Analytical solutions of the system of two coupled pure cubic non-linear oscillators equations

Journal of Sound and Vibration

Volumn 245, Issue 3, 2001, Pages 571-580

  Cveticanin, L ^a  

^a University of Novi   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EQUATIONS OF MOTION; HAMILTONIANS; NONLINEAR EQUATIONS; OSCILLATORS (MECHANICAL);

JACOBI ELLIPTIC FUNCTION; KRYLOV-BOGOLUBOV METHOD;

DEGREES OF FREEDOM (MECHANICS);

EID: 0035899373     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3549     Document Type: Editorial

References (15)

1. Construction of approximate analytical solutions to a new class of non-linear oscillator equations
2. Extension and improvement to the Krylov-Bogolubov methods using elliptic functions
3. The conservation laws and the exact solutions for the singular non-linear oscillator
4. An elliptic perturbation method for certain strongly non-linear oscillators
5. The elliptic multiple scales method for a class of autonomous strongly non-linear oscillators
6. Subharmonic Melnikov functions for strongly odd non-linear oscillators with large perturbations
7. Some particular solutions which describe the motion of the rotor
8. Analytical methods for solving strongly non-linear differential equations
9. Periodic solutions of some complex-valued Lienard and Rayleigh equations
10. The motion of a two mass system with non-linear connection
11. Improvement of a Krylov-Bogolubov method that uses Jacobi elliptic functions