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Lie and Morse theory for periodic orbits of vector fields and matrix Riccati equations, II

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Abstract

In this paper, elementary techniques from linear algebra and elementary properties of the Grassmann manifolds are used to prove the existence of periodic orbits and to study the equilibrium structure of Riccati differential equations.

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References

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Author information

Authors and Affiliations

  1. Association for Physical and Systems Mathematics, 53 Jordan Road, Brookline, Massachusetts, USA

    Robert Hermann

  2. Department of Mathematics and Statistics, Case Institute of Technology, Case Western Reserve University, Cleveland, Ohio, USA

    Clyde Martin

Authors
  1. Robert Hermann
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  2. Clyde Martin
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Additional information

Supported in part by NASA Grants #2384 and NAG-82 and DOE Contract #DE-AC01-80RA-5256

Supported in part by NASA Grant #NSG-2402, ARMY Grant #ILIG1102RHN7-05 and the National Science Foundation.

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Hermann, R., Martin, C. Lie and Morse theory for periodic orbits of vector fields and matrix Riccati equations, II. Math. Systems Theory 16, 297–306 (1983). https://doi.org/10.1007/BF01744584

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  • DOI: https://doi.org/10.1007/BF01744584

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