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Artículos sobre la dinámica del oscilador de van der Pol
Estimación del período (o la
frecuencia) de oscilación
(7/10/03)
- M. Urabe, Periodic
Solutions of van der Pol's Equations with Large Damping Coefficient l
= 0 ~
10,
IRE Transactions on Circuit Theory, Vol. 7, No. 4, Dec 1960, pp. 382-386.
- A. Bridgman, The
Maximum Amplitude of Oscillations Described by van der Pol's Equation,
IRE Transactions on Circuit Theory, Vol. 8, No. 3, Sep 1961, pp. 359-359.
- P. Ponzo, N. Wax, On
the Periodic Solution of the van der Pol Equation, IEEE
Transactions on Circuits and Systems, Vol. 12, No. 1, Mar 1965, pp. 135-136.
- Shui-Sheng
Qiu, I. Filanovsky, Periodic
solutions of the Van der Pol equation with moderate values of damping
coefficient, IEEE Transactions on Circuits and Systems, Vol.
34, No. 8 ,
Aug 1987, pp. 913-918.
- C. M. Andersen, J. F. Geer, Power
Series Expansions for the Frequency and Period of the Limit Cycle of
the van der Pol Equation, SIAM J. Appl. Math, Vol. 42,
No.
3, June 1982, pp. 678-693.
- A. Nicholson, Periodic
Solutions of van der Pol and Duffing Equations, IEEE
Transactions on Circuits and Systems, Vol. 12, No. 4, Dec 1965, pp. 595-597.
- R. A. Struble, The free
oscillations of van der Pol's equation, en Nonlinear
Differential Equations, McGraw Hill, 1962, pp. 236-239.
- A. Buonomo, On the
periodical solution of the van der Pol's equation for small values of
the damping parameter, International Journal on
Circuit Theory and Applications, vol. 26, 1998, 39-59.
- A. Buonomo, The
periodic solution of the van der Pol's equation, SIAM
Journal on Applied Mathematics, Vol. 59, No. 1, pp. 156-171.
Artículos interesantes
(7/19/03)
- J. Guckenheimer, Dynamics
of the van der Pol equation, IEEE
Transactions on Circuits and Systems,
Vol.
27, No. 11,
Nov 1980, pp. 983-989.
- R. Goldwyn, K. Cox, Limit
cycle construction using Liapunov functions, IEEE Transactions
on Automatic Control, Vol. 10, No. 1, Jan 1965,
pp. 97-99.
Notas biográficas sobre Balthasar van
der Pol
(7/19/03)
- F. Stumpers, Balth.
van der Pol's Work on Nonlinear Circuits, IRE Transactions on
Circuit Theory, Vol. 7, No. 4,
Dec 1960, pp. 366-367.
- N. DeClaris, In
Memoriam of Prof. Dr. Balthasar van der Pol, IRE Transactions
on Circuit Theory, Vol. 7, No. 4, Dec 1960, pp. 360-361.
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