| Issue |
EPL
Volume 100, Number 6, December 2012
|
|
|---|---|---|
| Article Number | 60006 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/100/60006 | |
| Published online | 08 January 2013 | |
Nonsingular parametric oscillators Darboux-related to the classical harmonic oscillator
1 IPICyT, Instituto Potosino de Investigacion Cientifica y Tecnologica - Apdo Postal 3-74 Tangamanga, 78231 San Luis Potosí, Mexico
2 Facultad de Ingeniería, Universidad Autónoma de Querétaro, Centro Universitario Cerro de las Campanas 76010 Santiago de Querétaro, Mexico
3 Leung Center for Cosmology and Particle Astrophysics and Department of Physics and Graduate Institute of Astrophysics, National Taiwan University - Taipei, 10617 Taiwan
Received: 31 October 2012
Accepted: 30 November 2012
Interesting nonsingular parametric oscillators which are Darboux-related to the classical harmonic oscillator and have periodic dissipative/gain features are identified through a modified factorization method. The same method is applied to the upside-down (hyperbolic) “oscillator” for which the obtained Darboux partners show transient underdamped features.
PACS: 02.30.Hq – Ordinary differential equations / 45.50.Dd – General motion / 45.20.D- – Newtonian mechanics
© EPLA, 2012
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