Pisarchik A N, Jaimes-Reátegui R
Centro de Investigaciones en Optica, Loma del Bosque 115, 37150 Leon, Guanajuato, Mexico.
Computational Systems Biology, Center for Biomedical Technology, Technical University of Madrid, Campus Montegancedo, 28223 Pozuelo de Alarcon, Madrid, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Nov;92(5):050901. doi: 10.1103/PhysRevE.92.050901. Epub 2015 Nov 2.
A small mismatch between natural frequencies of unidirectionally coupled chaotic oscillators can induce coherence resonance in the slave oscillator for a certain coupling strength. This surprising phenomenon resembles "stabilization of chaos by chaos," i.e., the chaotic driving applied to the chaotic system makes its dynamics more regular when the natural frequency of the slave oscillator is a little different than the natural frequency of the master oscillator. The coherence is characterized with the dominant component in the power spectrum of the slave oscillator, normalized standard deviations of both the peak amplitude and the interpeak interval, and Lyapunov exponents. The enhanced coherence is associated with increasing negative both the third and the fourth Lyapunov exponents, while the first and second exponents are always positive and zero, respectively.
对于单向耦合的混沌振荡器,当自然频率之间存在微小失配时,在一定耦合强度下,从属振荡器中会出现相干共振。这种令人惊讶的现象类似于“通过混沌实现混沌的稳定”,即当从属振荡器的自然频率与主振荡器的自然频率略有不同时,施加于混沌系统的混沌驱动会使其动力学变得更加规则。相干性通过从属振荡器功率谱中的主导成分、峰值幅度和峰间间隔的归一化标准差以及李雅普诺夫指数来表征。增强的相干性与第三和第四李雅普诺夫指数的负值增加相关,而第一和第二指数始终分别为正和零。