Accurate Explicit Analytical Solutions of the Duffing-Harmonic Oscillator Equation using Nonlinear Time Transformation
DOI10.5890/JAND.2022.12.012zbMath1505.34058MaRDI QIDQ5106150
Serge Bruno Yamgoué, B. Nana, François Béceau Pelap
Publication date: 16 September 2022
Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Theoretical approximation of solutions to ordinary differential equations (34A45) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)
Cites Work
- Unnamed Item
- Unnamed Item
- Construction of approximate analytical solutions to strongly nonlinear damped oscillators
- Hamiltonian approach to nonlinear oscillators
- Application of the Krylov-Bogoliubov-Mitropolsky method to weakly damped strongly non-linear planar Hamiltonian systems
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- An analytical approximate technique for a class of strongly non-linear oscillators
- Presenting a new method for the solution of nonlinear problems
- Analytical solutions of periodic motions in 1-dimensional nonlinear systems
- Amplitude-frequency relationship obtained using Hamiltonian approach for oscillators with sum of non-integer order nonlinearities
- Homotopy perturbation method: a new nonlinear analytical technique
- A new analytical approach to the Duffing-harmonic oscillator
- Analytical solutions of a generalized Duffing-harmonic oscillator by a nonlinear time transformation method
- Comparison of alternative improved perturbative methods for nonlinear oscillations
- Accurate higher-order approximations to frequencies of nonlinear oscillators with fractional powers
- FOURIER REPRESENTATIONS FOR PERIODIC SOLUTIONS OF ODD-PARITY SYSTEMS
- Harmonic response of a class of finite extensibility nonlinear oscillators
- FOURIER ANALYSIS OF A RATIONAL HARMONIC BALANCE APPROXIMATION FOR PERIODIC SOLUTIONS
- Rational harmonic balance-based approximate solutions to nonlinear single-degree-of-freedom oscillator equations
This page was built for publication: Accurate Explicit Analytical Solutions of the Duffing-Harmonic Oscillator Equation using Nonlinear Time Transformation
