arctan x2
very neat
soon
soon
This sequence shows the dynamics of a 2D iterative map. The arctan xx movie shows the same evolution.
Tuesday, June 6, 2006
a = 3.46
This is the orbit diagram for the above 2D -> 2D iteration. It has Jacobian 1 which means that it does not contract inwards or expand outwards.
The orbits were computed for a startup grid evenly distributed in the visible portion of the plane. 300 iterations were computed for each startup point.
In the center the orbits cycle about a central fixed point. As one goes out from the center, the
Tuesday, June 6, 2006
a = 3.52
This is the orbit diagram for the above 2D -> 2D iteration. It has Jacobian 1 which means that it does not contract inwards or expand outwards.
The orbits were computed for a startup grid evenly distributed in the visible portion of the plane. 300 iterations were computed for each startup point.
In the center the orbits cycle about a central fixed point. As one goes out from the center, the
Tuesday, June 6, 2006
a = 3.68
This is the orbit diagram for the above 2D -> 2D iteration. It has Jacobian 1 which means that it does not contract inwards or expand outwards.
The orbits were computed for a startup grid evenly distributed in the visible portion of the plane. 300 iterations were computed for each startup point.
In the center the orbits cycle about a central fixed point. As one goes out from the center, the
Tuesday, June 6, 2006
a = 4.55
This is the orbit diagram for the above 2D -> 2D iteration. It has Jacobian 1 which means that it does not contract inwards or expand outwards.
The orbits were computed for a startup grid evenly distributed in the visible portion of the plane. 300 iterations were computed for each startup point.
In the center the orbits cycle about a central fixed point. As one goes out from the center, the
Saturday, May 6, 2006
a = 4.714
This is the orbit diagram for the above 2D -> 2D iteration. It has Jacobian 1 which means that it does not contract inwards or expand outwards.
The orbits were computed for a startup grid evenly distributed in the visible portion of the plane. 300 iterations were computed for each startup point.
In the center the orbits cycle about a central fixed point. As one goes out from the center, the
