Smooth Schur factorizations in the continuation of separatrices |
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Authors: | Jorge Rebaza |
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Institution: | Department of Mathematics, Missouri State University, Springfield, MO 65897, USA |
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Abstract: | Numerical computation of separatrices as general connecting orbits in dynamical systems is performed, and their continuation as problem parameters vary is approached via a direct application of smooth block Schur factorizations of Jacobians and monodromy matrix functions. Several numerical examples are presented to illustrate the effectiveness of the algorithms used. |
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Keywords: | 15A23 65L99 |
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