Results in Mathematics

, Volume 14, Issue 3–4, pp 309–317 | Cite as

On Periodic Solutions of the Periodic

  • K. Y. Guan
  • J. Gunson
  • H. S. Hassan


By treating the periodic Riccati equation
as a dynamical system on the sphere S, the number and stability of its periodic solutions are determined. Using properties of Moebius transformations, an exact algebraic relation is obtained between any periodic solution and any complex-valued periodic solution. This leads to a new method for constructing the periodic solutions.


Periodic Solution Riccati Equation Invariant Circle Stable Interval Floquet Exponent 
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Copyright information

© Birkhäuser Verlag, Basel 1988

Authors and Affiliations

  • K. Y. Guan
    • 1
  • J. Gunson
    • 1
  • H. S. Hassan
    • 1
  1. 1.Department of MathematicsUniversity of Birmingham/EnglandEngland

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