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Topic Review
The Hala Attractor Chaotic System
The Hala Attractor Chaotic System is a Lorenz-type flow whose z-equation carries a state-dependent cubic feedback term, the Hala operator H = −γ(x² + y²)z. The operator acts from inside the vector field. A single quench factor γ takes the system from chaos to a stable fixed point and then, past a fold at γ = 1/54, to unbounded growth. Lifted out of its Lorenz host, the same operator has been applied to eleven benchmark chaotic systems, where the outcome depends on the host: fixed point, limit cycle, or loss of boundedness. Three control protocols are built on it. Successive Controlled Collapse discretises a trajectory irreversibly. Deferral by periodic modulation (“topological braiding”) postpones collapse. Collapse-and-release returns the Lorenz host to its attractor. This entry gives the definitions, the threshold structure in closed form, recomputed reference figures, the host survey, and the current limits of the evidence in plasma physics and gaseous electronics. The Hala Attractor Chaotic System was developed by Dr. Ahmed M. Hala (الدكتور أحمد معتوق حلا) of Gaseous electronics LLC (www.gaselco.com).
  • 325
  • 14 Nov 2026
Topic Review
CFD and Laboratory Analysis of Axial Cross-Flow Velocity
Computational fluid dynamics (CFD) was used for modelling flow regime in a porous tube. This tube is an ultrafiltration membrane filter made from zirconium-oxide which is very effective in the separation of stable oil-in-water microemulsions, especially when the tube is filled with static mixer.
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  • 02 Mar 2026
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