ArticleOriginal scientific text

Title

Three-dimensional cooperative irreducible systems with a first integral

Authors 1

Affiliations

  1. Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Bibliography

  1. B. Grammaticos, J. Moulin-Ollagnier, A. Ramani, J.-M. Strelcyn and S. Wojciechowski, Integrals of quadratic ordinary differential equations in 3: The Lotka-Volterra system, Phys. A 163 (1990), 683-722.
  2. M. W. Hirsch, Systems of differential equations which are competitive or cooperative. I. Limit sets, SIAM J. Math. Anal. 13 (1982), 167-179.
  3. M. W. Hirsch, Systems of differential equations that are competitive or cooperative. II. Convergence almost everywhere, ibid. 16 (1985), 423-439.
  4. M. W. Hirsch, Systems of differential equations which are competitive or cooperative. III. Competing species, Nonlinearity 1 (1988), 51-71.
  5. M. W. Hirsch, C. C. Pugh and M. Shub, Invariant Manifolds, Lecture Notes in Math. 583, Springer, Berlin, 1977.
  6. J. Mierczyński, A class of strongly cooperative systems without compactness, Colloq. Math. 62 (1991), 43-47.
  7. J. Palis and F. Takens, Topological equivalence of normally hyperbolic dynamical systems, Topology 16 (1977), 335-345.
  8. H. L. Smith, Periodic orbits of competitive and cooperative systems, J. Differential Equations 65 (1986), 361-373.
  9. H. L. Smith, Monotone Dynamical Systems. An Introduction to the Theory of Competitive and Cooperative Systems, Math. Surveys Monographs 41, Amer. Math. Soc., Providence, R.I., 1995.
  10. I. Tereščák, Dynamics of C1 smooth strongly monotone discrete-time dynamical systems, preprint.
Pages:
181-190
Main language of publication
English
Received
1997-07-01
Published
1998
Exact and natural sciences