|MadSci Network: Physics|
Hello, Ryan. Youíve asked a good, but very difficult question. Unfortunately, I donít think I can answer it directly. The inflex point, or point of inflection of a dynamical system has some general properties, but if you need help finding such a point youíll have to include more information about the system youíre looking at: the way youíd find one depends entirely on the specifics of your system. It is possible, though, that you could find your inflection point if you had a better handle on the definition, or if you saw some examples of inflection points in other systems. I found a great resource on nonlinear systems, The World of Bifurcation, while searching for information: http://www.bifurcation.de/ This site contains several very informative tutorials, in addition to example dynamical systems which exhibit bifurcations. The tutorials cover not only the types of bifurcation phenomena (some of which arise from inflection points) but also how one traces the equilibrium curves of the system to find them. Another resource is to scan the sci.Nonlinear FAQ: http://amath.colorado .edu/faculty/jdm/faq.html It has a section on bifurcation, along with some further links. A less-useful but more-general resource is the following compendium of links to nonlinear dynamics sites: http://ar chives.math.utk.edu/topics/nonlinearDynamics.html Good luck, and Iím sorry I couldnít be more helpful, - Guy
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