Скачать или смотреть Lu Chen Chaotic attractor nonlinear system | Butterfly Effect | Chaos Theory

Lu-Chen chaotic attractor is shown here. The nonlinear system of ordinary differential equations with specific initial conditions is solved
numerically and the resulting trajectory is shown through a 3 dimensional animation.
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Here are the initial conditions used for the solution shown:
initial condition 1 = (0,0,2)
initial condition 2 = (0,0,0.5)

Reference: http://www.3d-meier.de/tut19/Seite81....


Here are some links to other attractors that I animated.

Sprott-Linz F :    • A Simple three-dimensional quadratic auton...  
Sprott-Linz D :    • Simplest three-dimensional quadratic auton...  

Aizawa attractor :    • Aizawa Chaotic attractor| Animation | Chao...  

TSUCS1 attractor :    • Three-Scroll Unified Chaotic System (TSUCS...  

TSUCS2 attractor :    • [TSUCS2] Three-Scroll Unified Chaotic Syst...  




Since Lorenz found the first chaotic attractor in a smooth three-dimensional autonomous system, later chaotic attractors were developed, for example the Rossler system, the Sprott system, the Chen system, the Lu system, the generalized Lorenz system family, and the hyperbolic type of the generalized Lorenz canonical form. Here one of such attractor is shown in this video.


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