Control of Chimera States in Oscillator Networks

Control of Chimera States in Oscillator Networks
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Total Pages : 96
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ISBN-10 : OCLC:1224091917
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Book Synopsis Control of Chimera States in Oscillator Networks by : Giulia Ruzzene

Download or read book Control of Chimera States in Oscillator Networks written by Giulia Ruzzene and published by . This book was released on 2020 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial synchronization is an important phenomenon observed in nature and model systems. Chimera states are the most studied type of partially synchronized dynamics and attract interest from many fields of science. In homogeneous networks of identical oscillators, a chimera state is a symmetry broken dynamics in which the oscillators spontaneously split into two complementary groups: one in which they are synchronized and one in which they are not. The quest for chimera states in real-world scenarios has been made challenging by their unstable nature in systems of finite size. Therefore, it became crucial to find ways to control them. In this thesis we propose a new control method based on a pacemaker oscillator. We show how it can control all of the chimeras' instabilities in networks of phase oscillators and we generalized this concept to more complex scenarios by applying it to multiplex networks of phase and FitzHugh-Nagumo oscillators.


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