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In this article, we introduce the concept of local community structure in directed networks and provide a generic criterion to describe a local community with two properties.
Based on the Lyapunov stabilization theory and Gerschgorin theorem, a simple generic criterion is derived for global synchronization of two coupled chaotic systems with a unidirectional linear error feedback coupling.
QLACS generic summary scale was correlated with other generic criterion measures, SF-36 MCS (r = − 0.74) and EQ-VAS (r = − 0.63).
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New generic criteria of global chaos synchronization and strict theoretical proofs are given.
Based on Lyapunov stability theory, some simple yet generic criteria for exponential synchronization have been derived.
The generic criteria can be satisfied by choosing nine suitable coupled coefficients of three coupled chaotic systems.
Generic criteria and indicator (C&I) frameworks have been the focus of recent work on sustainable forest management.
In the recent work, the authors propose the simple generic criteria for realizing the chaos synchronization respectively according to the way of coupling.
Some novel yet generic criteria for global exponential stability of such neural networks are derived by establishing an extended Halanay differential inequality on impulsive delayed dynamical systems.
Some generic criteria for pinning global synchronization of such dynamical network are presented based on Lyapunov stability theory on delayed dynamical systems.
From Figs. 1 and 2, we can see that the two generic criteria of global chaos synchronization are effective; at the same time, the three coupled (even more) identical chaotic systems can be a foundation for chaos secure communication.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com