Elliptic balance solution of two-degree-of-freedom, undamped, forced systems with cubic nonlinearity
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Publication:842151
DOI10.1007/S11071-006-9119-8zbMath1181.70028OpenAlexW2065985405MaRDI QIDQ842151
Alex Elías-Zúñiga, Millard F. jun. Beatty
Publication date: 22 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-006-9119-8
Related Items (3)
Elliptic balance solution of two-degree-of-freedom, undamped, forced systems with cubic nonlinearity ⋮ A nonlinear oscillatory system subjected to driving forces of elliptic type ⋮ ON TWO-SCALE DIMENSION AND ITS APPLICATION FOR DERIVING A NEW ANALYTICAL SOLUTION FOR THE FRACTAL DUFFING’S EQUATION
Cites Work
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- Stability of limit cycles and bifurcations of generalized van der Pol oscillators: \(\ddot X+AX-2BX^ 3+\epsilon (z_ 3+z_ 2X^ 2+z_ 1X^ 4)\dot X=0\)
- Elliptic balance solution of two-degree-of-freedom, undamped, forced systems with cubic nonlinearity
- Averaging using elliptic functions: Approximation of limit cycles
- Stability of a body supported by a simple vehicular shear suspension system
- ``Cubication of non-linear oscillators using the principle of harmonic balance
- An elliptic Lindstedt-Poincaré method for certain strongly nonlinear oscillators
- On defining equivalent systems for certain ordinary non-linear differential equations
- Construction of approximate analytical solutions to a new class of non-linear oscillator equations
- Amplitude decay of damped non-linear oscillators studied with jacobian elliptic functions
- Extension and improvement to the Krylov-Bogoliubov methods using elliptic functions
- AN ELLIPTIC PERTURBATION METHOD FOR CERTAIN STRONGLY NON-LINEAR OSCILLATORS
- Improvement of a Krylov-Bogoliubov method that uses Jacobi elliptic functions
- On the application of elliptic functions in non-linear forced oscillations
- Quasi-pure-cubic oscillators studied using a krylov-Bogoliubov method
- A generalized form of an approximate solution to a strongly non-linear, second-order, differential equation
- PERIODIC SOLUTIONS OF STRONGLY QUADRATIC NON-LINEAR OSCILLATORS BY THE ELLIPTIC PERTURBATION METHOD
- ANALYTICAL METHODS FOR SOLVING STRONGLY NON-LINEAR DIFFERENTIAL EQUATIONS
- PERIODIC SOLUTIONS OF STRONGLY QUADRATIC NON-LINEAR OSCILLATORS BY THE ELLIPTIC LINDSTEDT–POINCARÉ METHOD
- An extension to the method of Kryloff and Bogoliuboff†
- On the transient solution of the unforced duffing equation with large damping†
- An approximate solution to a strongly non-linear, second-order, differential equation
- A generalization of the method of harmonic balance
- Averaging methods in nonlinear dynamical systems
- Forced vibrations of a body supported by hyperelastic shear mountings
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