1995, 206 (1-2) :54-60
[5]   TAMING SPATIOTEMPORAL CHAOS WITH DISORDER [J].
BRAIMAN, Y ;
LINDNER, JF ;
DITTO, WL .
NATURE, 1995, 378 (6556) :465-467
[6]   Synchronization from disordered driving forces in arrays of coupled oscillators [J].
Brandt, SF ;
Dellen, BK ;
Wessel, R .
PHYSICAL REVIEW LETTERS, 2006, 96 (03)
[7]   Well-behaved dynamics in a dissipative nonideal periodically kicked rotator -: art. no. 066217 [J].
Chacón, R ;
García-Hoz, AM .
PHYSICAL REVIEW E, 2003, 68 (06)
[8]  
Chacon R, 2005, WORLD SCI SER NONLIN, V55, P1, DOI 10.1142/9789812703514
[9]   Suppressing temporal and spatio-temporal chaos by multiple weak resonant excitations:: Application to arrays of chaotic coupled oscillators [J].
Chacón, R ;
Preciado, V ;
Tereshko, V .
EUROPHYSICS LETTERS, 2003, 63 (05) :667-673
[10]   Chaotic behavior in a dissipative non-ideal periodically kicked rotator [J].
Chacón, R ;
García-Hoz, AM .
PHYSICS LETTERS A, 2001, 281 (04) :231-239