Analytical and numerical studies of periodic solucions outside potential wells

Anales de Fisica (Spain)

Volumn 92, Issue 3, 1996, Pages 121-125

  Bejarano, J D ^a   Margallo, J G ^a   Mahmoud, G M ^b  

^a UNIVERSITY OF EXTREMADURA   (Spain)

^b Assiut University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347481780     PISSN: 11330376     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. POINCARÉ, H. (1957): "Les Méthodes Nouvelles De La Mecanique Céleste", Dover, New York.
2. GUCKENHEIMER, J. AND HOLMES, P. (1986): "Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields". Springer, New York.
3. LIEBERMAN, M. AND LICHTENBERG, A. (1983): "Regular and Stochastic Motion". Springer, Berlin.
4. MAHMOUD, G. M. (1987): Analytical and Numerical Approaches to Periodic Orbits of Nonlinear Dynamical Systems, Ph. D. Thesis Clarkson University, Postdam, New York.
5. YUSTE, S. B. AND BEJARANO, J. D. (1985): Construction of approximate analytical solutions to a new class of nonlinear equation, J. Sound Vibr. 110, 347.
6. GARCIA-MARGALLO, J., BEJARANO, J. D. AND YUSTE, S. B. (1988): Generalized Fourier Series for the study of limite cycles, J. Sound Vibr. 125, 13.
7. GARCIA-MARGALLO AND BEJARANO, J. D. (1990): Generalized Fourier Serise and limit cycles of Generalized van der Pol oscillators, J. Sound Vibr. 136, 453.
8. 4)ẋ = 0, Int. J. Nonlinear Mech. Vol 25, No 6, 663.
9. GARCIA-MARGALLO, J. AND BEJARANO, J. D. (1992): The limit cycles of the Generalized Rayleigh-Liénard Oscillator, J. Sound Vibr. 156, 283.
10. BEJARANO, J. D. AND SANCHEZ, A. M. (1988): Generalized exponential, circular and hyperbolic functions for nonlinear quantum mechanics, J. of Math. Physics 29, 1847.
11. BEJARANO, J. D. AND SANCHEZ, A. M. (1989): Generalized Fourier series for nonlinear Systems, J. Sound Vibr. 134, 1871.