Gonzalez-Miranda J M
Departamento de Fisica Fundamental, Universidad de Barcelona, Avenida Diagonal 647, 08028 Barcelona, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 2A):036232. doi: 10.1103/PhysRevE.65.036232. Epub 2002 Mar 7.
A peculiar type of synchronization has been found when two Van der Pol-Duffing oscillators, evolving in different chaotic attractors, are coupled. As the coupling increases, the frequencies of the two oscillators remain different, while a synchronized modulation of the amplitudes of a signal of each system develops, and a null Lyapunov exponent of the uncoupled systems becomes negative and gradually larger in absolute value. This phenomenon is characterized by an appropriate correlation function between the returns of the signals, and interpreted in terms of the mutual excitation of new frequencies in the oscillators power spectra. This form of synchronization also occurs in other systems, but it shows up mixed with or screened by other forms of synchronization, as illustrated in this paper by means of the examples of the dynamic behavior observed for three other different models of chaotic oscillators.
当两个在不同混沌吸引子中演化的范德波尔 - 杜芬振荡器耦合时，发现了一种特殊类型的同步。随着耦合增强，两个振荡器的频率保持不同，而每个系统中一个信号的幅度出现同步调制，并且未耦合系统的零李雅普诺夫指数变为负且绝对值逐渐增大。这种现象的特征是信号返回之间存在适当的相关函数，并根据振荡器功率谱中新频率的相互激发来解释。这种同步形式也出现在其他系统中，但它与其他同步形式混合出现或被其掩盖，本文通过其他三种不同混沌振荡器模型所观察到的动态行为示例对此进行了说明。
