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ULTIMATE BOUND FOR AN ACTIVE LORENZ SYSTEM
Keywords:
non-equilibrium system, active matter, dynamics, attractorDOI:
https://doi.org/10.17654/0972087125003Abstract
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.
Received: September 3, 2024
Accepted: October 16, 2024
References
T. R. Kirkpatrick and J. K. Bhattacherjee, Driven active matter: fluctuations and a hydrodynamic instability, Phys. Rev. Fluids 4 (2019), 024306.
A. Tiribocchi, R. Wittkowski, D. Marenduzzo and M. Cates, Active model H: scalar active matter in a momentum-conserving fluid, Phys. Rev. Lett. 115 (2015), 188302.
Aritra Das, J. K. Bhattacharjee and T. R. Kirkpatrick, Transition to turbulence in driven active matter, Phys. Rev. E 101 (2020), 023103.
M. C. Marchetti et al., Hydrodynamics of soft active matter, Rev. Mod. Phys. 85 (2013), 1143.
Ricard Alert, Jaume Casademunt and Jean-François Joanny, Active turbulence, Annu. Rev. Condens. Matter Phys. 13 (2022), 143-170.
J. Bhattacharjee and T. Kirkpatrick, Activity induced turbulence in driven active matter, Phys. Rev. Fluids 7 (2022), 034602.
G. Leonov, Bound for attractors and the existence of homoclinic orbit in the Lorenz system, J. Appl. Math. Mech. 65 (2001), 19-32.
L. M. Pecora and T. L. Carroll, Synchronization in chaotic systems, Phys. Rev. Lett. 64 (1990), 821-824.
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