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Synchronization of linearly coupled networks of deterministic ratchets |
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| Authors: | Pingli Lu Ying Yang Lin Huang |
| Institution: | aState Key Lab for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China |
| Abstract: | This Letter focuses on the synchronization in a class of dynamical complex networks with each node being a deterministic ratchet. In virtue of the technique derived from pendulum-like nonlinear analytic theory and Kalman–Yakubovich–Popov (KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization of such networks. An interesting conclusion is reached that the stability of synchronization in the coupled whole N-dimensional networks can be converted into that of the simplest 2-dimensional space. |
| Keywords: | Dynamical complex networks Deterministic ratchets Synchronization Pendulum-like system Linear matrix inequality |
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