A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator

  title={A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator},
  author={A. Braz and L. G. S. Duarte and L. A. C. P. da Mota},
  journal={Comput. Phys. Commun.},

Modeling the Influence of Electromagnetic Interference on Failures in the Operation of Clock Generators

The influence of electromagnetic impulse interference on operation stability of clock generators is theoretically studied. The Van der Pol oscillator is used as a mathematical model of the generator.

Permanent Oscillation for a System of n Coupled Unbalance Damped Duffing Oscillators with Delays

  • C. Feng
  • Engineering, Mathematics
  • 2021
In this paper, a system of n coupled damped Duffing resonators driven by m van der Pol oscillators with delays is studied. Some sufficient conditions to ensure the permanent oscillation for the



Solving second-order ordinary differential equations by extending the Prelle-Singer method

The method is an attempt to address algorithmically the solution of second-order ODEs with solutions in terms of elementary functions and focuses not on the final solution but on the first-order invariants of the equation.


In this article, under certain parametric conditions, we study the first integrals of the Dung-van der Pol-type oscillator equations which in- clude the van der Pol and the Dung oscillator systems,

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We study dynamics of the Duffing–Van der Pol driven oscillator. Periodic steady-state solutions of the corresponding equation are determined within the Krylov-Bogoliubov-Mitropolsky approach to yield

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It is investigated how two (standard or generalized) $\lambda-$symmetries of a given second-order ordinary differential equation can be used to solve the equation by quadratures. The method is based

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A method for finding general solutions of second-order nonlinear ordinary differential equations by extending the Prelle–Singer (PS) method is briefly discussed. We explore integrating factors,

Liouvillian integrability of polynomial differential systems

M.F. Singer [Liouvillian first integrals of differential equations, Trans. Amer. Math. Soc. 333 (1992), 673--688] proved the equivalence between Liouvillian integrability and Darboux integrability