This article analyzes a strongly nonlinear oscillator with cubic and harmonic restoring force and proposes an efficient analytical technique based on the modified energy balance method (MEBM). The proposed method incorporates higher-order approximations. After applying the proposed MEBM, a set of complicated higher-order nonlinear algebraic equations are obtained. Higher-order nonlinear algebra...

In this paper we consider several families of potential non-isochronous systems and study their associated period functions. Firstly, we prove some properties of these functions, like their local behavior near the critical point or infinity, or their global monotonicity. Secondly, we show that these properties are also present when we approach to the same questions using the Harmonic Balance Me...

Numerical modeling and analysis are effective techniques to assist in the design of high-frequency switching power supplies. Striving for high power densities and higher efficiencies has pushed the operating frequencies up, resulting in new circuit configurations and different component architecture. This paper presents a numerical method that is used to analyze magnetic systems for switching p...