Browsing by Author "Salas S., Alvaro H."

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Analytical Solution to the Generalized Complex Duffing Equation.
(Hindawi Limited, 2022-11) Salas S., Alvaro H.; Cieza Altamirano, Gilder; Martínez H, Lorenzo J.
Future scientifc 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 diferent types of Dufng equations, such as real Dufng equations and complex Dufng equations. In this paper, we derive an analytical solution to a complex Dufng equation. We extend the Krylov–Bogoli´ubov–Mitropolsky method for solving a coupled system of nonlinear oscillators and apply it to solve a generalized form of a complex Dufng equation.
Solution to a Damped Duffing Equation Using He's Frequency Approach
(Hindawi Limited, 2022-07) Salas S., Alvaro H.; Cieza Altamirano, Gilder; Sánchez-Chero, Manuel Jesus
In this paper, we generalize He’s frequency approach for solving the damped Du ng equation by introducing a time varying amplitude. We also solve this equation by means of the homotopy method and the Lindstedt–Poincar´e method. High accurate formulas for approximating the Jacobi elliptic function cn are formally derived using Chebyshev and Pade approximation techniques.