Your browser does not fully support modern features. Please upgrade for a smoother experience.
Subject:
All Disciplines Arts & Humanities Biology & Life Sciences Business & Economics Chemistry & Materials Science Computer Science & Mathematics Engineering Environmental & Earth Sciences Medicine & Pharmacology Physical Sciences Public Health & Healthcare Social Sciences
Sort by:
Most Viewed Latest Alphabetical (A-Z) Alphabetical (Z-A)
Filter:
All Topic Review Biography Peer Reviewed Entry Video Entry
Topic Review
The Hala Attractor Chaotic System
The Hala attractor is a Lorenz-type chaotic system augmented by a state-dependent nonlinear feedback term, the Hala (حلا) operator, which acts as an internal quenching mechanism rather than as an externally applied control signal. The system is named after its originator, Dr. Ahmed M. Hala (الدكتور أحمد معتوق حلا). A modified formulation bridges dissipative and Hamiltonian-like chaos, and a hybrid spatiotemporal formulation is interpreted against experimental Langmuir probe current–voltage characteristics obtained in quiescent physical plasma. Applied beyond its original Lorenz host to include eleven canonical chaotic systems, the operator drives the largest Lyapunov exponent negative in ten, and produces sustained convergence to a fixed point in four, the remaining hosts terminating on one-dimensional invariant sets or diverging. Three control protocols are described: Successive Controlled Collapse (SCC), an irreversible discretization that replaces the continuous flow with a programmable discrete point set; reversible control, which restores the original attractor geometry after temporary stabilization; and topological braiding, which defers the onset of collapse by periodically restoring local instability.
  • 255
  • 31 Jul 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.
  • 15
  • 02 Mar 2026
  • Page
  • of
  • 2
Featured Entry Collections
>>

Featured Reprints

>>
Encyclopedia of Digital Society, Industry 5.0 and Smart City
Encyclopedia of Engineering
Encyclopedia of Social Sciences
Encyclopedia of Medieval Royal Iconography
Academic Video Service
Feedback