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Bifurcation Analysis

The first thing of interest to note about this system is that it undergoes a period-doubling bifurcation as the parameter $ c$ is increased. To see how the system evolves as $ c$ increases, we cut the band with a section of a plane perpendicular to the flow and graph the distance from the origin vs. the value of $ c$ each time the trajectory crosses our plane.

Kevin Kesseler 2003-07-24