A geometric approach to invariant sets for dynamical systems (Q2785987)

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scientific article; zbMATH DE number 5786169
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A geometric approach to invariant sets for dynamical systems
scientific article; zbMATH DE number 5786169

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    16 September 2010
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    invariant sets
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    dynamical systems
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    area functional
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    steepest descent method
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    A geometric approach to invariant sets for dynamical systems (English)
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    This paper presents a procedure for finding invariant sets for dynamical systems through the minimization of an area functional over a certain class of curves of finite length. This procedure is then implemented numerically, for heteroclinic orbits and limit cycles, by means of the steepest descent method.
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