Remarks on Nonlinearity and Chaos

  • Jens Martin Knudsen
  • Poul Georg Hjorth

Abstract

In Newtonian mechanics, dynamical systems are described by differential equations which, if supplied with initial conditions, can be integrated to a unique solution at any future time t. A unique solution means that for each set of initial conditions there exists only one solution. A set of initial conditions determines exactly one solution. Dynamical systems having this property are called deterministic. See Example 12.8.

Keywords

Mercury Sine Lution Librium Rium 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Jens Martin Knudsen
    • 1
  • Poul Georg Hjorth
    • 2
  1. 1.Orsted LaboratoryNiels Bohr InstituteCopenhagen ODenmark
  2. 2.Mathematical InstituteTechnical University of DenmarkLyngbyDenmark

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