| Journal: | Brazilian journal of physics |
| Database: | PERIÓDICA |
| System number: | 000385167 |
| ISSN: | 0103-9733 |
| Authors: | Ishihara, Masamichi1 |
| Institutions: | 1Koriyama Women’s University, Department of Human Life Studies, Koriyama, Fukushima. Japón |
| Year: | 2015 |
| Season: | Feb |
| Volumen: | 45 |
| Number: | 1 |
| Pages: | 112-119 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, aplicado |
| English abstract | The growth of the amplitude in a Mathieu-like equation with multiplicative white noise is studied. To obtain an approximate analytical expression for the exponent at the extremum on parametric resonance regions, a time-interval width is introduced. To determine the exponents numerically, the stochastic differential equations are solved by a symplectic numerical method. The Mathieu-like equation contains a parameter α determined by the intensity of noise and the strength of the coupling between the variable and noise; without loss of generality, only non-negative α can be considered. The exponent is shown to decrease with α, reach a minimum and increase after that. The minimum exponent is obtained analytically and numerically. As a function of α, the minimum at α = 0, occurs on the parametric resonance regions of α = 0. This minimum indicates suppression of growth by multiplicative white noise |
| Disciplines: | Física y astronomía |
| Keyword: | Física, Ruido blanco, Resonancia paramétrica, Supresión de crecimiento |
| Keyword: | Physics and astronomy, Physics, White noise, Parametric resonance, Growth suppression |
| Full text: | Texto completo (Ver HTML) |
