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Dynamische Systeme – Mathematik der Zeit

In: Springer-Handbuch der Mathematik IV

Author

Listed:
  • Eberhard Zeidler

    (Max-Planck-Institut für Mathematik, Naturwissenschaften)

Abstract

Zusammenfassung Dem Umstand, dass Poincaré es unternahm, das schwierige Dreikörperproblem erneut zu behandeln und der Lösung näher zu führen, verdanken wir die fruchtbaren Methoden und weittragenden Prinzipien, die dieser Gelehrte der Himmelsmechanik erschlossen hat. David Hilbert (1900) Viele Prozesse in Natur und Technik hängen wesentlich von der Zeit ab. Das Ziel der allgemeinen Theorie der dynamischen Systeme besteht darin, solche zeitabhängigen Prozesse mathematisch zu modellieren, ihre wesentlichen qualitativen Eigenschaften zu beschreiben und vorherzusagen.

Suggested Citation

  • Eberhard Zeidler, 2013. "Dynamische Systeme – Mathematik der Zeit," Springer Books, in: Eberhard Zeidler (ed.), Springer-Handbuch der Mathematik IV, edition 127, chapter 13, pages 261-310, Springer.
    • Handle: RePEc:spr:sprchp:978-3-658-00289-3_4
    DOI: 10.1007/978-3-658-00289-3_4
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