Improving the computational implementation of the parametric identification method for interval discrete dynamic models

2017 ◽  
Author(s):  
Mykola Dyvak ◽  
Natalia Porplytsya ◽  
Ihor Borivets ◽  
Mykola Shynkaryk
Keyword(s):  
Dynamic Models ◽  
Parametric Identification ◽  
Discrete Dynamic ◽  
Identification Method ◽  
Computational Implementation

Discrete Dynamic Models for Elasto-Inelastic Beams

1964 ◽  
Vol 90 (5) ◽  
pp. 71-102
Author(s):  
Robert K. Wen ◽  
Teoktistos Toridis
Keyword(s):  
Dynamic Models ◽  
Discrete Dynamic

Closure to “Discrete Dynamic Models for Elasto-Inelastic Beams”

1966 ◽  
Vol 92 (1) ◽  
pp. 188-189
Author(s):  
Robert K. Wen ◽  
Teoktistos Toridis
Keyword(s):  
Dynamic Models ◽  
Discrete Dynamic

Non-Parametric Identification Method of Volterra Kernels for Nonlinear Systems Excited by Multitone Signal

2013 ◽  
Vol 16 (2) ◽  
pp. 519-529 ◽  
Author(s):  
H. T. Han ◽  
H. G. Ma ◽  
L. N. Tan ◽  
J. F. Cao ◽  
J. L. Zhang
Keyword(s):  
Nonlinear Systems ◽  
Parametric Identification ◽  
Volterra Kernels ◽  
Identification Method ◽  
Non Parametric

Chaos in a Discrete Dynamic Model of Traffic Flow

2007 ◽  
Author(s):  
Meng Xu ◽  
Ziyou Gao
Keyword(s):  
Traffic Flow ◽  
Dynamic Models ◽  
Chaotic Behavior ◽  
Flow Speed ◽  
Free Flow ◽  
Flow Density ◽  
Fundamental Diagram ◽  
Discrete Dynamic ◽  
Curve Model ◽  
Two Parameters

This paper aims to discuss unstable traffic flow and to identify if chaotic phenomena exist in a traffic flow dynamic system. Two discrete dynamic models are proposed, which are derived from the flow-density-speed fundamental diagram and Del Castillo and Benitez’s exponential curve model and maximum sensitivity curve model. Both the models have two parameters, which are the ratio of free flow and spacing average speed and the ratio of the absolute value of kinematic wave speed at jam density and free flow speed. Chaos is found in the two models when the two values increase separately. The Liapunov exponents were used to examine the characters of the chaotic behavior in the two models. These results are illustrated by numerical examples.

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