A DOUBLE-SCROLL ROSSLER SYSTEM

2005 ◽  
Vol 15 (05) ◽  
pp. 1815-1822
Author(s):  
JOSE ALVAREZ-RAMIREZ ◽  
ILSE CERVANTES ◽  
GILBERTO ESPINOSA-PAREDES
Keyword(s):  
Singular Perturbation ◽  
Perturbation Method ◽  
Dynamic Behavior ◽  
Singular Perturbation Method ◽  
Rossler System ◽  
Rössler System

This letter uses a singular perturbation method to introduce a double-scroll version of the Rossler system. Its generation and basic dynamic behavior are briefly described.

Singular Perturbation Method for Solving Non-Linear Vibration of Stay Cable (I) - Theory Research

2011 ◽  
Vol 147 ◽  
pp. 112-116
Author(s):  
Zhi Hong Ran ◽  
Jun Tong Qu ◽  
Fei He ◽  
Sheng Miao
Keyword(s):  
Singular Perturbation ◽  
Perturbation Method ◽  
Stay Cable ◽  
Linear Vibration ◽  
Singular Perturbation Method ◽  
Cable Structure ◽  
Non Linear ◽  
Cable Force ◽  
Set Up ◽  
Theory Research

In order to solve the difficult in calculating cable vibration, the non-linear dynamic model of cable was set up with geometrical non-linearity. The differential equation was solved using the singular perturbation method. The analytical expression of frequency and form function was deduced. The expression can be widely used for the field of measurement of cable force and identification of parameter in cable structure.

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