Results 201 to 210 of about 3,607 (229)

Response of a Nonlinear Form of the Mathieu Equation

The Journal of the Acoustical Society of America, 1971
This communication presents the results of an investigation of the response of a nonlinear form of the Mathieu equation in the first unstable region. The equation of interest is a Mathieu equation plus a cubic nonlinearity. The response consists of a modulated one-half subharmonic of the parametric-excitation frequency.
openaire   +2 more sources

On the Width of the Instability Intervals of the Mathieu Equation

SIAM Journal on Mathematical Analysis, 1984
It is shown that the width of the m-th instability interval of the Mathieu equation is given asymptotically by \[ (8h^{2m}/4^ m[(m- 1)!]^ 2)[1+O(h^ 4/m^ 2)]. \] The method of proof is based on a continued fraction technique using three term recursion formulas.
openaire   +2 more sources

An Experimental Investigation of a Nonlinear Mathieu Equation

IMA Journal of Applied Mathematics, 1987
The behaviour of the simplest periodic solutions of two nonlinear Mathieu equations is considered. One of the most interesting features of the experimental solutions is that their amplitudes are usually of order unity, so that the nonlinear term cannot be treated as a small perturbation.
openaire   +2 more sources

Solution of Mathieu's Type of Secular Equations

Journal of Mathematical Physics, 1970
A discussion is given for the general solution of a secular equation with all other matrix elements equal to zero except Hii, Hi i+h, and Hi+h i. Both the eigenvalue and the amplitudes of the corresponding eigenfunction are expressed in terms of continued fractions of the matrix elements.
openaire   +1 more source

Asymptotic solutions of mathieu equation with damping

Applied Mathematics and Mechanics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Stability and bifurcation of Mathieu–Duffing equation

International Journal of Non-Linear Mechanics, 2022
Mohsen Azimi
exaly  

Mathieu Equation

2020
openaire   +1 more source

Exact solutions of the 1D Schrödinger equation with the Mathieu potential

Physics Letters, Section A: General, Atomic and Solid State Physics, 2020
Guo-Hua Sun, Chang-Yuan Chen, Hind Taud   +2 more
exaly  

A QUASIPERIODIC MATHIEU EQUATION

1997
RICHARD RAND, RANDOLPH ZOUNES, RACHEL HASTINGS   +2 more
openaire   +1 more source

Solutions of the Mathieu Equation

Transactions of the American Institute of Electrical Engineers, 1948
Harry J. Gray, Richard Merwin, J. G. Brainerd   +2 more
openaire   +1 more source