Analytical routes of period-m motions to chaos in a parametric, quadratic nonlinear oscillator-Reference-Cited by-同舟云学术

Analytical routes of period-m motions to chaos in a parametric, quadratic nonlinear oscillator

Published:2014-07-09 Issue:1 Volume:4 Page:1-22
ISSN:2195-268X
Container-title:International Journal of Dynamics and Control
language:en
Short-container-title:Int. J. Dynam. Control

Author:

Luo Albert C. J.,Yu Bo

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Control and Optimization,Mechanical Engineering,Modelling and Simulation,Civil and Structural Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s40435-014-0112-7.pdf

Reference25 articles.

1. Luo ACJ, Yu B (2014) Bifurcation trees of periodic motion to chaos in a parametric, quadratic nonlinear oscillator. Int J Bifurcation Chaos (in press)

2. Luo ACJ, Yu B (2014) On effects of excitation amplitude on bifurcation trees of periodic motions in parametric, quadratic nonlinear oscillator. Nonlinear Dyn Mobile Robot 1(2):231–263

3. Mathieu E (1868) Memoire sur le mouvement vibratoire d’une membrance deforme elliptique. J Matheematique 2(13):137–203

4. Mathieu E (1873) Cours de physique methematique. Gauthier-Villars, Paris

5. Hill GW (1886) On the part of the motion of the lunar perigee. Acta Math 8:1–36

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