On KAM theory

  • Henk Broer
  • Floris Takens
Part of the Applied Mathematical Sciences book series (AMS, volume 172)


As a motivation for this chapter we refer to the historical remarks of §2.2.5 and the references given there. The main question is to what extent a quasi-periodic subsystem, as defined in §2.2.3, is persistent under a small perturbation of the whole system, or say, under variation of parameters; see §3.2.


Rotation Number Translation System Periodic Attractor Small Divisor Diophantine Condition 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Johann Bernoulli Institute for Mathematics and Computer ScienceUniversity of GroningenGroningenThe Netherlands

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