Oscillators with a generalized power-form elastic term

Journal of Sound and Vibration

Volumn 270, Issue 1-2, 2004, Pages 470-472

  Pilipchuk, V N ^a  

^a Wayne State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELASTICITY; FUNCTIONS; HARMONIC ANALYSIS; LYAPUNOV METHODS; OSCILLATORS (MECHANICAL);

ELASTIC BARRIERS; PERIODIC SOLUTIONS;

VIBRATIONS (MECHANICAL);

EID: 1642565392     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00531-5     Document Type: Article

References (7)

1. 4/3 potential, Journal of Sound and Vibration 246 (2001) 375-378.
2. R.E. Mickens, Analysis of non-linear oscillators having non-polynomial elastic terms, Journal of Sound and Vibration 255 (2002) 789-792.
3. (2m+2)/(2n+1) potential, Journal of Sound and Vibration 259 (2003) 977-980.
4. G.V. Kamenkov, Stability and Vibrations of Nonlinear Systems, Vol. 1, Nauka, Moscow, 1972 (in Russian).
5. R.M. Rosenberg, The Ateb(h)-functions and their properties, Quarterly of Applied Mathematics 21 (1963) 37-47.
6. V.N. Pilipchuk, Analytical study of vibrating systems with strong non-linearities by employing saw-tooth time transformations, Journal of Sound and Vibration 192 (1996) 43-64.
7. I.V. Andrianov, Asymptotics of nonlinear dynamical systems with a high degree of nonlinearity, Doklady Mathematics 66 (2002) 270-273.