On the computation of attractors for delay differential equations
| Autor: | Michael Dellnitz, Adrian Ziessler, Mirko Hessel-von Molo |
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| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Dynamical systems theory
Computer science business.industry Computation Computational Mechanics Delay differential equation Dynamical Systems (math.DS) 01 natural sciences 010305 fluids & plasmas 010101 applied mathematics Computational Mathematics 0103 physical sciences Attractor FOS: Mathematics Embedding theory Applied mathematics Embedding 0101 mathematics Invariant (mathematics) Mathematics - Dynamical Systems business Subdivision |
| Popis: | In this work we present a novel framework for the computation of finite dimensional invariant sets of infinite dimensional dynamical systems. It extends a classical subdivision technique [Dellnitz/Hohmann 1997] for the computation of such objects of finite dimensional systems to the infinite dimensional case by utilizing results on embedding techniques for infinite dimensional systems. We show how to implement this approach for the analysis of delay differential equations and illustrate the feasibility of our implementation by computing invariant sets for three different delay differential equations. |
| Databáze: | OpenAIRE |
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