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Showing 1 to 2 of 2 for “"Atlas Algorithms"”.
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Multidimensional continuation of families of periodic orbits
In this work, we develop an atlas algorithm for continuation of piecewise polynomial discretizations of periodic orbits of ordinary differential equations. Such an algorithm generates a discretized representation of a manifold of such orbits embedded in a larger variable space. Each chart …
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On the problem of parallelizing manifold covering algorithms
Continuation methods are numerical algorithms used to determine the solution space of systems of nonlinear equations with associated sets of parameters. Such methods have been very successful in computing solution manifolds of dimension one. For higher dimensional manifolds, different techniques …