Analytical Solution to the Generalized Complex Duffing Equation
Future scientific and technological evolution in many areas of applied mathematics and modern physics will necessarily depend on dealing with complex systems. Such systems are complex in both their composition and behavior, namely, dealing with complex dynamical systems using different types of Duff...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2022/2711466 |
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| _version_ | 1849407188683980800 |
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| author | Alvaro H. Salas S Gilder Cieza Altamirano Lorenzo J. Martínez H |
| author_facet | Alvaro H. Salas S Gilder Cieza Altamirano Lorenzo J. Martínez H |
| author_sort | Alvaro H. Salas S |
| collection | DOAJ |
| description | Future scientific and technological evolution in many areas of applied mathematics and modern physics will necessarily depend on dealing with complex systems. Such systems are complex in both their composition and behavior, namely, dealing with complex dynamical systems using different types of Duffing equations, such as real Duffing equations and complex Duffing equations. In this paper, we derive an analytical solution to a complex Duffing equation. We extend the Krýlov–Bogoliúbov–Mitropólsky method for solving a coupled system of nonlinear oscillators and apply it to solve a generalized form of a complex Duffing equation. |
| format | Article |
| id | doaj-art-45c9d284836b4ebe8f7b3ad79a2cd618 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-45c9d284836b4ebe8f7b3ad79a2cd6182025-08-20T03:36:10ZengWileyThe Scientific World Journal1537-744X2022-01-01202210.1155/2022/2711466Analytical Solution to the Generalized Complex Duffing EquationAlvaro H. Salas S0Gilder Cieza Altamirano1Lorenzo J. Martínez H2Universidad Nacional de ColombiaUniversidad Nacional Autónoma de ChotaUniversidad de CaldasFuture scientific and technological evolution in many areas of applied mathematics and modern physics will necessarily depend on dealing with complex systems. Such systems are complex in both their composition and behavior, namely, dealing with complex dynamical systems using different types of Duffing equations, such as real Duffing equations and complex Duffing equations. In this paper, we derive an analytical solution to a complex Duffing equation. We extend the Krýlov–Bogoliúbov–Mitropólsky method for solving a coupled system of nonlinear oscillators and apply it to solve a generalized form of a complex Duffing equation.http://dx.doi.org/10.1155/2022/2711466 |
| spellingShingle | Alvaro H. Salas S Gilder Cieza Altamirano Lorenzo J. Martínez H Analytical Solution to the Generalized Complex Duffing Equation The Scientific World Journal |
| title | Analytical Solution to the Generalized Complex Duffing Equation |
| title_full | Analytical Solution to the Generalized Complex Duffing Equation |
| title_fullStr | Analytical Solution to the Generalized Complex Duffing Equation |
| title_full_unstemmed | Analytical Solution to the Generalized Complex Duffing Equation |
| title_short | Analytical Solution to the Generalized Complex Duffing Equation |
| title_sort | analytical solution to the generalized complex duffing equation |
| url | http://dx.doi.org/10.1155/2022/2711466 |
| work_keys_str_mv | AT alvarohsalass analyticalsolutiontothegeneralizedcomplexduffingequation AT gilderciezaaltamirano analyticalsolutiontothegeneralizedcomplexduffingequation AT lorenzojmartinezh analyticalsolutiontothegeneralizedcomplexduffingequation |