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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

JACOBI-MAUPERTUIS METRIC OF LIENARD TYPE EQUATIONS AND JACOBI LAST MULTIPLIER

Author(s):
Chanda, Sumanto [1] ; Ghose-Choudhury, Anindya [2] ; Guha, Partha [3, 4]
Total Authors: 3
Affiliation:
[1] SN Bose Natl Ctr Basic Sci, JD Block, Sect 3, Kolkata 700098 - India
[2] Surendranath Coll, Dept Phys, 24-2 Mahatma Gandhi Rd, Kolkata 700009 - India
[3] Inst Fis Sao Carlos, Caixa Postal 369, BR-13560970 Sao Carlos, SP - Brazil
[4] Univ Sao Paulo, IFSC, Caixa Postal 369, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Electronic Journal of Differential Equations; JUN 15 2018.
Web of Science Citations: 0
Abstract

We present a construction of the Jacobi-Maupertuis (JM) principle for an equation of the Lienard type, x<(x)double over dot> + f (x)<(x)over dot>(2) + g (x) = 0, using Jacobi's last multiplier. The JM metric allows us to reformulate the Newtonian equation of motion for a variable mass as a geodesic equation for a Riemannian metric. We illustrate the procedure with examples of Painleve-Gambier XXI, the Jacobi equation and the Henon-Heiles system. (AU)

FAPESP's process: 16/06560-6 - Nonlinear dynamics and gravity
Grantee:Betti Hartmann
Support type: Research Grants - Visiting Researcher Grant - International