By Chai Wah Wu
This e-book brings jointly rising study parts: synchronization in coupled nonlinear structures and complicated networks, and research stipulations lower than which a posh community of dynamical platforms synchronizes. whereas there are various texts that learn synchronization in chaotic structures or homes of complicated networks, there are few texts that examine the intersection of those very energetic and interdisciplinary learn components. the most topic of this e-book is that synchronization stipulations could be concerning graph theoretical homes of the underlying coupling topology. The booklet introduces principles from structures thought, linear algebra and graph idea and the synergy among them which are essential to derive synchronization stipulations. a few of the effects, which were received quite lately and feature formerly no longer seemed in textbook shape, are provided with whole proofs. this article is acceptable for graduate-level examine or for researchers who wish to be higher accustomed to the newest study during this zone.
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