Masoller C, Cavalcante H L, Leite J R
Instituto de Física, Facultad de Ciencias, Universidad de la República, Igua 4225, Montevideo 11400, Uruguay.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 2):037202. doi: 10.1103/PhysRevE.64.037202. Epub 2001 Aug 14.
We study the synchronization of logistic maps in a one-way coupling configuration. The master system is coupled to the slave system with a delay n(1), and the slave is a delayed logistic map with a delay n(2). We show that when the slave system has no delay (n(2)=0), perfectly synchronized solutions exist for strong enough coupling. In these solutions the slave variable y is retarded with respect to the master variable x with a retardation equal to the delay of the coupling [y(i+n(1))=x(i)]. When n(2) not equal 0, a regime of generalized synchronization is observed, where y(i+n(1)) is synchronized with x(i), but not completely, since the master and the slave systems obey different maps. We introduced a similarity function as an indicator of the degree of synchronization and, using a noisy master source, distinguished synchronization from noise-induced correlations.
我们研究单向耦合配置下逻辑斯谛映射的同步。主系统通过延迟n(1)与从系统耦合，从系统是具有延迟n(2)的延迟逻辑斯谛映射。我们表明，当从系统没有延迟（n(2)=0）时，对于足够强的耦合存在完全同步解。在这些解中，从变量y相对于主变量x延迟，延迟量等于耦合延迟[y(i + n(1)) = x(i)]。当n(2)不等于0时，观察到一种广义同步状态，其中y(i + n(1))与x(i)同步，但不完全同步，因为主系统和从系统遵循不同的映射。我们引入了一个相似性函数作为同步程度的指标，并使用有噪声的主源，将同步与噪声诱导的相关性区分开来。
