Hans H. Diebner's Research

The Lorenz attractor

Bifurcation parameter b = 2.66  (use slider to control)
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Menu for pre-set values of the bifurcation parameters b:
  Chaos (Period-infinity, i.e. a-periodic)

Short description of the Lorenz system

The Lorenz system obeys the set of differential equations
dx/dt = 10(y - x)
dy/dt = x(28 - z) - y
dz/dt = xy - bz
The form of the solution of the differential equation (trajectories) depends on the constant value of the control parameter b.

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