Solution of the Duffing Helmholtz Oscillator Equation by Elementary Functions with Physics Applications | Chapter 9 | Current Perspective to Physical Science Research Vol. 7

In this article we give a new analytical solution to the Duffing-Helmholtz oscillator equation in terms of elementary functions. The solution obtained is compared with the numerical solution and with the exact analytical solution obtained using elliptic functions. We apply the obtained results to some physics problems. The proposed methodology may be of great interest to researchers in the field of nonlinear oscillators.

Author(s) Details:

Alvaro H. Salas S.,
Universidad Nacional de Colombia, Fizmako Research Group, Bogotá, Colombia.

Please see the link here: https://stm.bookpi.org/CPPSR-V7/article/view/13472

Focusing on Spacetime Geometry and the Laws of Physics

 Well known are the Laws of Classical and Quantum Mechanics. Its origin, however, remains elusive and its understanding contentious. It was argued that unless one manages to derive the Laws of Physics from the very first principles, this condition will continue. We use simple Differential Geometry principles in this paper to yield the Klein-Gordon equation and the Relativistic Mechanics Lagrange equations without using the usual Quantum Mechanics, Special Relativity or even General Relativity postulates.

Author(s) Details

D. M. Kalassa
Independent Researcher, F-419 Boulevard Alexandre Taché, Gatineau (QC), J9A1M6, Canada.

View Book :- https://bp.bookpi.org/index.php/bpi/catalog/book/301