Construction of approximate periodic solutions to a modified van der Pol oscillator
From MaRDI portal
Publication:708609
DOI10.1016/j.nonrwa.2010.05.021zbMath1364.34019OpenAlexW2001690858MaRDI QIDQ708609
G. E. Drăgănescu, Vasile Marinca
Publication date: 14 October 2010
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.05.021
periodic solutionapproximate methodnonlinear oscillationiteration proceduremodified van der Pol equation
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34)
Related Items
Multiple scales scheme for bifurcation in a delayed extended van der Pol oscillator ⋮ Numerical simulation of van der Pol equation using multiple scales modified Lindstedt-Poincaré method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Determination of limit cycles for a modified \textit{van der Pol} oscillator
- Generating the periodic solutions for forcing van der Pol oscillators by the iteration perturbation method
- Non-linear oscillator limit cycle analysis using a time transformation approach
- Dynamics of piecewise linear oscillators with van der Pol type damping
- The method of matched asymptotic expansions for the periodic solution of the Van der Pol equation
- On the limit cycle of a generalized van der Pol equation
- A modified iteration perturbation method for some nonlinear oscillation problems
- Solutions to van der Pol's equation using a perturbation method
- Iteration procedure for determining approximate solutions to non-linear oscillator equations
- MODIFIED MICKENS PROCEDURE FOR CERTAIN NON-LINEAR OSCILLATORS
- A generalized iteration procedure for calculating approximations to periodic solutions of “truly nonlinear oscillators”
- Solutions of nonlinear oscillators with fractional powers by an iteration procedure
- Perturbation procedure for the Van der Pol oscillator based on the Hopf bifurcation theorem
- Perturbation Analysis of the Limit Cycle of the Free van der Pol Equation
