International Journal of Theoretical Physics

, Volume 42, Issue 1, pp 85–88 | Cite as

Chaotic Maps, Invariants, Bose Operators, and Coherent States

  • W.-H. Steeb
  • Y. Hardy
Article

Abstract

We first show how an autonomous system of ordinary first-order difference equations can be embedded into a Hilbert space description by using Bose operators and coherent states. Then we describe how an invariant can be expressed using Bose operators. Two examples are given.

Bose operators coherent states nonlinear difference equation linearization 

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References

  1. Kowalski K. and Steeb, W.-H. (1991). Nonlinear Dynamical Systems and Carleman Linearization, World Scientific, Singapore.Google Scholar
  2. Steeb, W.-H. (2002). Problems and Solutions in Theoretical and Mathematical Physics. Vol. II: Advanced Level, 2nd edn., World Scientific, Singapore.Google Scholar

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • W.-H. Steeb
    • 1
    • 2
  • Y. Hardy
    • 1
  1. 1.International School for Scientific ComputingRand Afrikaans UniversitySouth Africa
  2. 2.University of Applied SciencesSolothurnSwitzerland

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