Chacón Ricardo
Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, E-06071 Badajoz, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Oct;74(4 Pt 2):046202. doi: 10.1103/PhysRevE.74.046202. Epub 2006 Oct 2.
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.
研究了降低局部周期性脉冲传输的冲量对耦合非线性振荡器均匀链混沌行为的影响。假设当振荡器被同步驱动时，即所有驱动脉冲传输相同的冲量，链会呈现混沌动力学。结果表明，降低两个自由端振荡器脉冲传输的冲量会导致正则化，整个阵列呈现频率同步，而与链的大小无关。通常会发现，随着两个端部振荡器脉冲变窄，振幅失步达到最大水平，这被解释为两种相互竞争的普遍机制的结果：局部异质脉冲引起的失步以及此类局部脉冲传输的冲量急剧降低导致的整个链的振荡死亡。这些发现表明，降低局部外力传输的冲量可以抑制混沌，并导致耗散系统网络中的频率锁定状态。
