YM Chen, JK Liu - Applied Mathematics and Computation, 2016 - Elsevier
Calculations and analysis on bifurcations of periodic solutions has played a pivotal role in nonlinear dynamics researches. This paper presents an efficient and precise approach …
Y Chen, J Liu - Acta Mechanica Sinica, 2009 - Springer
We have deduced an iteration scheme in the incremental harmonic balance (IHB) method using the harmonic balance plus the Newton-Raphson method. Since the convergence of …
JI Ramos - Applied mathematics and computation, 2006 - Elsevier
Two piecewise-linearized methods for the numerical solution of nonlinear second-order differential equations which contain the first-order derivative are presented. These methods …
JI Ramos - Chaos, Solitons & Fractals, 2006 - Elsevier
An approximate method based on piecewise linearization is developed for the determination of periodic orbits of nonlinear oscillators. The method is based on Taylor series expansions …
P Kreuter, B Witzigmann… - IEEE Journal of Selected …, 2011 - ieeexplore.ieee.org
In this paper, a frequency-domain harmonic balance method is developed for solving the Maxwell-Bloch equations or simplified versions thereof for semiconductor lasers. The …
R Liu, J Zhang, H Guo, Z Deng - Advances in Mechanical …, 2013 - journals.sagepub.com
Clearance joints significantly affect the dynamic properties of deployable structures (DSs). This paper presents a spring-mass model with clearance for the study of the axial stiffness of …