Results 261 to 270 of about 13,243,241 (294)

On Certain Solutions of Van der Pol's Equation

1986
The paper deals with the behaviour of certain classes of Cauchy's solutions of Van der Pol's equation. The existence and approximation of one-parameter or two-parameter families of solutions which satisfy certain properties are established.
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An unsymmetrical van der pol equation with stable subharmonics

International Journal of Non-Linear Mechanics, 1985
The behaviour of the possible stable subharmonic solutions of the equation \[ y''-k(1+2cy-y^ 2)y'+y=bk\mu \cos \mu t,\quad c>0,\quad k\quad l\arg e, \] is discussed in the very stable regions, in the very unstable regions and near the extremum values of \(F(y,c)\equiv 1/3y^ 3- cy^ 2-y.\) Their variation as c increases is also considered. The techniques
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Systems of van der pol equations in the resonance case

Ukrainian Mathematical Journal, 1983
Translation from Ukr. Mat. Zh. 34, No.5, 655-656 (Russian) (1982; Zbl 0512.70027).
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On transition processes for the Van der Pol equation

Computational Mathematics and Mathematical Physics, 2007
For the classical Van der Pol equation at −∞
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ON COUPLED VAN DER POL EQUATIONS

The Quarterly Journal of Mechanics and Applied Mathematics, 1980
Palm, Enok, Tveitereid, Morten
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Numerical solutions of the Van der Pol equation

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1960
Die Amplitude und Periode der periodischen Losungen der van der Polschen Gleichung sind fur sehr kleine und fur sehr grosse Werte des Parameters μ durch asymptotische Entwicklungen annahernd bekannt. Fur endliche Werte von μ werden die Resultate von numerischen Integrationsmethoden mitgeteilt, und der Anschluss an die asymptotischen Werte wird ...
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Solutions of the Van der Pol Equation

The College Mathematics Journal, 2023
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Van der pol difference equation

Nonlinear Analysis: Theory, Methods & Applications, 1983
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Van der Pol equation

2020
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On a Van Der Pol Equation with Odd Coefficients

Journal of the London Mathematical Society, 1949
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