WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 10, 2015
Chart of Solutions of the Two Degrees of Freedom - Dynamical System of the Coupled Non-Linear Double Oscillator for Various Sets of Parameter Values of its Potential
Authors: ,
Abstract: This paper presents the approximate general solution of the axi-symmetric, two-degree of freedom dynamical system of the coupled non-linear double oscillator corresponding to a third order polynomial potential. The general solution is approximated through a set of initial conditions that generate symmetric periodic solutions and a set of initial conditions that generate escape solutions. We give the chart of initial conditions of solutions for various sets of parameter values A and B representing the coefficients of the second degree terms in x and y, respectively, appearing in the polynomial potential, while we retain constant, e.g. b=0.5, the coefficient of the third degree term x y2.
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Keywords: Non-linear double oscillator, escape solutions, third order potential, periodic symmetric solutions
Pages: 148-153
WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 10, 2015, Art. #15