and the repelling and plane. Specifically it implies that a sequence generated from the Rössler equations will begin to loop around , start being pulled upwards into the vector, creating the upward arm of a curve that bends slightly inward toward the vector before being pushed outward again as it is pulled back towards the repelling plane. For the outlier fixed point, Rössler's original parameter values of , , and yield eigenvalues of: The eigenvectors corresponding to these eigenvalues are: Although these eigenvalues and eigenvectors exist in the Rössler attractor, their influence is confined to iterations of the Rössler system whose initial conditions are in the general vicinity of this outlier fixed point. Except in those cases where the initial conditions lie on the attracting plane generated by and , this influence effectively involves pushing the resulting system towards the general Rössler attractor. As the resulting sequence approaches the central fixed point and the attractor itself, the influence of this distant fixed point (and its eigenvectors) will wane. Poincaré map The Poincaré map is constructed by plotting the value of the function every time it passes through a set plane in a specific direction. An example would be plotting the value every time it passes through the plane where is changing from negative to positive, commonly done when studying the Lorenz attractor. In the case of the Rössler attractor, the plane is uninteresting, as the map always crosses the plane at due to the nature of the Rössler equations. In the plane for , , , the Poincaré map shows the upswing in values as increases, as is to be expected due to the upswing and twist section of the Rössler plot. The number of points in this specific Poincaré plot is infinite, but when a different value is used, the number of points can vary. For example, with a value of 4, there is only one point on the Poincaré map, because the function yields a periodic orbit of period one, or if the value is set to 12.8, there would be six points corresponding to a period six orbit. Mapping local maxima In the original paper on the Lorenz Attractor, Edward Lorenz analyzed the local maxima of against the immediately preceding local maxima. When visualized, the plot resembled the tent map, implying that similar analysis can be used between the map and attractor. For the Rössler attractor, when