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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

Phase Space Equilibrium Point Nonlinear Differential Equation Solution Curve Stable Equilibrium Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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