A mathematical model for non-linear dynamics of conservative systems with non-homogeneous boundary conditions

2006 ◽  
Vol 84 (29-30) ◽  
pp. 1918-1924 ◽  
Author(s):  
V.A. Krysko ◽  
J. Awrejcewicz ◽  
T. Molodenkova
Keyword(s):  
Mathematical Model ◽  
Boundary Conditions ◽  
Linear Dynamics ◽  
Non Linear ◽  
Conservative Systems

Non-linear normal modes and their applications in mechanical systems

2011 ◽  
Vol 225 (10) ◽  
pp. 2369-2384 ◽  
Author(s):  
Y V Mikhlin ◽  
N V Perepelkin
Keyword(s):  
Cylindrical Shell ◽  
Mechanical Systems ◽  
Normal Modes ◽  
Rotor Dynamics ◽  
Vehicle Suspension ◽  
Linear Dynamics ◽  
Non Linear ◽  
Conservative Systems

Concepts of non-linear normal modes (NNMs) of vibration in conservative and near-conservative systems are considered. Construction of the NNMs and some their applications in applied problems are presented. The non-linear vibro-absorption problem, the cylindrical shell non-linear dynamics, the vehicle suspension non-linear dynamics, and the rotor dynamics are considered.

Imprecision of Laboratory Determinations and Diagnostic Accuracy: Theoretical Considerations

1974 ◽  
Vol 13 (03) ◽  
pp. 151-158 ◽  
Author(s):  
D. A. B. Lindbebo ◽  
Fr. R. Watson
Keyword(s):  
Mathematical Model ◽  
Diagnostic Accuracy ◽  
Diagnostic Process ◽  
Clinical Laboratories ◽  
Non Linear ◽  
Theoretical Considerations ◽  
Made In

Recent studies suggest the determinations of clinical laboratories must be made more precise than at present. This paper presents a means of examining benefits of improvement in precision. To do this we use a mathematical model of the effect upon the diagnostic process of imprecision in measurements and the influence upon these two of Importance of Diagnosis and Prevalence of Disease. The interaction of these effects is grossly non-linear. There is therefore no proper intuitive answer to questions involving these matters. The effects can always, however, be calculated.Including a great many assumptions the modeling suggests that improvements in precision of any determination ought probably to be made in hospital rather than screening laboratories, unless Importance of Diagnosis is extremely high.

Glycemia monitoring

1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra
Keyword(s):  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Differential Equations ◽  
Blood Sugar ◽  
Self Regulation ◽  
Physiological System ◽  
Non Linear ◽  
The Mathematical Model

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.

Low pressure hydrocephalus and ventriculomegaly: hysteresis, non-linear dynamics, and the benefits of CSF diversion

2002 ◽  
Vol 16 (6) ◽  
pp. 555-561 ◽  
Author(s):  
M. S. Lesniak ◽  
R. E. Clatterbuck ◽  
D. Rigamonti ◽  
M. A. Williams
Keyword(s):  
Low Pressure ◽  
Linear Dynamics ◽  
Non Linear ◽  
Csf Diversion

Non-linear dynamics in DIS at NLO

2017 ◽  
Author(s):  
Giovanni Antonio Chirilli
Keyword(s):  
Linear Dynamics ◽  
Non Linear
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