Gomes I, Vermelho M V D, Lyra M L
Instituto de Física, Universidade Federal de Alagoas, Maceió AL, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 May;85(5 Pt 2):056201. doi: 10.1103/PhysRevE.85.056201. Epub 2012 May 7.
We experimentally investigate the ghost resonance phenomenon in the electronic circuit of Chua operating in the chaotic regime. The circuit can be stimulated to jump between two single-scroll attractors by an external periodic signal with an amplitude above an intrinsic threshold. For subthreshold signals, jumps between the chaotic attractors can be promoted by a superposed white noise. We show that the circuit output can exhibit a well-defined ghost resonance signature, i.e., a resonance on a frequency that is absent in a multicomponent input signal, when the amplitudes of the input components are properly related. Further, we show that ghost resonance can be induced by the Chua's circuit's own chaotic dynamics when it is driven by a suprathreshold multicomponent signal without the need of an external noise source.
我们通过实验研究了处于混沌状态的蔡氏电子电路中的鬼共振现象。该电路可被幅度高于固有阈值的外部周期信号刺激,在两个单涡卷吸引子之间跳跃。对于亚阈值信号,混沌吸引子之间的跳跃可由叠加的白噪声促进。我们表明,当输入分量的幅度具有适当关系时,电路输出可呈现明确的鬼共振特征,即在多分量输入信号中不存在的频率上出现共振。此外,我们表明,当蔡氏电路由超阈值多分量信号驱动时,无需外部噪声源,其自身的混沌动力学即可诱发鬼共振。