Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method
From MaRDI portal
Publication:720219
DOI10.1016/j.cnsns.2009.11.027zbMath1222.65092OpenAlexW1993727080WikidataQ112880612 ScholiaQ112880612MaRDI QIDQ720219
Publication date: 13 October 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.11.027
Related Items (10)
Asymptotic analytical solutions of the two-degree-of-freedom strongly nonlinear van der Pol oscillators with cubic couple terms using extended homotopy analysis method ⋮ Influence of thermal radiation and Joule heating in the Eyring-Powell fluid flow with the Soret and Dufour effects ⋮ Parametric resonance of multi-frequency excited MEMS based on homotopy analysis method ⋮ A novel chaos synchronization of uncertain mechanical systems with parameter mismatchings, external excitations, and chaotic vibrations ⋮ Homotopy analysis method for homoclinic orbit of a buckled thin plate system ⋮ A closed-form solution for nonlinear oscillation and stability analyses of the elevator cable in a drum drive elevator system experiencing free vibration ⋮ Study on a Multi-Frequency Homotopy Analysis Method for Period-Doubling Solutions of Nonlinear Systems ⋮ Approximate limit cycles of coupled nonlinear oscillators with fractional derivatives ⋮ Fractional derivative and time delay damper characteristics in Duffing-van der Pol oscillators ⋮ Analytical solutions of nonlinear system of fractional-order van der Pol equations
Cites Work
- Unnamed Item
- Analytical solution for van der Pol-Duffing oscillators
- A new method for homoclinic solutions of ordinary differential equations
- Construction of analytic solution to chaotic dynamical systems using the homotopy analysis method
- Sub-harmonic resonances of nonlinear oscillations with parametric excitation by means of the homotopy analysis method
- Notes on the homotopy analysis method: some definitions and theorems
- A study of homotopy analysis method for limit cycle of van der Pol equation
- An optimal homotopy-analysis approach for strongly nonlinear differential equations
- A one-step optimal homotopy analysis method for nonlinear differential equations
- Coupled Van der Pol-Duffing oscillators: phase dynamics and structure of synchronization tongues
- Solitary wave solutions to the Kuramoto-Sivashinsky equation by means of the homotopy analysis method
- Solution of coupled system of nonlinear differential equations using homotopy analysis method
- Dynamics of three coupled van der Pol oscillators with application to circadian rhythms
- Dynamical analysis of two coupled parametrically excited van der Pol oscillators
- An analytic approximate approach for free oscillations of self-excited systems
- The application of homotopy analysis method to nonlinear equations arising in heat transfer
- Uniformly valid solution of limit cycle of the Duffing-van der Pol equation
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The limit cycle of the van der Pol equation is not algebraic
- On the homotopy analysis method for nonlinear problems.
- Existence of limit cycles for coupled van der Pol equations.
- The dynamics of two coupled van der Pol oscillators with delay coupling
- Nonlinear oscillations with parametric excitation solved by homotopy analysis method
- On the homotopy analysis method for non linear vibration of beams
- Newton-homotopy analysis method for nonlinear equations
- Homotopy analysis method for limit cycle flutter of airfoils
- Derivation of the Adomian decomposition method using the homotopy analysis method
- On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder
- The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
This page was built for publication: Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method
