Nature of weak generalized synchronization in chaotically driven maps.
Nature of weak generalized synchronization in chaotically driven maps.
复制标题
混沌驱动地图中弱广义同步的本质。
DOI：
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发表时间：
2013
期刊：
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通讯作者：
R. Ramaswamy
中科院分区：
文献类型：
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作者：
G. Keller;H. H. Jafri;R. Ramaswamy
当响应动力学是驱动器的唯一但不可微的函数时，驱动-响应系统中的弱广义同步发生，其方式类似于在准周期驱动动力系统中形成奇怪的非混沌吸引子。我们考虑了一个混沌驱动的单调映射，并研究了弱广义同步制度下形成的极限集的几何。零集的分形维数的分析和数值研究。我们进一步研究形成的稳定和不稳定集，并测量耦合函数的规律性。平衡测度的稳定性指标和维数谱可以解析计算。
Weak generalized synchrony in a drive-response system occurs when the response dynamics is a unique but nondifferentiable function of the drive, in a manner that is similar to the formation of strange nonchaotic attractors in quasiperiodically driven dynamical systems. We consider a chaotically driven monotone map and examine the geometry of the limit set formed in the regime of weak generalized synchronization. The fractal dimension of the set of zeros is studied both analytically and numerically. We further examine the stable and unstable sets formed and measure the regularity of the coupling function. The stability index as well as the dimension spectrum of the equilibrium measure can be computed analytically.