Results 171 to 180 of about 3,607 (229)

CyanoHABs and CAPs: assessing community-based monitoring of PM<sub>2.5</sub> with regional sources of pollution in rural, northeastern North Carolina.

open access: yesEnviron Sci Atmos
Plaas HE   +9 more
europepmc   +1 more source

Uniform asymptotic expansions of solutions of the Mathieu equation and the modified Mathieu equation

Journal of Soviet Mathematics, 1979
By the method of the model equation, uniform asymptotic expansions of the Floquet solutions of the Mathieu equation and two linearly independent solutions of the modified Mathieu equation are obtained for any real values of the separation parameter contained in these equations.
N S Grigor'Eva, Grigor'Eva N S
exaly   +4 more sources

Applications of the Mathieu equation

American Journal of Physics, 1996
The properties of the Mathieu equation are reviewed in order to discuss some of the applications that have appeared in recent years. Those mentioned are: vibrations in an elliptic drum, the inverted pendulum, the radio frequency quadrupole, frequency modulation, stability of a floating body, alternating gradient focusing, the Paul trap for charged ...
exaly   +2 more sources

Transition Curves for the Quasi-Periodic Mathieu Equation

SIAM Journal on Applied Mathematics, 1998
The quasi-periodic Mathieu equation \[ \ddot\psi+ \bigl[\delta+ \varepsilon(\cos t+\cos\omega t)\bigr]\psi=0 \] is investigated for small \(\varepsilon\) and irrational \(\omega\). The aim is to obtain a stability diagram in the \(\delta f\)-\(\omega\) plane (for fixed \(\varepsilon)\) for which all solutions are bounded.
Richard H Rand
exaly   +3 more sources

Variational method and Mathieu equation

Journal of Mathematical Physics, 1978
A variational method is developed to study the linear and nonlinear Mathieu equations. For the linear Mathieu equation, various modes of the Mathieu functions, the characteristic curves, and the stability regions are found, which agree with the established results. The variational method is then applied to the nonlinear Mathieu equation.
D Y Hsieh, Hsieh D Y
exaly   +3 more sources

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