| contributor author | V. T. Jovanovic | |
| contributor author | K. Kazerounian | |
| date accessioned | 2017-05-08T23:57:25Z | |
| date available | 2017-05-08T23:57:25Z | |
| date copyright | June, 1998 | |
| date issued | 1998 | |
| identifier issn | 1050-0472 | |
| identifier other | JMDEDB-27652#299_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/120902 | |
| description abstract | In this paper we examine the sensitive dependence on the initial conditions of the Newton-Raphson search technique. It is demonstrated that this sensitivity has a fractal nature which can be effectively utilized to find all solutions to a nonlinear equation. The developed technique uses an important feature of fractals to preserve shape of basins of attraction on infinitely small scales. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Using Chaos to Obtain Global Solutions in Computational Kinematics | |
| type | Journal Paper | |
| journal volume | 120 | |
| journal issue | 2 | |
| journal title | Journal of Mechanical Design | |
| identifier doi | 10.1115/1.2826972 | |
| journal fristpage | 299 | |
| journal lastpage | 304 | |
| identifier eissn | 1528-9001 | |
| keywords | Kinematics | |
| keywords | Chaos | |
| keywords | Fractals | |
| keywords | Nonlinear equations AND Shapes | |
| tree | Journal of Mechanical Design:;1998:;volume( 120 ):;issue: 002 | |
| contenttype | Fulltext | |