A qualitative study of the N-dimensional Lane-Emden equation.

Details A qualitative study of the N-dimensional Lane-Emden equation. A qualitative study of the N-dimensional Lane-Emden equation.

Oct 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996crasb.323..561b&link_type=abstract

Comptes Rendus de l'Academie des Sciences, Sér. II, Fasc. b, Tome 323, No. 8, p. 561 - 567

Mathematics

Logic

Polytropes: Numerical Simulations

Scientific paper

The paper includes a qualitative study of the N-dimensional (N = 1,2,3) Lane-Emden equation, written as a two-dimensional autonomous nonlinear system of ordinary differential equations by using Milne's homological invariant variables. The discussion is made for both positive and negative polytropic indices. At the end, the author surveys the type of orbits that appear in phase portrait of the system for each value of N and various polytropic indices.

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