A Theory of Index for Point Mapping Dynamical SystemsSource: Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 001::page 185Author:C. S. Hsu
DOI: 10.1115/1.3153601Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Dynamical systems governed by discrete time-difference equations are referred to as point mapping dynamical systems in this paper. Based upon the Poincaré theory of index for vector fields, a theory of index is established for point mapping dynamical systems. Besides its intrinsic theoretic value, the theory can be used to help search and locate periodic solutions of strongly nonlinear systems.
keyword(s): Dynamic systems , Nonlinear systems AND Equations ,
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| contributor author | C. S. Hsu | |
| date accessioned | 2017-05-08T23:08:08Z | |
| date available | 2017-05-08T23:08:08Z | |
| date copyright | March, 1980 | |
| date issued | 1980 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26138#185_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/92975 | |
| description abstract | Dynamical systems governed by discrete time-difference equations are referred to as point mapping dynamical systems in this paper. Based upon the Poincaré theory of index for vector fields, a theory of index is established for point mapping dynamical systems. Besides its intrinsic theoretic value, the theory can be used to help search and locate periodic solutions of strongly nonlinear systems. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Theory of Index for Point Mapping Dynamical Systems | |
| type | Journal Paper | |
| journal volume | 47 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3153601 | |
| journal fristpage | 185 | |
| journal lastpage | 190 | |
| identifier eissn | 1528-9036 | |
| keywords | Dynamic systems | |
| keywords | Nonlinear systems AND Equations | |
| tree | Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 001 | |
| contenttype | Fulltext |