Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00033-011-0119-2.pdf
Reference24 articles.
1. Almeida M.A., Magalhães M.E., Moreira I.C.: Lie symmetries and invariants of the Lotka-Volterra system. J. Math. Phys. 36, 1854–1867 (1995)
2. Andrade R.F.S., Rauh A.: The Lorenz model and the method of Carleman embedding. Phys. Lett. A 82, 276–278 (1981)
3. Bountis T., Grammaticos B., Ramani A.: On the complete and partial integrability of non-Hamiltonian systems. Phys. Rep. 180, 159 (1989)
4. Brenig, L., Goriely, A.: A quasimonomial transformations and integrability. Partially integrable evolution equations in physics (Les Houches, 1989), pp. 571–572, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 310. Kluwer, Dordrecht (1990)
5. Cairó L., Giacomini H., Llibre J.: Liouvillian first integrals for the planar Lotka-Volterra systems. Rendiconti del circolo matematico di Palermo 53, 389–418 (2003)
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