Uniformly valid solution of limit cycle of the Duffing-van der Pol equation
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Publication:985979
DOI10.1016/j.mechrescom.2009.06.001zbMath1273.70036OpenAlexW2009659872MaRDI QIDQ985979
Publication date: 9 August 2010
Published in: Mechanics Research Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mechrescom.2009.06.001
Related Items (7)
On the limit cycles, period-doubling, and quasi-periodic solutions of the forced van der Pol-Duffing oscillator ⋮ Series solution for large deflections of a cantilever beam with variable flexural rigidity ⋮ Fractional derivative and time delay damper characteristics in Duffing-van der Pol oscillators ⋮ An analytical approach to investigate the response and stability of Van der Pol-Mathieu-Duffing oscillators under different excitation functions ⋮ Sufficient conditions for the existence of periodic solutions of the extended Duffing–Van der Pol oscillator ⋮ A homotopy analysis method for limit cycle of the van der Pol oscillator with delayed amplitude limiting ⋮ Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method
Cites Work
- Unnamed Item
- A new method based on the harmonic balance method for nonlinear oscillators
- A study of homotopy analysis method for limit cycle of van der Pol equation
- Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. II: A new transformation
- An analytic approximate approach for free oscillations of self-excited systems
- On the homotopy analysis method for nonlinear problems.
- Closed-form solution for a cantilevered sectorial plate subjected to a twisting tip moment
- On the homotopy analysis method for non linear vibration of beams
- Homotopy analysis method for limit cycle flutter of airfoils
- AN ELLIPTIC PERTURBATION METHOD FOR CERTAIN STRONGLY NON-LINEAR OSCILLATORS
- Series Solutions of Unsteady Boundary‐Layer Flows over a Stretching Flat Plate
- Power Series Expansions for the Frequency and Period of the Limit Cycle of the Van Der Pol Equation
- On the periodic solution of the van der Pol equation for small values of the damping parameter
- A Second-Order Approximate Analytical Solution of a Simple Pendulum by the Process Analysis Method
- COMPLEX NORMAL FORM FOR STRONGLY NON-LINEAR VIBRATION SYSTEMS EXEMPLIFIED BY DUFFING–VAN DER POL EQUATION
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