Analytical Solution to the Generalized Complex Duffing Equation. (28th November 2022)

• Record Type: Journal Article
• Authors: Salas S, Alvaro H.; Altamirano, Gilder Cieza; Martínez H, Lorenzo J.
• Other Names: Khan Muhammad Altaf Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2022(2022)
• Publication Date: 2022-11-28
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2022/2711466
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : 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.