Universidad Nacional de Colombia, Fizmako Research Group, Bogotá, Colombia.
Universidad Nacional Autónoma de Chota, Cajamarca, Peru.
ScientificWorldJournal. 2022 Nov 28;2022:2711466. doi: 10.1155/2022/2711466. eCollection 2022.
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.
未来科学技术在许多应用数学和现代物理领域的发展必然依赖于对复杂系统的处理。这些系统在组成和行为上都是复杂的，即使用不同类型的杜芬方程（如实数杜芬方程和复数杜芬方程）来处理复杂动力系统。在本文中，我们推导出了一个复数杜芬方程的解析解。我们扩展了用于求解非线性振荡器耦合系统的 Krýlov-Bogoliúbov-Mitropólsky 方法，并将其应用于求解广义形式的复数杜芬方程。
