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Trigonometric simplification of a class of conservative nonlinear oscillators
Nonlinear normal modes Stability Trigonometrification
2015/8/27
Thispaperdealswithaclassofconservative nonlinear oscillators of the form ¨ x(t) + f (x(t)) = 0,where f (x) is analytic. A transformation of time fromt to a new time coordinate τ is defined such that p...
2:1 Resonance in the delayed nonlinear Mathieu equation
Averaging Degenerate Hopf Delay Nonlinear Mathieu Parametric excitation
2015/8/27
We investigate the dynamics of a delayed nonlinear Mathieu equation:¨ x + (δ + εα cost)x + εγx 3 = εβx(t − T) in the neighborhood of δ = 1/4. Three different phe-nomena are combined in this syst...
The study on the nonlinear computations of the DQ and DC methods
the nonlinear computations the DQ and DC methods
2010/10/22
This article points out that the differential quadrature (DQ) and differential cubature (DC) methods, due to their global domain property, are more efficient for nonlinear problems than the traditiona...