Three-dimensional cooperative irreducible systems with a first integral
Mierczyński, Janusz
Colloquium Mathematicae, Tome 78 (1998), p. 181-190 / Harvested from The Polish Digital Mathematics Library
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     author = {Janusz Mierczy\'nski},
     title = {Three-dimensional cooperative irreducible systems with a first integral},
     journal = {Colloquium Mathematicae},
     volume = {78},
     year = {1998},
     pages = {181-190},
     zbl = {0898.34030},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv76z2p181bwm}
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Mierczyński, Janusz. Three-dimensional cooperative irreducible systems with a first integral. Colloquium Mathematicae, Tome 78 (1998) pp. 181-190. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv76z2p181bwm/

[000] [1] B. Grammaticos, J. Moulin-Ollagnier, A. Ramani, J.-M. Strelcyn and S. Wojciechowski, Integrals of quadratic ordinary differential equations in ℝ3: The Lotka-Volterra system, Phys. A 163 (1990), 683-722. | Zbl 0714.34005

[001] [2] M. W. Hirsch, Systems of differential equations which are competitive or cooperative. I. Limit sets, SIAM J. Math. Anal. 13 (1982), 167-179. | Zbl 0494.34017

[002] [3] M. W. Hirsch, Systems of differential equations that are competitive or cooperative. II. Convergence almost everywhere, ibid. 16 (1985), 423-439.

[003] [4] M. W. Hirsch, Systems of differential equations which are competitive or cooperative. III. Competing species, Nonlinearity 1 (1988), 51-71. | Zbl 0658.34024

[004] [5] M. W. Hirsch, C. C. Pugh and M. Shub, Invariant Manifolds, Lecture Notes in Math. 583, Springer, Berlin, 1977.

[005] [6] J. Mierczyński, A class of strongly cooperative systems without compactness, Colloq. Math. 62 (1991), 43-47. | Zbl 0737.34032

[006] [7] J. Palis and F. Takens, Topological equivalence of normally hyperbolic dynamical systems, Topology 16 (1977), 335-345.

[007] [8] H. L. Smith, Periodic orbits of competitive and cooperative systems, J. Differential Equations 65 (1986), 361-373. | Zbl 0615.34027

[008] [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. | Zbl 0821.34003

[009] [10] I. Tereščák, Dynamics of C1 smooth strongly monotone discrete-time dynamical systems, preprint.