ULTIMATE BOUND FOR AN ACTIVE LORENZ SYSTEM

Considering the Lorenz-like model [1] derived from Active Model H for scalar active matter introduced by Tiribocchi et al. [2], we investigate the ultimate bound and global attractive sets for the system, and obtain the ultimate bound characterized by an ellipsoid and a global exponential attractive set for the system.

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Publication Details

Journal
Far East Journal of Mathematical Sciences (FJMS)
Published
2024-11-04
DOI
https://doi.org/10.17654/0972087125003
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

ULTIMATE BOUND FOR AN ACTIVE LORENZ SYSTEM

Carol Cui, Zhenlu Cui
Far East Journal of Mathematical Sciences (FJMS)
Stability and Controllability of Differential Equations
article

ULTIMATE BOUND FOR AN ACTIVE LORENZ SYSTEM

Carol Cui, Zhenlu Cui
article en

Abstract

Considering the Lorenz-like model [1] derived from Active Model H for scalar active matter introduced by Tiribocchi et al. [2], we investigate the ultimate bound and global attractive sets for the system, and obtain the ultimate bound characterized by an ellipsoid and a global exponential attractive set for the system.

Far East Journal of Mathematical Sciences (FJMS)Vol. 142(1)
Openalex Percentile: Top 77%
Stability and Controllability of Differential Equations
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ULTIMATE BOUND FOR AN ACTIVE LORENZ SYSTEM — Carol Cui, Zhenlu Cui · Far East Journal of Mathematical Sciences (FJMS) (2024) | TGRS Research Map | TGRS