Department of Physics, Presidency University, Kolkata 700073, India.
Chaos. 2011 Mar;21(1):013106. doi: 10.1063/1.3539802.
We report a method of engineering generalized synchronization (GS) in chaotic oscillators using an open-plus-closed-loop coupling strategy. The coupling is defined in terms of a transformation matrix that maps a chaotic driver onto a response oscillator where the elements of the matrix can be arbitrarily chosen, and thereby allows a precise control of the GS state. We elaborate the scheme with several examples of transformation matrices. The elements of the transformation matrix are chosen as constants, time varying function, state variables of the driver, and state variables of another chaotic oscillator. Numerical results of GS in mismatched Rössler oscillators as well as nonidentical oscillators such as Rössler and Chen oscillators are presented.
我们提出了一种利用开环-闭环耦合策略在混沌振子中实现广义同步（GS）的方法。这种耦合是通过一个变换矩阵来定义的，该矩阵将一个混沌驱动映射到一个响应振子上，其中矩阵的元素可以任意选择，从而可以精确控制 GS 状态。我们通过几个变换矩阵的例子详细说明了这个方案。变换矩阵的元素被选为常数、时变函数、驱动的状态变量和另一个混沌振荡器的状态变量。给出了在不匹配的 Rössler 振荡器以及非相同振荡器（如 Rössler 和 Chen 振荡器）中实现 GS 的数值结果。
