Periodic solutions of multi-degree-of-freedom strongly nonlinear coupled van der Pol oscillators by homotopy analysis method
From MaRDI portal
Publication:539312
DOI10.1007/s00707-010-0405-7zbMath1331.70065OpenAlexW2067040716MaRDI QIDQ539312
Wei Zhang, Youhua Qian, Siu-Kai Lai, Minghui Yao
Publication date: 27 May 2011
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-010-0405-7
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99) Numerical methods for ordinary differential equations (65L99)
Related Items (5)
Asymptotic analytical solutions of the two-degree-of-freedom strongly nonlinear van der Pol oscillators with cubic couple terms using extended homotopy analysis method ⋮ Extended homotopy analysis method for multi-degree-of-freedom non-autonomous nonlinear dynamical systems and its application ⋮ Study on asymptotic analytical solutions using HAM for strongly nonlinear vibrations of a restrained cantilever beam with an intermediate lumped mass ⋮ Approximate limit cycles of coupled nonlinear oscillators with fractional derivatives ⋮ Analytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol-Duffing oscillators by extended homotopy analysis method
Cites Work
- Unnamed Item
- Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs
- On the analytic solutions of the nonhomogeneous Blasius problem
- A new method for homoclinic solutions of ordinary differential equations
- Construction of analytic solution to chaotic dynamical systems using the homotopy analysis method
- Approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution
- Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method
- Applying homotopy analysis method for solving differential-difference equation
- 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
- Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation
- Solving systems of ODEs by homotopy analysis method
- On a new reliable modification of homotopy analysis method
- An optimal homotopy-analysis approach for strongly nonlinear differential equations
- 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
- Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt
- An analytic approximate approach for free oscillations of self-excited systems
- The application of homotopy analysis method to nonlinear equations arising in heat transfer
- Solution of delay differential equation by means of homotopy analysis method
- The limit cycle of the van der Pol equation is not algebraic
- On the homotopy analysis method for nonlinear problems.
- Homotopy perturbation method for bifurcation of nonlinear problems
- Asymptotology by homotopy perturbation method
- 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
- On the MHD flow of a second-grade fluid in a porous channel
- Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
- Analytical solution for the steady flow of the third-grade fluid in a porous half-space
- AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
- An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
This page was built for publication: Periodic solutions of multi-degree-of-freedom strongly nonlinear coupled van der Pol oscillators by homotopy analysis method
