Vibration of the Duffing Oscillator: Effect of Fractional Damping
We have applied the Melnikov criterion to examine a global homoclinic bifurcation and transition to chaos in a case of the Duffing system with nonlinear fractional damping and external excitation. Using perturbation methods we have found a critical forcing amplitude above which the system may behave...
Saved in:
Main Authors: | Marek Borowiec, Grzegorz Litak, Arkadiusz Syta |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2007-01-01
|
Series: | Shock and Vibration |
Online Access: | http://dx.doi.org/10.1155/2007/276515 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Analytical Approximant to a Quadratically Damped Duffing Oscillator
by: Alvaro H. Salas S
Published: (2022-01-01) -
New Approach for the Analysis of Damped Vibrations of Fractional Oscillators
by: Yuriy A. Rossikhin, et al.
Published: (2009-01-01) -
Threshold for Chaos of a Duffing Oscillator with Fractional-Order Derivative
by: Wuce Xing, et al.
Published: (2019-01-01) -
Enhanced Bearing Fault Detection Using Step-Varying Vibrational Resonance Based on Duffing Oscillator Nonlinear System
by: Yongbin Liu, et al.
Published: (2017-01-01) -
Heteroclinic Bifurcation Behaviors of a Duffing Oscillator with Delayed Feedback
by: Shao-Fang Wen, et al.
Published: (2018-01-01)