Integrability, chaos and nonlinear superposition formulas for differential matrix Riccati equations

  • M. A. del Olmo
  • M. Rodríguez
  • P. Winternitz
V. Other Topics
Part of the Lecture Notes in Physics book series (LNP, volume 263)


We point out that nonlinear superposition principles can be used to identify integrable systems of nonlinear ordinary differential equations among families of nonintegrable ones. A superposition formula is then obtained for a class of integrable equations, namely the matrix Riccati equations.


Riccati Equation Nonlinear Ordinary Differential Equation Maximal Parabolic Subgroup Matrix Riccati Equation Superposition Formula 
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • M. A. del Olmo
    • 1
  • M. Rodríguez
    • 1
  • P. Winternitz
    • 1
  1. 1.Centre de Recherches MathématiquesUniversité de MontréalMontréalCanada

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