The Synchronization of Two Metriplectic Systems Arisen from the Lü System

Camelia Pop

doi:10.4028/www.scientific.net/AEF.8-9.471

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HomeAdvanced Engineering ForumAdvanced Engineering Forum Vols. 8-9The Synchronization of Two Metriplectic Systems...

The Synchronization of Two Metriplectic Systems Arisen from the Lü System

Abstract:

The concept of the metriplectic system was introduced in 1980s by Kaufman (see [). These have important applications in a lot of different mathematical fields, in fluid mechanics or information security. Beginning with the Hamilton-Poisson realization of the Lü system (see [ for details) we construct the associated metriplectic system by adding a dissipation term of a special form. Then, using Pecora and Carroll method, we discuss the synchronization of the two coupled metriplectic systems. In the last part we present an example where the synchronization is used.

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Periodical:

Advanced Engineering Forum (Volumes 8-9)

Pages:

471-479

DOI:

https://doi.org/10.4028/www.scientific.net/AEF.8-9.471

Citation:

Cite this paper

Online since:

June 2013

Authors:

Camelia Pop

Keywords:

Asymptotic Stability, Hamilton-Poisson Realization, Metriplectic System, Synchronization

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Creative Commons CC BY 4.0

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