Cubication of conservative nonlinear oscillators

DOI10.1088/0143-0807/30/5/006zbMath1257.65048OpenAlexW2086977219WikidataQ99713703 ScholiaQ99713703MaRDI QIDQ3638959

Augusto Beléndez, Elena Fernández, Inmaculada Pascual, Mariela L. Álvarez

Publication date: 28 October 2009

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10045/11283

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99) Numerical quadrature and cubature formulas (65D32) Numerical methods for ordinary differential equations (65L99)

Related Items (10)

``Quintication method to obtain approximate analytical solutions of non-linear oscillators ⋮ Approximate solutions for the nonlinear pendulum equation using a rational harmonic representation ⋮ Exact solution for the unforced Duffing oscillator with cubic and quintic nonlinearities ⋮ An accurate closed-form approximate solution for the quintic Duffing oscillator equation ⋮ Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method ⋮ A transformation method for solving conservative nonlinear two-degree-of-freedom systems ⋮ Accurate solutions of conservative nonlinear oscillators by the enhanced cubication method ⋮ Analytical approximate solutions for the cubic-quintic Duffing oscillator in terms of elementary functions ⋮ Global residue harmonic balance method for Helmholtz-Duffing oscillator ⋮ EQUIVALENT POWER-FORM REPRESENTATION OF THE FRACTAL TODA OSCILLATOR

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