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    Electronic Resource
    Electronic Resource
    An adaptive subdivision technique for the approximation of attractors and invariant measures (1998)
    Springer
    Computing and visualization in science 1 (1998), S. 63-68 
    Details
    ISSN: 1433-0369
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. Recently subdivision techniques have been introduced in the numerical investigation of the temporal behavior of dynamical systems. In this article we intertwine the subdivision process with the computation of invariant measures and propose an adaptive scheme for the box refinement which is based on the combination of these methods. Using this new algorithm the numerical effort for the computation of box coverings is in general significantly reduced, and we illustrate this fact by several numerical examples.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s007910050006
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