Rössler-network with time delay: Univariate impulse pinning synchronization

Kun Tian, Hai Peng Ren* (Corresponding Author), Celso Grebogi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
9 Downloads (Pure)


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.
Original languageEnglish
Article number123101
Number of pages12
Issue number12
Early online date1 Dec 2020
Publication statusPublished - Dec 2020

Bibliographical note

This paper was supported in part by the Shaanxi Provincial Special Support Program for Science and Technology Innovation Leader.


  • R¨ossler-Network with time delay
  • univariate impulse control
  • pinning strategy
  • synchronization theorem


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