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In recent years, the theory of complex dynamics has attracted a lot of attention due to the important role that they play in various fields of applications.In this book, we study the Mandelpinski structure in the parameter plane of McMullen family. Mandelpinski structure is usually described as a certain fractal structure associated with baby Mandelbrot sets and Sierpinski holes in the parameter plane of McMullen family. There have been discovered many Mandelpinski structures such as Mandelpinski ring, Mandelpinski spokes and Mandelpinski maze. Mandelpinski ring is a curve passing thorough...

In Greek mythology, the chimera was a three-headed, fire-breathing monster---partly lion, partly goat, partly serpent. In the nonlinear dynamics community, however, the chimera state refers to a similarly incongruent pattern, coexistence of coherence and incoherence in networks of coupled oscillators. The chimera phenomenon has fundamental implications that the processes occurring in nature favor a less symmetric configuration, although the underlying principles can be symmetric. Such chimera states have attracted great interest and have been the subject of intensive theoretical...