An Adaptive Box Refinement in Subdivision Techniques for the Approximation of Dynamical Behavior
Please always quote using this URN: urn:nbn:de:0297-zib-2464
- Recently subdivision techniques have been introduced in the numerical investigation of complicated 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.
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| Author: | Michael Dellnitz, Oliver Junge |
|---|---|
| Document Type: | ZIB-Report |
| Date of first Publication: | 1996/11/19 |
| Series (Serial Number): | ZIB-Report (SC-96-36) |
| ZIB-Reportnumber: | SC-96-36 |
| Published in: | Appeared under the title "An Adaptive Subdivision Technique for the Approximation of Attractors and Invariant Measures" in: Computing and Visualization in Science 1 (1998) 63-68 |
