Exact and approximate expressions for the period of anharmonic oscillators

European Journal of Physics

Volumn 26, Issue 4, 2005, Pages 589-601

  Amore, Paolo ^a   Fernández, Francisco M ^b  

^a UNIVERSIDAD DE COLIMA   (Mexico)

^b INSTITUTO DE INVESTIGACIONES FISICOQUÍMICAS TEÓRICAS Y APLICADAS INIFTA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ELEMENTARY PARTICLE SOURCES; EQUATIONS OF MOTION; HARMONIC ANALYSIS; OSCILLATORS (ELECTRONIC); PERTURBATION TECHNIQUES; POLYNOMIALS; POTENTIAL ENERGY;

ANHARMONIC OSCILLATORS; NEWTON EQUATION OF MOTION; OSCILLATORY MOTION; TAYLOR SERIES;

CONTINUUM MECHANICS;

EID: 19944416559     PISSN: 01430807     EISSN: 01430807     Source Type: Journal    
DOI: 10.1088/0143-0807/26/4/004     Document Type: Article

References (8)

1. Becker R A 1954 Introduction to Theoretical Mechanics (New York: McGraw-Hill) chapter 7
2. Kittel C, Knight W D and Ruderman M A 1962 Mechanics (New York: McGraw-Hill) chapter 7
3. Nayfeh A H 1981 Introduction to Perturbation Techniques (New York: Wiley)
4. Apostol B F 2003 J. Theor. Phys. 86 1
5. Weinberg S 1972 Gravitation and Cosmology (New York: Wiley)
6. Amore P and Sáenz R A 2004 The period of a classical oscillator Preprint math-ph/0405030
7. Amore P, Aranda A, Fernández F M and Sáenz R 2005 Systematic perturbation of integrals with applications to physics Phys. Rev. E 71 016704
8. Landau L D and Lifshitz E M 1960 Mechanics (Oxford: Pergamon)