Steady state response of a nonlinear system
This paper presents a method of the determination of the steady state response for a class of nonlinear systems. The response of a nonlinear system to a given input is first obtained in the form of a series solution in the multidimensional frequency domain. Conditions are then determined for which t...
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| Format: | Article |
| Language: | English |
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Wiley
1980-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171280000403 |
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| _version_ | 1850158420930330624 |
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| author | Sudhangshu B. Karmakar |
| author_facet | Sudhangshu B. Karmakar |
| author_sort | Sudhangshu B. Karmakar |
| collection | DOAJ |
| description | This paper presents a method of the determination of the steady state response for a class of nonlinear systems. The response of a nonlinear system to a given input is first obtained in the form of a series solution in the multidimensional frequency domain. Conditions are then determined for which this series solution will converge. The conversion from multidimensions to a single dimension is then made by the method of association of variables, and thus an equivalent linear model of the nonlinear system is obtained. The steady state response is then found by any technique employed with linear system. |
| format | Article |
| id | doaj-art-6420b413fe2d4a0bb4be0c87cf514c46 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1980-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6420b413fe2d4a0bb4be0c87cf514c462025-08-20T02:23:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013353554710.1155/S0161171280000403Steady state response of a nonlinear systemSudhangshu B. Karmakar0Western Electric Company, Whippany 07981, New Jersey, USAThis paper presents a method of the determination of the steady state response for a class of nonlinear systems. The response of a nonlinear system to a given input is first obtained in the form of a series solution in the multidimensional frequency domain. Conditions are then determined for which this series solution will converge. The conversion from multidimensions to a single dimension is then made by the method of association of variables, and thus an equivalent linear model of the nonlinear system is obtained. The steady state response is then found by any technique employed with linear system.http://dx.doi.org/10.1155/S0161171280000403association of variablesmultidimensional frequency domainnonlinear transfer function. |
| spellingShingle | Sudhangshu B. Karmakar Steady state response of a nonlinear system International Journal of Mathematics and Mathematical Sciences association of variables multidimensional frequency domain nonlinear transfer function. |
| title | Steady state response of a nonlinear system |
| title_full | Steady state response of a nonlinear system |
| title_fullStr | Steady state response of a nonlinear system |
| title_full_unstemmed | Steady state response of a nonlinear system |
| title_short | Steady state response of a nonlinear system |
| title_sort | steady state response of a nonlinear system |
| topic | association of variables multidimensional frequency domain nonlinear transfer function. |
| url | http://dx.doi.org/10.1155/S0161171280000403 |
| work_keys_str_mv | AT sudhangshubkarmakar steadystateresponseofanonlinearsystem |