Co-dimension Two Bifurcations in the Presence of NoiseSource: Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 001::page 259Author:N. Sri Namachchivaya
DOI: 10.1115/1.2897161Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Some results pertaining to co-dimension two stochastic bifurcations are presented. The normal form associated with non-semi-simple double-zero eigenvalues is considered. The method of stochastic averaging applicable for singularly perturbed stochastic differential equations is used to further reduce the problem to a one dimensional diffusion process. Probability density, most probable values, stability conditions in probability, and mean exit times are obtained for the reduced system.
keyword(s): Dimensions , Noise (Sound) , Bifurcation , Probability , Eigenvalues , Differential equations , Diffusion processes , Density AND Stability ,
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| contributor author | N. Sri Namachchivaya | |
| date accessioned | 2017-05-08T23:34:46Z | |
| date available | 2017-05-08T23:34:46Z | |
| date copyright | March, 1991 | |
| date issued | 1991 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26330#259_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/108117 | |
| description abstract | Some results pertaining to co-dimension two stochastic bifurcations are presented. The normal form associated with non-semi-simple double-zero eigenvalues is considered. The method of stochastic averaging applicable for singularly perturbed stochastic differential equations is used to further reduce the problem to a one dimensional diffusion process. Probability density, most probable values, stability conditions in probability, and mean exit times are obtained for the reduced system. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Co-dimension Two Bifurcations in the Presence of Noise | |
| type | Journal Paper | |
| journal volume | 58 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2897161 | |
| journal fristpage | 259 | |
| journal lastpage | 265 | |
| identifier eissn | 1528-9036 | |
| keywords | Dimensions | |
| keywords | Noise (Sound) | |
| keywords | Bifurcation | |
| keywords | Probability | |
| keywords | Eigenvalues | |
| keywords | Differential equations | |
| keywords | Diffusion processes | |
| keywords | Density AND Stability | |
| tree | Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 001 | |
| contenttype | Fulltext |