The leapfrog scheme is applied to the Van der Pol equation. When the amplitude of oscillation of the physical mode exceeds a critical value, the computational mode is parametrically excited by the physical mode. The growth of the computational mode interrupts the integration based on the leapfrog sc
The Limit Cycle of the van der Pol Equation Is Not Algebraic
โ Scribed by K. Odani
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 152 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We give a purely analytical perturbation method of solution of the van der Pol equation, whereby the periodic solution can be actually developed in the form of a power series in the damping parameter up to any desired order and thus analysed in detail. The coefficients of the series solution, which
Recently, Mickens and Gumel [1] studied the numerical solutions of a non-standard finitedifference scheme [2] for the van der Pol differential equation
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