@inproceedings{17e166c4695c4c85b766100fed962380,
title = "Nonlinear dynamics of duffing system with fractional order damping",
abstract = "In this paper, nonlinear dynamics of Duffing system with fractional order damping is investigated. The four order Runge-Kutta method and ten order CFE-Euler methods are introduced to simulate the fractional order Duffing equations. The effect of taking fractional order on the system dynamics is investigated using phase diagrams, bifurcation diagrams and Poincare map. The bifurcation diagram is also used to exam the effects of excitation amplitude and frequency on Duffing system with fractional order damping. The analysis results show that the fractional order damped Duffing system exhibits period motion, chaos, period motion, chaos, period motion in turn when the fractional order changes from 0.1 to 2.0. A period doubling route to chaos is clearly observed.",
author = "Junyi Cao and Chengbin Ma and Hang Xie and Zhuangde Jiang",
year = "2010",
doi = "10.1115/1.4002092",
language = "英语",
isbn = "9780791849019",
series = "Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009",
publisher = "American Society of Mechanical Engineers (ASME)",
number = "PART B",
pages = "1003--1009",
booktitle = "Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009",
edition = "PART B",
note = "2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009 ; Conference date: 30-08-2009 Through 02-09-2009",
}