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math-phSep 15, 2004
48
citations (OpenAlex)
authors
  • Paolo Amore
  • Francisco M. Fernandez
institutions
  • Consejo Nacional de Investigaciones Científicas y Técnicas
  • Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
  • Universidad de Colima
  • Universidad Nacional de La Plata
arXiv abstractPDF
paper

Exact and approximate expressions for the period of anharmonic oscillators

arXiv:math-ph/0409034 · doi:10.1088/0143-0807/26/4/004

Abstract

In this paper we present a straightforward systematic method for the exact and approximate calculation of integrals that appear in formulas for the period of anharmonic oscillators and other problems of interest in classical mechanics.

arXiv comment7 pages

References in corpus (1)

  • Systematic perturbation calculation of integrals with applications to physics

Cited by in corpus (7)

  • Dynamics and Stability of an Optically Levitated Mirror
  • Anharmonic oscillator: A playground to get insight into renormalization
  • The Solution to the Differential Equation with Linear Damping describing a Physical Systems governed by a Cubic Energy Potential
  • Energy partition for anharmonic, undamped, classical oscillators
  • Effect of nonlocal transformations on the linearizability and exact solvability of the nonlinear generalized modified Emden type equations
  • A method for classical and quantum mechanics
  • A non-perturbative method for time-dependent problems in quantum mechanics
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