Title
On Periodic Motions In A Parametric Hardening Duffing Oscillator
Abstract
In this paper, analytical solutions for periodic motions in a parametric hardening Duffing oscillator are presented using the finite Fourier series expression, and the corresponding stability and bifurcation analysis for such periodic motions are carried out. The frequency-amplitude characteristics of asymmetric period-1 and symmetric period-2 motions are discussed. The hardening Mathieu-Duffing oscillator is also numerically simulated to verify the approximate analytical solutions of periodic motions. Period-1 asymmetric and period-2 symmetric motions are illustrated for a better understanding of periodic motions in the hardening Mathieu-Duffing oscillator.
Year
DOI
Venue
2014
10.1142/S0218127414300043
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Hardening Mathieu-Duffing oscillator, asymmetric period-1 motions, symmetric period-2 motion, nonlinear dynamical systems
Journal
24
Issue
ISSN
Citations 
1
0218-1274
1
PageRank 
References 
Authors
0.39
1
2
Name
Order
Citations
PageRank
Albert C. J. Luo16022.16
Dennis M. O'Connor210.39