# Three-dimensional cooperative irreducible systems with a first integral

Colloquium Mathematicae (1998)

- Volume: 76, Issue: 2, page 181-190
- ISSN: 0010-1354

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topMierczyński, Janusz. "Three-dimensional cooperative irreducible systems with a first integral." Colloquium Mathematicae 76.2 (1998): 181-190. <http://eudml.org/doc/210558>.

@article{Mierczyński1998,

author = {Mierczyński, Janusz},

journal = {Colloquium Mathematicae},

keywords = {three-dimensional cooperative irreducible systems; ordinary differential equations; first integral},

language = {eng},

number = {2},

pages = {181-190},

title = {Three-dimensional cooperative irreducible systems with a first integral},

url = {http://eudml.org/doc/210558},

volume = {76},

year = {1998},

}

TY - JOUR

AU - Mierczyński, Janusz

TI - Three-dimensional cooperative irreducible systems with a first integral

JO - Colloquium Mathematicae

PY - 1998

VL - 76

IS - 2

SP - 181

EP - 190

LA - eng

KW - three-dimensional cooperative irreducible systems; ordinary differential equations; first integral

UR - http://eudml.org/doc/210558

ER -

## References

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- [2] M. W. Hirsch, Systems of differential equations which are competitive or cooperative. I. Limit sets, SIAM J. Math. Anal. 13 (1982), 167-179. Zbl0494.34017
- [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. Zbl0658.34024
- [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. Zbl0737.34032
- [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. Zbl0615.34027
- [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. Zbl0821.34003
- [10] I. Tereščák, Dynamics of ${C}^{1}$ smooth strongly monotone discrete-time dynamical systems, preprint.

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