Rössler-network with time delay: Univariate impulse pinning synchronization

Rössler had a brilliant and successful life as a scientist during which he published a benchmark dynamical system by using an electronic circuit interpreting chemical reactions. This is our contribution to honor his splendid erudite career. It is a hot topic to regulate a network behavior using the...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2020-12, Vol.30 (12), p.123101-123101
Main Authors: Tian, Kun, Ren, Hai-Peng, Grebogi, Celso
Format: Article
Language:English
Subjects:
Chemical reactions
Circuits
Electronic circuits
Nodes
Perturbation
Pinning
Synchronism
Time lag
Time synchronization
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Summary:Rössler had a brilliant and successful life as a scientist during which he published a benchmark dynamical system by using an electronic circuit interpreting chemical reactions. This is our contribution to honor his splendid erudite career. It is a hot topic to regulate a network behavior using the pinning control with respect to a small set of nodes in the network. Besides pinning to a small number of nodes, small perturbation to the node dynamics is also demanded. In this paper, the pinning synchronization of a coupled Rössler-network with time delay using univariate impulse control is investigated. Using the Lyapunov theory, a theorem is proved for the asymptotic stability of synchronization in the network. Simulation is given to validate the correctness of the analysis and the effectiveness of the proposed univariate impulse pinning controller.
ISSN:1054-1500
1089-7682
DOI:10.1063/5.0017295