The main purpose of this Letter is to introduce a new class of non-linear oscillator equations which model generalized one-dimensional harmonic oscillators and provide a preliminary analysis of some of their important properties. These equations take the form
MORE ON GENERALIZED HARMONIC OSCILLATORS
β Scribed by H. HU
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 58 KB
- Volume
- 250
- Category
- Article
- ISSN
- 0022-460X
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Titleof program: TAMOBR bracket, generalized harmonic oscillator bracket, harmonic oscillator Catalogue number: ABGR Nature of the physical problem Program obtainable from: CPC Program Library, Queen's The generalized harmonic oscillator brackets [11 form the University of Belfast, N. Ireland (see a
Title of program (32 characters maximum): OSCILLATOR BRACKETS
The relativistic harmonic oscillator is solved by an inverse fractional power series as has been done for the simple pendulum. The striking similarity of these two kinds of non-linear motion is thus demonstrated. The entire analysis is amply dealt with, without resort to elliptic integrals.