Last Update May 6, 2000 　日本語はこちら

#### NUMERICAL SPACE / CHAOS1

Searching Chaos on WWW I can see many interesting various pages. Among them "(Burning!) Chaos Page" is of value for reference. This URL treats many sorts of Chaos with JAVA and especially plain explanation.
To tell the truth I treated Chaos again because a friend informed me a page "The Lorenz Attractor in 3D". I knew the Lorenz Attractor on this page and saw that the Lorenz Attractor could be expressed by cylinder as POV. I followed "The Lorenz Attractor in 3D" on the way for nonlinear differential equations.

 Ed N. Lorenz, a meterologist, studied these equations and showed them a sort of Chaos.dx/dt= -10x +10ydy/dt= 28x -y -xzdz/dt= -8/3z +xyI used just these equations and gave different initial positions for 3 objects. But they seem to have same pattern. Scene file : lpchlrbc.txt
Lorenz Attractor Basic / 54k / May 2000 / by Tsutomu Higo

 I tried the generation by many changed parameters. In many cases they converged on objects like these springs.These 3 springs are same. Scene file : lpchlrb1.txt
Lorenz Attractor Spring / 41k / May 2000 / by Tsutomu Higo

 This is another result like above Lorenz Attractor Basic.These 3 objects are same. Scene file : lpchlrb2.txt
Lorenz Attractor Modification / 59k / May 2000 / by Tsutomu Higo

 This shows how the repeated pattern is formed.These 2 objects are same. Scene file : lpchlrb3.txt
Lorenz Attractor Twins / 29k / May 2000 / by Tsutomu Higo

 I like these combination of simple spring shape and curious curve. Scene file : lpchlrb4.txt
Lorenz Attractor Curve / 49k / May 2000 / by Tsutomu Higo

 An attractor called Rossler is generated by these equations.dx/dt= -y -zdy/dt= x +0.36y dz/dt= 0.4x -4.5z +xz These three objects are same. I made this on the basis of contents in "(Burning!) Chaos Page". Scene file : lpchrslr.txt
Rossler Attractor / 60k / May 2000 / by Tsutomu Higo