Resonant Layers in Nonlinear Dynamics-Reference-Cited by-同舟云学术

Resonant Layers in Nonlinear Dynamics

Published:1998-09-01 Issue:3 Volume:65 Page:727-736
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Han R. P. S.¹,Luo A. C. J.²

Affiliation:

1. Department of Mechanical Engineering, University of lowa, 2136 Seamans Center, lowa City, IA 52242-1527

2. Department of Mechanical Engineering, University of Southern Illinois at Edwardsville, Edwardsville, IL 62026

Abstract

A new method based on an incremental energy approach and the standard mapping technique is proposed for the study of resonant layers in nonlinear dynamics. To demonstrate the procedure, the method is applied to four types of Duffing oscillators. The appearance, disappearance and accumulated disappearance strengths of the resonant layers for each type of oscillator are derived. A quantitative check of the appearance strength is performed by computing its value using three independent methods: Chirikov overlap criterion, renormalization group technique, and numerical simulations. It is also observed that for the case of the twin-well Duffing oscillator, its perturbed left and right wells are asymmetric.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/65/3/727/5465879/727_1.pdf

Reference27 articles.

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5. Feng K. , and QinM. Z., 1991, “Hamiltonian Algorithms for Hamiltonian Systems and a Comparative Numerical Study,” Comput. Phys. Commun., Vol. 65, pp. 173–187.

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