## Analytical and Classical Mechanics of Integrable Mixed and Quadratic Liénard Type Oscillator Equations

**Authors:** J. Akande, D. K. K. Adjaï, L. H. Koudahoun, Y. J. F. Kpomahou, M. D. Monsia

The Lagrangian description of a dynamical system from the equation of motion consists of an inverse problem in mechanics. This problem is solved for a class of exactly integrable mixed and quadratic Liénard type oscillator equations from a given first integral of motion. The dynamics of this class of equations, which contains the generalized modified Emden equation, also known as the second-order Riccati equation, and the inverted versions of the Mathews-Lakshmanan equations, is then investigated from Hamiltonian and Lagrangian points of view.

**Comments:** 4 pages

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### Submission history

[v1] 2016-08-17 14:44:03

[v2] 2016-09-15 07:53:55

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