Lorenz63: Lorenz-1963 system
In GPoM.FDLyapu: Lyapunov Exponents and Kaplan-Yorke Dimension
Description
Usage
Format
Author(s)
References
Description
The Lorenz-1963 model is a three-dimensional model obtained
by Edouard N. Lorenz in 1963. The system reads
dX/dt = -σ Y -σ Z
dY/dt = X (ρ - Z) - Y
dZ/dt = X Y - β Z.
For (σ, ρ, β) = (10,28,8/3), it produces a chaotic
behavior. The chaotic attractor reached at the convergence
has become paradigmatic of chaos.
Its formulation can be visualized using
visuEq(nVar = 4, dMax = 2, K = Lrz63$KL, approx = 2)
Usage
1
Format
An object of class list of length 2.
Author(s)
Sylvain Mangiarotti sylvain.mangiarotti@cesbio.cnes.fr
References
Lorenz, Edward Norton (1963). "Deterministic nonperiodic flow".
Journal of the Atmospheric Sciences. 20 (2): 130–141.
GPoM.FDLyapu documentation built on Aug. 29, 2019, 5:05 p.m.
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Description Usage Format Author(s) References
Description
The Lorenz-1963 model is a three-dimensional model obtained by Edouard N. Lorenz in 1963. The system reads dX/dt = -σ Y -σ Z dY/dt = X (ρ - Z) - Y dZ/dt = X Y - β Z. For (σ, ρ, β) = (10,28,8/3), it produces a chaotic behavior. The chaotic attractor reached at the convergence has become paradigmatic of chaos. Its formulation can be visualized using visuEq(nVar = 4, dMax = 2, K = Lrz63$KL, approx = 2)
Usage
1 |
Format
An object of class list of length 2.
Author(s)
Sylvain Mangiarotti sylvain.mangiarotti@cesbio.cnes.fr
References
Lorenz, Edward Norton (1963). "Deterministic nonperiodic flow". Journal of the Atmospheric Sciences. 20 (2): 130–141.
R Package Documentation
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We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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