A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator
@article{Braz2017AGO, 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.}, year={2017}, volume={254}, pages={107306} }
2 Citations
Modeling the Influence of Electromagnetic Interference on Failures in the Operation of Clock Generators
- Physics2020 7th All-Russian Microwave Conference (RMC)
- 2020
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
- 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…
References
SHOWING 1-10 OF 34 REFERENCES
Solving second-order ordinary differential equations by extending the Prelle-Singer method
- Mathematics, Computer Science
- 2001
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.
Dealing with Rational Second Order Ordinary Differential Equations where both Darboux and Lie Find It Difficult: The $S$-function Method
- Computer ScienceComput. Phys. Commun.
- 2019
Finding first order differential invariants through the S-function
- MathematicsComput. Phys. Commun.
- 2016
An extension of the Prelle–Singer method and a Maple implementation☆
- Mathematics, Computer Science
- 2002
FIRST INTEGRALS FOR THE DUFFING-VAN DER POL TYPE OSCILLATOR
- Mathematics
- 2010
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,…
The Duffing – Van der Pol Equation : Metamorphoses of Resonance Curves
- Mathematics
- 2015
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…
$\lambda-$Symmetries and integrability by quadratures
- Mathematics
- 2016
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…
On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations
- MathematicsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2005
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
- Mathematics
- 2013
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…