### Abstract

We consider two scenarios: First we drop an electric point-like charge with a chosen charge q in a nonuniform electrostatic field. We then seek for the criteria that in the presence of gravity the massive charge steadily oscillates. In the second scenario we drop a permanent magnet with a chosen magnetic dipole moment &mu; in a nonuniform magnetic field of a DC looping current. Similarly, we seek the criteria that in the presence of gravity the massive magnet steadily oscillates as well. In both cases the effective forces are nonlinear and the equations describing the motions are nonlinear analytically unsolvable differential equations. Utilizing Mathematica numeric scheme we solve these equations numerically. Plots of these solutions for selected parameters conducive to equal force couplings unveil the fundamental character differences of the oscillations. For comprehensive visual understanding we simulate the actual oscillations.

Original language | English (US) |
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Title of host publication | Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013 |

Publisher | IEEE Computer Society |

Pages | 46-52 |

Number of pages | 7 |

ISBN (Print) | 9780769550459 |

DOIs | |

State | Published - Jan 1 2013 |

Event | 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013 - Ho Chi Minh City, Viet Nam Duration: Jun 24 2013 → Jun 27 2013 |

### Publication series

Name | Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013 |
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### Other

Other | 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013 |
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Country | Viet Nam |

City | Ho Chi Minh City |

Period | 6/24/13 → 6/27/13 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Computational Theory and Mathematics
- Computer Science Applications

### Cite this

*Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013*(pp. 46-52). [6681099] (Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013). IEEE Computer Society. https://doi.org/10.1109/ICCSA.2013.17

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*Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013.*, 6681099, Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013, IEEE Computer Society, pp. 46-52, 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013, Ho Chi Minh City, Viet Nam, 6/24/13. https://doi.org/10.1109/ICCSA.2013.17

**Comparison of nonlinear oscillations of an electric monopole vs. a magnetic dipole.** / Sarafian, Haiduke.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Comparison of nonlinear oscillations of an electric monopole vs. a magnetic dipole

AU - Sarafian, Haiduke

PY - 2013/1/1

Y1 - 2013/1/1

N2 - We consider two scenarios: First we drop an electric point-like charge with a chosen charge q in a nonuniform electrostatic field. We then seek for the criteria that in the presence of gravity the massive charge steadily oscillates. In the second scenario we drop a permanent magnet with a chosen magnetic dipole moment μ in a nonuniform magnetic field of a DC looping current. Similarly, we seek the criteria that in the presence of gravity the massive magnet steadily oscillates as well. In both cases the effective forces are nonlinear and the equations describing the motions are nonlinear analytically unsolvable differential equations. Utilizing Mathematica numeric scheme we solve these equations numerically. Plots of these solutions for selected parameters conducive to equal force couplings unveil the fundamental character differences of the oscillations. For comprehensive visual understanding we simulate the actual oscillations.

AB - We consider two scenarios: First we drop an electric point-like charge with a chosen charge q in a nonuniform electrostatic field. We then seek for the criteria that in the presence of gravity the massive charge steadily oscillates. In the second scenario we drop a permanent magnet with a chosen magnetic dipole moment μ in a nonuniform magnetic field of a DC looping current. Similarly, we seek the criteria that in the presence of gravity the massive magnet steadily oscillates as well. In both cases the effective forces are nonlinear and the equations describing the motions are nonlinear analytically unsolvable differential equations. Utilizing Mathematica numeric scheme we solve these equations numerically. Plots of these solutions for selected parameters conducive to equal force couplings unveil the fundamental character differences of the oscillations. For comprehensive visual understanding we simulate the actual oscillations.

UR - http://www.scopus.com/inward/record.url?scp=84893228648&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893228648&partnerID=8YFLogxK

U2 - 10.1109/ICCSA.2013.17

DO - 10.1109/ICCSA.2013.17

M3 - Conference contribution

AN - SCOPUS:84893228648

SN - 9780769550459

T3 - Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013

SP - 46

EP - 52

BT - Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013

PB - IEEE Computer Society

ER -