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Bifurcations and symmetry changes in crystals

  • T. Janssen
  • J. A. Tjon
Session IV — Crystal Groups and Their Representations
Part of the Lecture Notes in Physics book series (LNP, volume 180)

Abstract

Bifurcation theory and the theory of discrete area-preserving mappings are both related to models for structural phase transitions in crystals. Here it is shown how to apply these theories to a lattice problem. On the other hand the latter throws a new light on the former theories. Special attention is paid to the role of symmetry of the system.

Keywords

Unit Circle Trivial Solution Structural Phase Transition Soft Mode Symplectic Mapping 
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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References

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    D.H.Sattinger,Group Theoretic Methods in Bifurcation Theory, Lecture Notes in Mathematics 762,Springer,Berlin (1979)Google Scholar
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • T. Janssen
    • 1
  • J. A. Tjon
    • 2
  1. 1.Institute for Theoretical PhysicsUniversity of NijmegenHolland
  2. 2.Institute for Theoretical PhysicsUniversity of UtrechtHolland

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