Frequency Characteristics Analysis Based on Simplified Lorenz System

2018 ◽  
Vol 07 (04) ◽  
pp. 93-100
Author(s):  
秋杰 陈
Keyword(s):  
Lorenz System ◽  
Frequency Characteristics ◽  
Characteristics Analysis ◽  
Simplified Lorenz System

Frequency Characteristics Analysis of Micro-Displacement Structure with Parallel Flexure Hinges

2016 ◽  
Vol 693 ◽  
pp. 141-145
Author(s):  
Jie Qiong Lin ◽  
Ming Ming Lu ◽  
Xiao Qin Zhou ◽  
Qiang Liu
Keyword(s):  
Natural Frequency ◽  
Structure Design ◽  
Frequency Characteristics ◽  
Test Results ◽  
Structure Parameter ◽  
Dynamics Modeling ◽  
Displacement Structure ◽  
Flexure Hinges ◽  
Modeling Analysis ◽  
Characteristics Analysis

Flexure hinges based micro-displacement structure has been widely used for micro-precision machinery, and the natural frequency characteristics analysis is one of the most important elements in the structure design. In this paper, natural frequency characteristics analysis of a micro-displacement structure with parallel flexible hinges is presented. The effects of each structure parameter to the natural frequency of the micro-displacement structure are simulation by dynamics modeling. The parameters can be divided into three categories, namely, parallel flexure hinges parameter, micro-displacement structure parameter and material parameter. Two micro-displacement structures using common materials are machined for frequency test. The test results of two micro-displacement structure verified the modeling analysis, and the natural frequency characteristics analysis in this paper can be referenced in micro-displacement structure design.

BIFURCATIONS AND CHAOS IN FRACTIONAL-ORDER SIMPLIFIED LORENZ SYSTEM

2010 ◽  
Vol 20 (04) ◽  
pp. 1209-1219 ◽  
Author(s):  
KEHUI SUN ◽  
XIA WANG ◽  
J. C. SPROTT
Keyword(s):  
Fractional Order ◽  
Lorenz System ◽  
Complex Dynamics ◽  
Phase Portraits ◽  
Largest Lyapunov Exponent ◽  
Fractional Order Systems ◽  
Wide Range ◽  
The Time Domain ◽  
Fractional Orders ◽  
Simplified Lorenz System

The dynamics of fractional-order systems have attracted increasing attention in recent years. In this paper, we numerically study the bifurcations and chaotic behaviors in the fractional-order simplified Lorenz system using the time-domain scheme. Chaos does exist in this system for a wide range of fractional orders, both less than and greater than three. Complex dynamics with interesting characteristics are presented by means of phase portraits, bifurcation diagrams and the largest Lyapunov exponent. Both the system parameter and the fractional order can be taken as bifurcation parameters, and the range of existing chaos is different for different parameters. The lowest order we found for this system to yield chaos is 2.62.

scholarly journals Design and application of multi-scroll chaotic attractors based on simplified Lorenz system

2014 ◽  
Vol 63 (12) ◽  
pp. 120511
Author(s):  
Ai Xing-Xing ◽  
Sun Ke-Hui ◽  
He Shao-Bo ◽  
Wang Hui-Hai
Keyword(s):  
Lorenz System ◽  
Chaotic Attractors ◽  
Simplified Lorenz System ◽  
Design And Application

scholarly journals Amplitude-frequency characteristics analysis for vertical vibration of hydraulic AGC system under nonlinear action

AIP Advances ◽  
2019 ◽  
Vol 9 (3) ◽  
pp. 035019 ◽  
Author(s):  
Yong Zhu ◽  
Pengfei Qian ◽  
Shengnan Tang ◽  
Wanlu Jiang ◽  
Wei Li ◽  
...  
Keyword(s):  
Vertical Vibration ◽  
Frequency Characteristics ◽  
Characteristics Analysis

Hyperchaos and hyperchaos control of the sinusoidally forced simplified Lorenz system

2012 ◽  
Vol 69 (3) ◽  
pp. 1383-1391 ◽  
Author(s):  
Keihui Sun ◽  
Xuan Liu ◽  
Congxu Zhu ◽  
J. C. Sprott
Keyword(s):  
Lorenz System ◽  
Hyperchaos Control ◽  
Simplified Lorenz System
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