A Graphically Enhanced Method for Computing Real Roots of Nonlinear Functions
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Mathematica's built-in function FindRoot is the preferred method for finding a zero of a nonlinear function . However, determining all the zeros of in a specified interval using FindRoot can be challenging, as this requires having good initial guesses for all the roots. In some cases, the initial guesses can be found by examining the asymptotic structure of as , but this is not always possible.
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Contributed by: Housam Binous and Brian G. Higgins (February 2012)
Open content licensed under CC BY-NC-SA
Snapshots
Details
The Lorenz equations in chaotic dynamics are
,
,
,
.
The zeros of the function satisfy .
Reference
[1] S. Wagon, Mathematica® in Action: Problem Solving through Visualization and Computation, 3rd ed., Berlin: Springer-Verlag, 2010.
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